The DOI matches its Crossref record; 92 of the 92 references it cites were found in a registry or an index.
Two new diagnostics of dark energy
Open accessAbstract
We introduce two new diagnostics of dark energy (DE). The first, $Om$, is a combination of the Hubble parameter and the cosmological redshift and provides a null test of dark energy being a cosmological constant $\ensuremath{\Lambda}$. Namely, if the value of $Om(z)$ is the same at different redshifts, then $\mathrm{DE}\ensuremath{\equiv}\ensuremath{\Lambda}$, exactly. The slope of $Om(z)$ can differentiate between different models of dark energy even if the value of the matter density is not accurately known. For DE with an unevolving equation of state, a positive slope of $Om(z)$ is suggestive of phantom ($w<\ensuremath{-}1$) while a negative slope indicates quintessence ($w>\ensuremath{-}1$). The second diagnostic---acceleration probe $\overline{q}$---is the mean value of the deceleration parameter over a small redshift range. It can be used to determine the cosmological redshift at which the universe began to accelerate, again without reference to the current value of the matter density. We apply the $Om$ and $\overline{q}$ diagnostics to the Union data set of type Ia supernovae combined with recent data from the cosmic microwave background (Wilkinson Microwave Anisotropy Probe 5) and baryon acoustic oscillations.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
Riess, A. G., Filippenko, A. V., Challis, P., Clocchiatti, A., Diercks, A., Garnavich, P. M., Gilliland, R. L., Hogan, C. J., Jha, S., Kirshner, R. P., et al. (1998) · The Astronomical Journal · doi:10.1086/300499 · Cited by 19,704
Measurements of Ω and Λ from 42 High‐Redshift Supernovae
Perlmutter, S., Aldering, G., Goldhaber, G., Knop, R. A., Nugent, P., Castro, P. G., Deustua, S., Fabbro, S., Goobar, A., Groom, D. E., et al. (1999) · The Astrophysical Journal · doi:10.1086/307221 · Cited by 18,062
Spergel, D. N., Verde, L., Peiris, H. V., Komatsu, E., Nolta, M. R., Bennett, C. L., Halpern, M., Hinshaw, G., Jarosik, N., Kogut, A., et al. (2003) · The Astrophysical Journal Supplement Series · doi:10.1086/377226 · Cited by 10,976
The cosmological constant problem
Weinberg, S. (1989) · Reviews of Modern Physics · doi:10.1103/revmodphys.61.1 · Cited by 7,341
Three‐Year Wilkinson Microwave Anisotropy Probe ( WMAP ) Observations: Implications for Cosmology
Spergel, D. N., Bean, R., Dore, O., Nolta, M. R., Bennett, C. L., Dunkley, J., Hinshaw, G., Jarosik, N., Komatsu, E., Page, L., et al. (2007) · The Astrophysical Journal Supplement Series · doi:10.1086/513700 · Cited by 6,778
COPELAND, E. J., SAMI, M., & TSUJIKAWA, S. (2006) · International Journal of Modern Physics D · doi:10.1142/s021827180600942x · Cited by 6,239
The cosmological constant and dark energy
Peebles, P. J. E., & Ratra, B. (2003) · Reviews of Modern Physics · doi:10.1103/revmodphys.75.559 · Cited by 5,213
Eisenstein, D. J., Zehavi, I., Hogg, D. W., Scoccimarro, R., Blanton, M. R., Nichol, R. C., Scranton, R., Seo, H., Tegmark, M., Zheng, Z., et al. (2005) · The Astrophysical Journal · doi:10.1086/466512 · Cited by 4,629
Riess, A. G., Strolger, L., Tonry, J., Casertano, S., Ferguson, H. C., Mobasher, B., Challis, P., Filippenko, A. V., Jha, S., Li, W., et al. (2004) · The Astrophysical Journal · doi:10.1086/383612 · Cited by 4,315
Cosmological constant—the weight of the vacuum
Padmanabhan, T. (2003) · Physics Reports · doi:10.1016/s0370-1573(03)00120-0 · Cited by 3,195
THE CASE FOR A POSITIVE COSMOLOGICAL Λ-TERM
SAHNI, V., & STAROBINSKY, A. (2000) · International Journal of Modern Physics D · doi:10.1142/s0218271800000542 · Cited by 2,767
Self-citationCarroll, S. M. (2001) · Living Reviews in Relativity · doi:10.12942/lrr-2001-1 · Cited by 2,650
Eisenstein, D. J., Zehavi, I., Hogg, D. W., Scoccimarro, R., Blanton, M. R., Nichol, R. C., Scranton, R., Seo, H., Tegmark, M., Zheng, Z., et al. (2005) · Cited by 2,568
Discovery of a supernova explosion at half the age of the Universe
Perlmutter, S., Aldering, G., Valle, M. D., Deustua, S., Ellis, R. S., Fabbro, S., Fruchter, A., Goldhaber, G., Groom, D. E., Hook, I. M., et al. (1998) · Nature · doi:10.1038/34124 · Cited by 2,544
Exploring the Expansion History of the Universe
Linder, E. V. (2003) · Physical Review Letters · doi:10.1103/physrevlett.90.091301 · Cited by 2,526
ACCELERATING UNIVERSES WITH SCALING DARK MATTER
CHEVALLIER, M., & POLARSKI, D. (2001) · International Journal of Modern Physics D · doi:10.1142/s0218271801000822 · Cited by 2,490
Astier, P., Guy, J., Regnault, N., Pain, R., Aubourg, E., Balam, D., Basa, S., Carlberg, R. G., Fabbro, S., Fouchez, D., et al. (2006) · Astronomy & Astrophysics · doi:10.1051/0004-6361:20054185 · Cited by 2,434
Cosmological Constant - the Weight of the VacuumPreprint
Padmanabhan, Τ. (2002) · Cited by 2,145
Riess, A. G., Strolger, L., Casertano, S., Ferguson, H. C., Mobasher, B., Gold, B., Challis, P. J., Filippenko, A. V., Jha, S., Li, W., et al. (2007) · The Astrophysical Journal · doi:10.1086/510378 · Cited by 1,758
Cosmological Results from High‐z Supernovae
Tonry, J. L., Schmidt, B. P., Barris, B., Candia, P., Challis, P., Clocchiatti, A., Coil, A. L., Filippenko, A. V., Garnavich, P., Hogan, C., et al. (2003) · The Astrophysical Journal · doi:10.1086/376865 · Cited by 1,741
Improved Cosmological Constraints from New, Old, and Combined Supernova Data Sets
Kowalski, M., Rubin, D., Aldering, G., Agostinho, R. J., Amadon, A., Amanullah, R., Balland, C., Barbary, K., Blanc, G., Challis, P. J., et al. (2008) · The Astrophysical Journal · doi:10.1086/589937 · Cited by 1,540
Statefinder—A new geometrical diagnostic of dark energy
Sahni, V., Saini, T. D., Starobinsky, A. A., & Alam, U. (2003) · Journal of Experimental and Theoretical Physics Letters · doi:10.1134/1.1574831 · Cited by 1,511
Self-citationKnop, R. A., Aldering, G., Amanullah, R., Astier, P., Blanc, G., Burns, M. S., Conley, A., Deustua, S. E., Doi, M., Ellis, R., et al. (2003) · The Astrophysical Journal · doi:10.1086/378560 · Cited by 1,454
Constraints on the redshift dependence of the dark energy potential
Simon, J., Verde, L., & Jimenez, R. (2005) · Physical Review D · doi:10.1103/physrevd.71.123001 · Cited by 1,322
Accelerating Universes with Scaling Dark Matter
Chevallier, M., & Polarski, D. (2001) · HAL (Le Centre pour la Communication Scientifique Directe) · Cited by 1,075
Wood‐Vasey, W. M., Miknaitis, G., Stubbs, C. W., Jha, S., Riess, A. G., Garnavich, P. M., Kirshner, R. P., Aguilera, C., Becker, A. C., Blackman, J. W., et al. (2007) · The Astrophysical Journal · doi:10.1086/518642 · Cited by 928
Exploring the expanding Universe and dark energy using the statefinder diagnostic
Alam, U., Sahni, V., Deep Saini, T., & Starobinsky, A. A. (2003) · Monthly Notices of the Royal Astronomical Society · doi:10.1046/j.1365-8711.2003.06871.x · Cited by 921
Self-citationReconstruction of a Scalar-Tensor Theory of Gravity in an Accelerating Universe
Boisseau, B., Esposito-Farèse, G., Polarski, D., & Starobinsky, A. A. (2000) · Physical Review Letters · doi:10.1103/physrevlett.85.2236 · Cited by 874
Self-citationBraneworld models of dark energy
Sahni, V., & Shtanov, Y. (2003) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2003/11/014 · Cited by 741
Self-citationSAHNI, V., & STAROBINSKY, A. (2006) · International Journal of Modern Physics D · doi:10.1142/s0218271806009704 · Cited by 734
Self-citationTHE COSMOLOGICAL CONSTANT AND THE THEORY OF ELEMENTARY PARTICLES
Zel'dovich, Y. B. (1968) · Soviet Physics Uspekhi · doi:10.1070/pu1968v011n03abeh003927 · Cited by 650
Jerk, snap and the cosmological equation of state
Visser, M. (2004) · Classical and Quantum Gravity · doi:10.1088/0264-9381/21/11/006 · Cited by 640
Quintessence arising from exponential potentials
Barreiro, T., Copeland, E. J., & Nunes, N. J. (2000) · Physical Review D · doi:10.1103/physrevd.61.127301 · Cited by 581
New cosmological model of quintessence and dark matter
Sahni, V., & Wang, L. (2000) · Physical Review D · doi:10.1103/physrevd.62.103517 · Cited by 543
Self-citationSahni, V. (2004) · Lecture Notes in Physics · doi:10.1007/978-3-540-31535-3_5 · Cited by 541
Self-citationReconstructing Dark EnergyPreprint
Varun Sahni, A., & Starobinsky, A. A. (2006) · Cited by 517
Self-citationJimenez, R., Verde, L., Treu, T., & Stern, D. (2003) · The Astrophysical Journal · doi:10.1086/376595 · Cited by 506
Is there supernova evidence for dark energy metamorphosis?
Alam, U., Sahni, V., Deep Saini, T., & Starobinsky, A. A. (2004) · Monthly Notices of the Royal Astronomical Society · doi:10.1111/j.1365-2966.2004.08189.x · Cited by 484
Self-citationProspects for probing the dark energy via supernova distance measurements
Huterer, D., & Turner, M. S. (1999) · Physical Review D · doi:10.1103/physrevd.60.081301 · Cited by 462
Barris, B. J., Tonry, J. L., Blondin, S., Challis, P., Chornock, R., Clocchiatti, A., Filippenko, A. V., Garnavich, P., Holland, S. T., Jha, S., et al. (2004) · The Astrophysical Journal · doi:10.1086/381122 · Cited by 445
WMAP constraints on low redshift evolution of dark energy
Jassal, H. K., Bagla, J. S., & Padmanabhan, T. (2005) · Monthly Notices of the Royal Astronomical Society: Letters · doi:10.1111/j.1745-3933.2005.08577.x · Cited by 400
Reconstructing the Cosmic Equation of State from Supernova Distances
Saini, T. D., Raychaudhury, S., Sahni, V., & Starobinsky, A. A. (2000) · Physical Review Letters · doi:10.1103/physrevlett.85.1162 · Cited by 395
Self-citationThe case for dynamical dark energy revisited
Alam, U., Sahni, V., & Starobinsky, A. A. (2004) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2004/06/008 · Cited by 381
Self-citationUncorrelated estimates of dark energy evolution
Huterer, D., & Cooray, A. (2005) · Physical Review D · doi:10.1103/physrevd.71.023506 · Cited by 374
Comparison of the legacy and gold type Ia supernovae dataset constraints on dark energy models
Nesseris, S., & Perivolaropoulos, L. (2005) · Physical Review D · doi:10.1103/physrevd.72.123519 · Cited by 371
Oscillating quintom and the recurrent universe
Feng, B., Li, M., Piao, Y.-S., & Zhang, X. (2006) · Physics Letters B · doi:10.1016/j.physletb.2006.01.066 · Cited by 367
Crossing the phantom divide: theoretical implications and observational status
Nesseris, S., & Perivolaropoulos, L. (2007) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2007/01/018 · Cited by 355
Sahni, V., & Krasiński, A. (2008) · General Relativity and Gravitation · doi:10.1007/s10714-008-0624-6 · Cited by 325
Self-citationHow to determine an effective potential for a variable cosmological term
Starobinsky, A. A. (1998) · Journal of Experimental and Theoretical Physics Letters · doi:10.1134/1.567941 · Cited by 302
Self-citationWang, Y., & Mukherjee, P. (2006) · The Astrophysical Journal · doi:10.1086/507091 · Cited by 298
The case for dynamical dark energy revisitedPreprint
Ujjaini Alam, A., Varun Sahni, A., & Starobinsky, A. A. (2004) · Cited by 298
Self-citationNew Dark Energy Constraints from Supernovae, Microwave Background, and Galaxy Clustering
Wang, Y., & Tegmark, M. (2004) · Physical Review Letters · doi:10.1103/physrevlett.92.241302 · Cited by 274
Jerk, snap, and the cosmological equation of statePreprint
Visser, M. (2004) · Cited by 265
(2017) · University of Pittsburgh Press eBooks · doi:10.2307/j.ctt1mtz59n.18 · Cited by 228
Dynamical vacuum energy, holographic quintom, and the reconstruction of scalar-field dark energy
Zhang, X. (2006) · Physical Review D · doi:10.1103/physrevd.74.103505 · Cited by 211
TestingΛCDMwith the growth functionδ(a): Current constraints
Nesseris, S., & Perivolaropoulos, L. (2008) · Physical Review D · doi:10.1103/physrevd.77.023504 · Cited by 211
Smoothing supernova data to reconstruct the expansion history of the Universe and its age
Shafieloo, A., Alam, U., Sahni, V., & Starobinsky, A. A. (2006) · Monthly Notices of the Royal Astronomical Society · doi:10.1111/j.1365-2966.2005.09911.x · Cited by 207
Self-citationMeasuring the equation of state of the universe: Pitfalls and prospects
Maor, I., Brustein, R., McMahon, J., & Steinhardt, P. J. (2002) · Physical Review D · doi:10.1103/physrevd.65.123003 · Cited by 203
Wang, Y., & Mukherjee, P. (2004) · The Astrophysical Journal · doi:10.1086/383196 · Cited by 194
Reconstructing holographic quintessence
Zhang, X. (2007) · Physics Letters B · doi:10.1016/j.physletb.2007.02.069 · Cited by 192
Exploring cosmological expansion parametrizations with the gold SnIa data set
Lazkoz, R., Nesseris, S., & Perivolaropoulos, L. (2005) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2005/11/010 · Cited by 189
Uncorrelated measurements of the cosmic expansion history and dark energy from supernovae
Wang, Y., & Tegmark, M. (2005) · Physical Review D · doi:10.1103/physrevd.71.103513 · Cited by 180
8 How to determine an effective potential for a variable cosmological termPreprint
Starobinsky, A. A. (1998) · Cited by 176
Self-citationThe Luminosity Distance, the Equation of State, and the Geometry of the Universe
Chiba, T., & Nakamura, T. (1998) · Progress of Theoretical Physics · doi:10.1143/ptp.100.1077 · Cited by 174
Observational Tests of World Models
Sandage, A. (1988) · Annual Review of Astronomy and Astrophysics · doi:10.1146/annurev.aa.26.090188.003021 · Cited by 148
Daly, R. A., & Djorgovski, S. G. (2004) · The Astrophysical Journal · doi:10.1086/422673 · Cited by 145
Parametrization of quintessence and its potential
Guo, Z., Ohta, N., & Zhang, Y. (2005) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.72.023504 · Cited by 143
PARAMETRIZATIONS OF THE DARK ENERGY DENSITY AND SCALAR POTENTIALS
GUO, Z.-K., OHTA, N., & ZHANG, Y.-Z. (2007) · Modern Physics Letters A · doi:10.1142/s0217732307022839 · Cited by 139
Determining the equation of state of the expanding Universe: inverse problem in cosmology
Nakamura, T., & Chiba, T. (1999) · Monthly Notices of the Royal Astronomical Society · doi:10.1046/j.1365-8711.1999.02551.x · Cited by 129
Wang, Y., & Mukherjee, P. (2003) · Sussex Research Online (University of Sussex) · Cited by 123
Shafieloo, A. (2007) · Monthly Notices of the Royal Astronomical Society · doi:10.1111/j.1365-2966.2007.12175.x · Cited by 119
Self-citationExploring the properties of dark energy using type-Ia supernovae and other datasets
Alam, U., Sahni, V., & Starobinsky, A. A. (2007) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2007/02/011 · Cited by 118
Self-citationModel-independent analysis of dark energy: supernova fitting result
Gong, Y. (2005) · Classical and Quantum Gravity · doi:10.1088/0264-9381/22/11/014 · Cited by 108
Parametrizations of the Dark Energy Density and Scalar PotentialsPreprint
Guo, Z., Ohta, N., & Zhang, Y. (2006) · Cited by 103
Probing dark energy using its density instead of its equation of state
Wang, Y., & Freese, K. (2005) · Physics Letters B · doi:10.1016/j.physletb.2005.10.083 · Cited by 97
Feasibility of reconstructing the quintessential potential using type Ia supernova data
Chiba, T., & Nakamura, T. (2000) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.62.121301 · Cited by 96
Measuring the metric: A parametrized post-Friedmannian approach to the cosmic dark energy problem
Tegmark, M. (2002) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.66.103507 · Cited by 95
Reconstruction of general scalar-field dark energy models
Tsujikawa, S. (2005) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.72.083512 · Cited by 83
Exploring the Properties of Dark Energy Using Type Ia Supernovae and Other Datasets
Alam, U., Sahni, V, & Starobinsky, A. A. (2006) · CERN Document Server (European Organization for Nuclear Research) · Cited by 83
Self-citationDetermining the Equation of State of the Expanding Universe: Inverse Problem in Cosmology
Nakamura, T., & Chiba, T. (1998) · CERN Document Server (European Organization for Nuclear Research) · Cited by 77
Lookback time as a test for brane cosmology
Pires, N., Zhu, Z., & Alcaniz, J. S. (2006) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.73.123530 · Cited by 74
OBSERVATIONAL CONSTRAINTS ON DARK ENERGY MODEL
GONG, Y. (2005) · International Journal of Modern Physics D · doi:10.1142/s0218271805006080 · Cited by 70
Shafieloo, A. (2007) · Cited by 65
Self-citationWhen did cosmic acceleration start? How fast was the transition?
Ishida, É. E. O., Reis, R. R. R., Toribio, A. V., & Waga, I. (2007) · Astroparticle Physics · doi:10.1016/j.astropartphys.2007.10.004 · Cited by 64
On the equation of state of dark energy
Polarski, D., & Ranquet, A. (2005) · Physics Letters B · doi:10.1016/j.physletb.2005.09.008 · Cited by 56
Lookback time bounds from energy conditions
Santos, J., Alcaniz, J. S., REBOUÇAS, M. J., & Pires, N. (2007) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.76.043519 · Cited by 56
Constraints on Dark Energy from Galaxy Cluster Gas Mass Fraction versus Redshift Data
Samushia, L., & Ratra, B. (2008) · The Astrophysical Journal · doi:10.1086/589744 · Cited by 54
Sen, A. A. (2006) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2006/03/010 · Cited by 51
Cosmic mimicry: is LCDM a braneworld in disguise?
Sahni, V., Shtanov, Y., & Viznyuk, A. (2005) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2005/12/005 · Cited by 46
Self-citationObservational constraints on dark energy modelPreprint
Gong, Y. (2004) · Cited by 44
Redshift sensitivities of dark energy surveys
Simpson, F., & Bridle, S. (2006) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.73.083001 · Cited by 41
Cosmic Mimicry: Is LCDM a Braneworld in Disguise ?
Sahni, V, Shtanov, Y., & Viznyuk, A. (2005) · CERN Document Server (European Organization for Nuclear Research) · Cited by 25
Self-citation
Cited by
Yu, H., Ratra, B., & Wang, F.-Y. (2018) · The Astrophysical Journal · doi:10.3847/1538-4357/aab0a2 · Cited by 319
Abdalla, E., Abellán, G. F., Aboubrahim, A., Agnello, A., Akarsu, Ö., Akrami, Y., Alestas, G., Aloni, D., Amendola, L., Anchordoqui, L. A., et al. (2022) · Journal of High Energy Astrophysics · doi:10.1016/j.jheap.2022.04.002 · Cited by 37
Self-citation
Metadata
- Authors
- Sahni, V., Shafieloo, A., & Starobinsky, A. A.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 2008-11-03
- Volume
- 78
- Issue
- 10
- ISSN
- 0556-2821 (ISSN-L)
- 1550-7998
- 1550-2368
- OpenAlex
- W2118470197
- Cited by
- 709
- References
- 92
- FWCI
- 14.93
- Type
- journal article
- Language
- en
- Open access
- green
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.