Differentiating between modified gravity and dark energy
Open accessAbstract
The nature of the fuel that drives today's cosmic acceleration is an open and tantalizing mystery. We entertain the suggestion that the acceleration is not the manifestation of yet another new ingredient in the cosmic gas tank, but rather a signal of our first real lack of understanding of gravitational physics. By requiring that the underlying gravity theory respect Birkhoff's law, we derive the modified gravitational force law necessary to generate any given cosmology, without reference to the fundamental theory, revealing modifications of gravity at scales typically much smaller than today's horizon. We discuss how, through these modifications, the growth of density perturbations, the late-time integrated Sachs-Wolfe effect, and even solar-system measurements may be sensitive to whether today's cosmic acceleration is generated by dark energy or modified gravitational dynamics, and are subject to imminent observational discrimination. We argue how these conclusions can be more generic, and probably not dependent on the validity of Birkhoff's law.
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By measuring growth of large-scale structure and luminosity and angular distances as functions of redshift via weak lensing, large-scale structure, supernovae, and cluster counting, LSST data can reveal whether recent cosmic acceleration is due to dark energy or modified gravity.
“By simultaneously measuring the growth of large-scale structure and luminosity and angular distances as functions of redshift ( via WL, LSS, SN, and cluster counting ) , LSST data can reveal whether the recent cosmic acceleration is due to dark energy or modi fi ed gravity”
From LSST: From Science Drivers to Reference Design and Anticipated Data Products (2019) · cites this paper as Lue et al. 2004
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Giannantonio, T., Martinelli, M., Silvestri, A., & Melchiorri, A. (2010) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2010/04/030 · Cited by 85 · see citing works
Growth of structure in theories with a dynamical preferred frame
Zlosnik, T. G., Ferreira, P. G., & Starkman, G. D. (2008) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.77.084010 · Cited by 70 · see citing works
Self-citationCapozzıello, S., Cardone, V. F., Funaro, M., & Andreon, S. (2004) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.70.123501 · Cited by 70 · see citing works
Graviton mass or cosmological constant?
Gabadadze, G., & Gruzinov, A. V. (2005) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.72.124007 · Cited by 69 · see citing works
Orsi, A. A., Baugh, C. M., Lacey, C. G., Cimatti, A., Wang, Y., & Zamorani, G. (2010) · Monthly Notices of the Royal Astronomical Society · doi:10.1111/j.1365-2966.2010.16585.x · Cited by 66 · see citing works
Cosmological structure formation with clustering quintessence
Sefusatti, E., & Vernizzi, F. (2011) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2011/03/047 · Cited by 65 · see citing works
Confronting dark energy models using galaxy cluster number counts
Basilakos, S., Plionis, M., & Lima, J. A. S. (2010) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.82.083517 · Cited by 65 · see citing works
Zhan, H., Knox, L., & Tyson, J. A. (2009) · The Astrophysical Journal · doi:10.1088/0004-637x/690/1/923 · Cited by 67 · see citing works
Limits on deviations from the inverse-square law on megaparsec scales
Sealfon, C. D., Verde, L., & Jiménez, R. (2005) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.71.083004 · Cited by 62 · see citing works
Amin, M. A., Wagoner, R. V., & Blandford, R. D. (2008) · Monthly Notices of the Royal Astronomical Society · doi:10.1111/j.1365-2966.2008.13474.x · Cited by 61 · see citing works
Generalized Chaplygin gas in a modified gravity approach
Barreiro, T., & Sen, A. A. (2004) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.70.124013 · Cited by 60 · see citing works
Structure formation in modified gravity models
Koyama, K. (2006) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2006/03/017 · Cited by 59 · see citing works
Cosmological structure formation with clustering quintessencePreprint
Sefusatti, E. (2016) · Cited by 59 · see citing works
Perturbations of the self-accelerated Universe
Deffayet, C., Gabadadze, G., & Iglesias, A. (2006) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2006/08/012 · Cited by 58 · see citing works
The Aemulus Project. V. Cosmological Constraint from Small-scale Clustering of BOSS Galaxies
Zhai, Z., Tinker, J. L., Banerjee, A., DeRose, J., Guo, H., Mao, Y.-Y., McLaughlin, S., Storey-Fisher, K., & Wechsler, R. H. (2023) · The Astrophysical Journal · doi:10.3847/1538-4357/acc65b · Cited by 56 · see citing works
Skewness as a Test of the Equivalence Principle
Amendola, L., & Quercellini, C. (2004) · Physical Review Letters · doi:10.1103/physrevlett.92.181102 · Cited by 56 · see citing works
Post-Einsteinian tests of linearized gravitation
Jaekel, M.-T., & Reynaud, S. (2005) · Classical and Quantum Gravity · doi:10.1088/0264-9381/22/11/015 · Cited by 56 · see citing works
Tests of general relativity on astrophysical scales
Uzan, J. (2010) · General Relativity and Gravitation · doi:10.1007/s10714-010-1047-8 · Cited by 55 · see citing works
Testing the cosmological constant as a candidate for dark energy
Kratochvı́l, J., Linde, A. D., Linder, E. V., & Shmakova, M. (2004) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2004/07/001 · Cited by 55 · see citing works
Consistency of f(R)=R2−R02 gravity with cosmological observations in the Palatini formalism
Movahed, M. S., Baghram, S., & Rahvar, S. (2007) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.76.044008 · Cited by 54 · see citing works
Cosmological constraints on Lorentz violating dark energy
Audren, B., Blas, D., Julien Lesgourgues, A., & Sibiryakov, S. M. (2013) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2013/08/039 · Cited by 52 · see citing works
Cosmological perturbations in Palatini modified gravityPreprint
Uddin, K., Lidsey, J. E., & Tavakol, R. (2012) · Cited by 51 · see citing works
Evolution of galaxy bias, generalized
Hui, L., & Parfrey, K. (2008) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.77.043527 · Cited by 37 · see citing works
Cosmological perturbations in Palatini-modified gravity
Uddin, K., Lidsey, J. E., & Tavakol, R. (2007) · Classical and Quantum Gravity · doi:10.1088/0264-9381/24/15/012 · Cited by 50 · see citing works
GAZTAÑAGA, E., Manera, M., & Multamäki, T. (2005) · Monthly Notices of the Royal Astronomical Society · doi:10.1111/j.1365-2966.2005.09680.x · Cited by 50 · see citing works
Horizon entropy in modified gravity
Wang, P. (2005) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.72.024030 · Cited by 49 · see citing works
Dragan Huterer, A. (2023) · The Astronomy and Astrophysics Review · doi:10.1007/s00159-023-00147-4 · Cited by 48 · see citing works
Einstein’s Theory of Gravity and the Problem of Missing Mass
Ferreira, P. G., & Starkman, G. D. (2009) · Science · doi:10.1126/science.1172245 · Cited by 48 · see citing works
Self-citationOBSERVATIONAL SIGNATURES OF MODIFIED GRAVITY ON ULTRA-LARGE SCALES
Baker, T., & Bull, P. (2015) · The Astrophysical Journal · doi:10.1088/0004-637x/811/2/116 · Cited by 47 · see citing works
Scale-dependent halo bias from scale-dependent growth
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Scalar gravitational radiation from binaries: Vainshtein mechanism in time-dependent systems
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Magnification-temperature correlation: The dark side of integrated Sachs-Wolfe measurements
Loverde, M., Hui, L., & GAZTAÑAGA, E. (2007) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.75.043519 · Cited by 45 · see citing works
Ghost-free braneworld bigravity
Padilla, A. (2004) · Classical and Quantum Gravity · doi:10.1088/0264-9381/21/12/008 · Cited by 46 · see citing works
Reconstructing f(R) theory from Ricci dark energy
Feng, C.-J. (2009) · Physics Letters B · doi:10.1016/j.physletb.2009.04.089 · Cited by 43 · see citing works
Weak lensing predictions for modified gravities at non-linear scales
Beynon, E., Bacon, D., & Koyama, K. (2010) · Monthly Notices of the Royal Astronomical Society · doi:10.1111/j.1365-2966.2009.16117.x · Cited by 43 · see citing works
Spherical collapse in modified gravity with the Birkhoff theorem
Schäfer, B. M., & Koyama, K. (2008) · Monthly Notices of the Royal Astronomical Society · doi:10.1111/j.1365-2966.2008.12841.x · Cited by 43 · see citing works
Large-scale structure in brane-induced gravity. I. Perturbation theory
Scoccimarro, R. (2009) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.80.104006 · Cited by 43 · see citing works
Self-citationICTP Lectures on Large Extra DimensionsPreprint
Gabadadze, G. (2003) · arXiv (Cornell University) · doi:10.48550/arxiv.hep-ph/0308112 · Cited by 42 · see citing works
Accelerating universe in f ( R ) brane gravity
Atazadeh, K., Farhoudi, M., & Sepangi, H. R. (2008) · Physics Letters B · doi:10.1016/j.physletb.2007.12.057 · Cited by 38 · see citing works
CLASH-VLT: testing the nature of gravity with galaxy cluster mass profiles
Pizzuti, L., Sartoris, B., Borgani, S., Amendola, L., Umetsu, K., Biviano, A., Girardi, M., Rosati, P., Balestra, I., Caminha, G. B., et al. (2016) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2016/04/023 · Cited by 37 · see citing works
- Authors
- Lue, A., Scoccimarro, R., & Starkman, G.
- Affiliations
- Case Western Reserve University (US)
- New York University (US)
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 2004-02-06
- Volume
- 69
- Issue
- 4
- ISSN
- 0556-2821 (ISSN-L)
- 1550-7998
- 1550-2368
- OpenAlex
- W2043172975
- Cited by
- 210
- References
- 40
- Citations by year
- 2026: 2 · 2025: 3 · 2024: 6 · 2023: 6 · 2022: 1 · 2021: 2 · 2020: 2 · 2019: 6 · 2018: 6 · 2017: 2 · 2016: 7 · 2015: 4 · 2014: 3 · 2013: 6 · 2012: 9
- FWCI
- 16.01
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- arXiv (Cornell University)
- Funders
- U.S. Department of Energy
- Case Western Reserve University
- Topics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Cosmology and Gravitation Theories
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Dark Matter and Cosmic Phenomena
- Keywords
- modified gravity, dark energy, cosmic acceleration, Birkhoff's theorem, cosmological perturbations, integrated Sachs-Wolfe effect, solar system tests of gravity
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