The DOI matches its Crossref record; 11 of the 11 references it cites were found in a registry or an index.
Jerk, snap and the cosmological equation of state
Open accessAbstract
Taylor expanding the cosmological equation of state around the current epoch is the simplest model one can consider that does not make any a priori restrictions on the nature of the cosmological fluid. Most popular cosmological models attempt to be ‘predictive’, in the sense that once some a priori equation of state is chosen the Friedmann equations are used to determine the evolution of the FRW scale factor a ( t ). In contrast, a ‘retrodictive’ approach might usefully take observational data concerning the scale factor, and use the Friedmann equations to infer an observed cosmological equation of state. In particular, the value and derivatives of the scale factor determined at the current epoch place constraints on the value and derivatives of the cosmological equation of state at the current epoch. Determining the first three Taylor coefficients of the equation of state at the current epoch requires a measurement of the deceleration, jerk and snap—the second , third and fourth derivatives of the scale factor with respect to time. Higher-order Taylor coefficients in the equation of state are related to higher-order time derivatives of the scale factor. Since the jerk and snap are rather difficult to measure, being related to the third and fourth terms in the Taylor series expansion of the Hubble law, it becomes clear why direct observational constraints on the cosmological equation of state are so relatively weak, and are likely to remain weak for the foreseeable future.
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Cites
Cosmological constant—the weight of the vacuum
Padmanabhan, T. (2003) · Physics Reports · doi:10.1016/s0370-1573(03)00120-0 · Cited by 3,195
Wormholes in spacetime and their use for interstellar travel: A tool for teaching general relativity
Morris, M. S., & Thorne, K. S. (1988) · American Journal of Physics · doi:10.1119/1.15620 · Cited by 2,939
Phantom Energy: Dark Energy with w < − 1 Causes a Cosmic Doomsday
Caldwell, R. R., Kamionkowski, M., & Weinberg, N. N. (2003) · Physical Review Letters · doi:10.1103/physrevlett.91.071301 · Cited by 2,258
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
Padmanabhan, T., & Choudhury, T. R. (2003) · Monthly Notices of the Royal Astronomical Society · doi:10.1046/j.1365-8711.2003.06873.x · Cited by 286
TWILIGHT FOR THE ENERGY CONDITIONS?
BARCELÓ, C., & VISSER, M. (2002) · International Journal of Modern Physics D · doi:10.1142/s0218271802002888 · Cited by 278
Self-citationNatural wormholes as gravitational lenses
Cramer, J. G., Forward, R. L., Morris, M. S., Visser, M., Benford, G., & Landis, G. A. (1995) · Physical Review D · doi:10.1103/physrevd.51.3117 · Cited by 271
Self-citationPrecision Cosmology? Not Just Yet . . .
Bridle, S. L., Lahav, O., Ostriker, J. P., & Steinhardt, P. J. (2003) · Science · doi:10.1126/science.1082158 · Cited by 234
The 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
Minimal conditions for the creation of a Friedman–Robertson–Walker universe from a “bounce”
Molina-París, C., & Visser, M. (1999) · Physics Letters B · doi:10.1016/s0370-2693(99)00469-4 · Cited by 160
Self-citation
Cited by
Bamba, K., Capozziello, S., Nojiri, S., & Odintsov, S. D. (2012) · Astrophysics and Space Science · doi:10.1007/s10509-012-1181-8 · Cited by 2,387
Riess, A. G., Yuan, W., Macri, L. M., Scolnic, D., Brout, D., Casertano, S., Jones, D. O., Murakami, Y., Anand, G. S., Breuval, L., et al. (2022) · The Astrophysical Journal Letters · doi:10.3847/2041-8213/ac5c5b · Cited by 2,380
Freedman, W. L., Madore, B. F., Hatt, D., Hoyt, T. J., Jang, I. S., Beaton, R. L., Burns, C. R., Lee, M. G., Monson, A. J., Neeley, J. R., et al. (2019) · The Astrophysical Journal · doi:10.3847/1538-4357/ab2f73 · Cited by 839
SAHNI, V., & STAROBINSKY, A. (2006) · International Journal of Modern Physics D · doi:10.1142/s0218271806009704 · Cited by 734
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Sahni, V., Shafieloo, A., & Starobinsky, A. A. (2008) · Physical Review D · doi:10.1103/physrevd.78.103502 · Cited by 709
Metadata
- Authors
- Visser, M.
- Venue
- Classical and Quantum Gravity
- Publisher
- IOP Publishing
- Published
- 2004-04-28
- Volume
- 21
- Issue
- 11
- Pages
- 2603-2615
- ISSN
- 0264-9381 (ISSN-L)
- 1361-6382
- OpenAlex
- W2099394020
- Cited by
- 640
- References
- 11
- FWCI
- 9.06
- Type
- journal article
- Language
- en
- Open access
- green
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