The DOI matches its Crossref record; 23 of the 23 references it cites were found in a registry or an index.
The stability of general relativistic cosmological theory
Abstract
The authors analyse the behaviour of homogeneous and isotropic solutions to a gravity theory that arises from the variation of an arbitrary analytic function of the space-time scalar curvature. Such a theory generalises Einstein's general relativity wherein this function is linear in the curvature. They prove conditions for the existence and stability of the general relativistic de Sitter and Friedmann solutions within the general theory, prove necessary and sufficient conditions for the existence of cosmological singularities and particle horizons and analyse the asymptotic behaviour of ever-expanding Universe models. The conditions under which Minkowski space-time and Schwarzschild space-time are stable is investigated and their instability, together with the pathological behaviour of certain cosmological models, traced back to the non-minimality of the stationary action giving rise to the field equations. The significance of these results for quantum theories of gravity and the 'inflationary' model of the early Universe is discussed.
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Citations
Cites
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Cited by
Sotiriou, T. P., & Faraoni, V. (2010) · Reviews of Modern Physics · doi:10.1103/revmodphys.82.451 · Cited by 4,519
Capozziello, S., & De Laurentis, M. (2011) · Physics Reports · doi:10.1016/j.physrep.2011.09.003 · Cited by 3,321
Harko, T., Lobo, F. S. N., Nojiri, S., & Odintsov, S. D. (2011) · Physical Review D · doi:10.1103/physrevd.84.024020 · Cited by 2,772
Is cosmic speed-up due to new gravitational physics?
Carroll, S. M., Duvvuri, V., Trodden, M., & Turner, M. S. (2004) · Physical Review D · doi:10.1103/physrevd.70.043528 · Cited by 2,269
CAPOZZIELLO, S. (2002) · International Journal of Modern Physics D · doi:10.1142/s0218271802002025 · Cited by 1,375
Metadata
- Authors
- Barrow, J. D., & Ottewill, A. C.
- Venue
- Journal of Physics A: Mathematical and General
- Publisher
- IOP Publishing
- Published
- 1983-08-21
- Volume
- 16
- Issue
- 12
- Pages
- 2757-2776
- ISSN
- 0305-4470 (ISSN-L)
- 1361-6447
- OpenAlex
- W2059748433
- Cited by
- 607
- References
- 23
- FWCI
- 3.39
- Type
- journal article
- Language
- en
- Open access
- closed
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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.
