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Towards the Einstein-Hilbert action via conformal transformation
Abstract
A conformal transformation is used to prove that a general theory with the action S=F${d}^{D}$x \ensuremath{\surd}-g [F(\ensuremath{\varphi},R)-(\ensuremath{\epsilon}/2)(\ensuremath{\nabla}\ensuremath{\varphi}${)}^{2}$], where F(\ensuremath{\varphi},R) is an arbitrary function of a scalar \ensuremath{\varphi} and a scalar curvature R, is equivalent to a system described by the Einstein-Hilbert action plus scalar fields. This equivalence is a simple extension of those in ${R}^{2}$-gravity theory and the theory with nonminimal coupling. The case of F=L(R), where L(R) is an arbitrary polynomial of R, is discussed as an example.
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Cites
A new type of isotropic cosmological models without singularity
Starobinsky, A. A. (1980) · Physics Letters B · doi:10.1016/0370-2693(80)90670-x · Cited by 7,677
A new proof of the positive energy theorem
Witten, E. (1981) · Communications in Mathematical Physics · doi:10.1007/bf01208277 · Cited by 1,595
Wald, R. M. (1983) · Physical Review D · doi:10.1103/physrevd.28.2118 · Cited by 838
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Theory of cosmological perturbations
Mukhanov, V (1992) · Physics Reports · doi:10.1016/0370-1573(92)90044-z · Cited by 3,608
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
False vacuum inflation with Einstein gravity
Copeland, E. J., Liddle, A. R., Lyth, D. H., Stewart, E. D., & Wands, D. (1994) · Physical Review D · doi:10.1103/physrevd.49.6410 · Cited by 1,077
Inflation dynamics and reheating
Bassett, B. A., Tsujikawa, S., & Wands, D. (2006) · Reviews of Modern Physics · doi:10.1103/revmodphys.78.537 · Cited by 1,020
Cosmology and Fundamental Physics with the Euclid Satellite
The Euclid Theory Working Group, Amendola, L., Appleby, S., Bacon, D., Baker, T., Baldi, M., Bartolo, N., Blanchard, A., Bonvin, C., Borgani, S., et al. (2013) · Living Reviews in Relativity · doi:10.12942/lrr-2013-6 · Cited by 899
Metadata
- Authors
- Maeda, K.-I.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 1989-05-15
- Volume
- 39
- Issue
- 10
- Pages
- 3159-3162
- ISSN
- 0556-2821 (ISSN-L)
- OpenAlex
- W2171939758
- Cited by
- 523
- References
- 3
- FWCI
- 13.72
- Type
- journal article
- Language
- en
- Open access
- closed
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- Maeda, K.-I. (1989). Towards the Einstein-Hilbert action via conformal transformation. Physical Review D. https://doi.org/10.1103/physrevd.39.3159
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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.
