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Limit to general relativity inf(R)theories of gravity
Open accessAbstract
We discuss two aspects of $f(R)$ theories of gravity in metric formalism. We first study the reasons to introduce a scalar-tensor representation for these theories and the behavior of this representation in the limit to General Relativity, $f(R)\ensuremath{\rightarrow}R$. We find that the scalar-tensor representation is well behaved even in this limit. Then we work out the exact equations for spherically symmetric sources using the original $f(R)$ representation, solve the linearized equations, and compare our results with recent calculations of the literature. We observe that the linearized solutions are strongly affected by the cosmic evolution, which makes very unlikely that the cosmic speedup be due to $f(R)$ models with correcting terms relevant at low curvatures.
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Cites
Theory and Experiment in Gravitational Physics
Will, C. M. (1993) · doi:10.1017/cbo9780511564246 · Cited by 3,632
A test of general relativity using radio links with the Cassini spacecraft
Bertotti, B., Iess, L., & Tortora, P. (2003) · Nature · doi:10.1038/nature01997 · Cited by 2,017
Metadata
- Authors
- Olmo, G. J.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 2007-01-10
- Volume
- 75
- Issue
- 2
- ISSN
- 0556-2821 (ISSN-L)
- 1550-7998
- 1550-2368
- OpenAlex
- W2127621124
- Cited by
- 299
- References
- 2
- FWCI
- 15.30
- Type
- journal article
- Language
- en
- Open access
- green
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