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On Modified Gravity · Around

2012

On Modified Gravity

Dimitrijevic, Ivan, Dragovich, Branko, Grujic, Jelena et al.

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We consider some aspects of nonlocal modified gravity, where nonlocality is of the type $R \mathcal{F}(\Box) R$.

In particular, using ansatz of the form $\Box R = c R^\gamma,$ we find a few $R(t)$ solutions for the spatially flat FLRW metric.
There are singular and nonsingular bounce solutions.
For late cosmic time, scalar curvature R(t) is in low regime and scale factor a(t) is decelerated.

Built on

T. Biswas, A. Mazumdar and W. Siegel, “Bouncing universes in string-inspired gravity, JCAP 0603
2006
Earlier work this paper cites.
I. Ya. Aref’eva, L. V. Joukovskaya, S. Yu. Vernov, “Bouncing and accelerating solutions in nonlocal stringy models”, JHEP 0707
2007
Earlier work this paper cites.
G. Calcagni, M. Montobbio, G. Nardelli, “A route to nonlocal cosmology”, Phys. Rev. D 76
Original
2007
Earlier work this paper cites.
N. Barnaby, T. Biswas, J. M. Cline, “ p p -Adic inflation”, JHEP 0704
2007
Earlier work this paper cites.

Similar

T. P. Sotiriou, V. Faraoni, “ f ⁡ ( R ) f(R) theories of gravity”, Rev. Mod. Phys. 82
Original
2010
Cited alongside, same era.
T. Biswas, T. Koivisto, A. Mazumdar, “Towards a resolution of the cosmological singularity in non-local higher derivative theories of gravity”, JCAP 1011
Original
2010
Cited alongside, same era.
G. Calcagni and G. Nardelli, “Nonlocal gravity and the diffusion equation”, Phys. Rev. D 82
Original
2010
Cited alongside, same era.
T. Clifton, P. G. Ferreira, A. Padilla, C. Skordis, “Modified gravity and cosmology”, [arXiv:1106.2476v2 [astro-ph.CO]]
Original
Cited in the paper.
L. Modesto, “ Super-renormalizable quantum gravity”, [arXiv:1107.2403v1 [hep-th]]
Original
Cited in the paper.
A. S. Koshelev, “Modified non-local gravity”, [arXiv:1112.6410v1 [hep-th]]
Original
Cited in the paper.
A. S. Koshelev and S. Yu. Vernov, “On bouncing solutions in non-local gravity”, [arXiv:1202.1289v1 [hep-th]]
Original
Cited in the paper.

Then

B. Dragovich, “Nonlocal dynamics of p p -adic strings”, Theor. Math. Phys. 164
Original
2010
Later among the works it cites.
S. Nojiri, S. D. Odintsov, “Unified cosmic history in modified gravity: from F ⁡ ( R ) F(R) theory to Lorentz non-invariant models”, Phys. Rept. 505
Original
2011
Later among the works it cites.
A. S. Koshelev and S. Yu. Vernov, Analysis of scalar perturbations in cosmological models with a non-local scalar field”, Class. Quant. Grav. 28
Original
2011
Later among the works it cites.

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