Einstein static universes are unstable in generic f(R) models

Seahra, Sanjeev S.; Boehmer, Christian G.

doi:10.48550/arxiv.0901.0892

Cited by 9 publications

(18 citation statements)

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“…Thus, as in Refs. [11,12,13] our results show that perturbation theory of modified theories of gravity present a richer stability/instability structure that in general relativity. Finally, it is of interest to extend our results to inhomogeneous perturbations in the spirit of Ref.…”

Section: Summary and Discussionmentioning

confidence: 64%

“…[11]. However, in a recent work, homogeneous and inhomogeneous scalar perturbations in the Einstein static solutions were analyzed [13], consequently reconciling both of the above works.…”

Section: Introductionmentioning

confidence: 74%

“…Finally, it is of interest to extend our results to inhomogeneous perturbations in the spirit of Ref. [13], and to include the canonical scalar field case. Work along these lines is presently underway.…”

Section: Summary and Discussionmentioning

confidence: 91%

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Stability of the Einstein static universe in modified Gauss-Bonnet gravity

2009

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Section: Summary and Discussionmentioning

confidence: 64%

“…[11]. However, in a recent work, homogeneous and inhomogeneous scalar perturbations in the Einstein static solutions were analyzed [13], consequently reconciling both of the above works.…”

Section: Introductionmentioning

confidence: 74%

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Stability of the Einstein static universe in modified Gauss-Bonnet gravity

2009

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“…[17]. However, in a recent work, homogeneous and inhomogeneous scalar perturbations in the Einstein static solutions were analyzed [19], consequently reconciling both of the above works. In the context of modified theories of gravity, the stability of the Einstein static universe in f (G) Gauss-Bonnet modified gravity was also analyzed [20].…”

Section: Introductionmentioning

confidence: 74%

“…Since Λ is determined by the background equations, see (19), the equations become more complicated. For the upper sign we have:…”

Section: Stability Regionsmentioning

confidence: 99%

Stability of the Einstein static universe in IR modified Hořava gravity

Böhmer

Lobo

2010

Eur. Phys. J. C

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Recently, Hořava proposed a power counting renormalizable theory for (3+1)-dimensional quantum gravity, which reduces to Einstein gravity with a non-vanishing cosmological constant in IR, but possesses improved UV behaviors. In this work, we analyze the stability of the Einstein static universe by considering linear homogeneous perturbations in the context of an IR modification of Hořava gravity, which implies a 'soft' breaking of the 'detailed balance' condition. The stability regions of the Einstein static universe is parameterized by the linear equation of state parameter w = p/ρ and the parameters appearing in the Hořava theory, and it is shown that a large class of stable solutions exists in the respective parameter space.

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Einstein static Universe in non-minimal kinetic coupled gravity

Atazadeh

Darabi

2015

Physics Letters B

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We study the stability of Einstein static Universe, with FLRW metric, by considering linear homogeneous perturbations in the kinetic coupled gravity. By taking linear homogeneous perturbations, we find that the stability of Einstein static Universe, in the kinetic coupled gravity with quadratic scalar field potential, for closed ($K=1$) isotropic and homogeneous FLRW Universe depends on the coupling parameters $\kappa$ and $\varepsilon$. Specifically, for $\kappa=L_P^2$ and $\varepsilon=1$ we find that the stability condition imposes the inequality $a_0>\sqrt{3}L_P$ on the initial size $a_0$ of the closed Einstein static Universe before the inflation. Such inequality asserts that the initial size of the Einstein static Universe must be greater than the Planck length $L_P$, in consistency with the quantum gravity and quantum cosmology requirements. In this way, we have determined the non-minimal coupling parameter $\kappa$ in the context of Einstein static Universe. Such a very small parameter is favored in the inflationary models constructed in the kinetic coupled gravity. We have also studied the stability against the vector and tensor perturbations and discussed on the acceptable values of the equation of state parameter.Comment: 7 page

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Einstein static universes are unstable in generic f(R) models

Cited by 9 publications

References 0 publications

Stability of the Einstein static universe in modified Gauss-Bonnet gravity

Stability of the Einstein static universe in modified Gauss-Bonnet gravity

Stability of the Einstein static universe in IR modified Hořava gravity

Einstein static Universe in non-minimal kinetic coupled gravity

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