Stability of the Einstein static universe in IR modified Hořava gravity

Böhmer, Christian G.; Lobo, Francisco S. N.

doi:10.1140/epjc/s10052-010-1503-3

Cited by 64 publications

(51 citation statements)

References 70 publications

(34 reference statements)

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“…In GR, this was reconsidered, and it was found that the Einstein static universe can be stable against small inhomogeneous vector and tensor perturbations as well as adiabatic scalar density perturbations if the universe contains a perfect fluid with w = c 2 s > 1/5 [25,26,31]. Of course, the stability of the Einstein static universe has also been extensively studied in many modified gravities, for example, loop quantum cosmology [32], f (R) theory [33][34][35], f (T ) theory [36,37], modified Gauss-Bonnet gravity [38,39], Brans-Dicke theory [40][41][42][43], Horava-Lifshitz theory [44][45][46], massive gravity [47,48], braneworld scenario [49][50][51], Einstein-Cartan theory [52], f (R, T ) gravity [53], hybrid metric-Palatini gravity [54] and so on [55][56][57][58][59][60][61][62]. We refer to e.g.…”

Section: Introductionmentioning

confidence: 99%

Stability of the Einstein static universe in Eddington-inspired Born-Infeld theory

Hao

2017

Phys. Rev. D

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By considering the realization of the emergent universe scenario in Eddington-inspired Born-Infeld (EiBI) theory, we study the stability of the Einstein static universe filled with perfect fluid in EiBI theory against both the homogeneous and inhomogeneous scalar perturbations in this work. We find that in both the spatially flat and closed cases, the emergent universe scenario is no longer viable, since the Einstein static universe cannot be stable against both the homogeneous and inhomogeneous scalar perturbations simultaneously. However, the emergent universe scenario survives in the spatially open case, while the Einstein static universe can be stable under some conditions.

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Section: Introductionmentioning

confidence: 99%

Stability of the Einstein static universe in Eddington-inspired Born-Infeld theory

Hao

2017

Phys. Rev. D

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“…We try to remove the initial singularity problem in the standard cosmological model by studying Einstein static Universe and its stability in the non-minimal kinetic coupled gravity theory. Actually, the stability of Einstein static state has been studied in various theories: in GR with a non-constant pressure [19], in brane world scenarios [20], in Einstein-Cartan gravity [21], in loop quantum cosmology [22], in f (R) gravity [23][24][25], in GaussBonnet gravity [26], in IR modified Hořava gravity [27], in massive gravity [28], and induced matter Brane Gravity [29]. This paper is organized as follows.…”

Section: Introductionmentioning

confidence: 99%

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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“…This is a strong motivation to study the ESU models along with their stability conditions in the presence of high energy corrections of GR. For instance, one can point to the works done in the context of massive gravity [54][55][56], the Hořava-Lifshitz model of gravity [57][58][59], braneworld scenarios [60][61][62][63][64], induced matter theory [65], loop quantum cosmology [66][67][68], f (R), f (T ), and f (G) gravity [69][70][71][72][73][74][75]. As discussed at the beginning of this section, gravity's rainbow or DGR is also considered as an alternative of GR with high energy corrections.…”

Section: Introductionmentioning

confidence: 99%

On the stability of Einstein static universe in doubly general relativity scenario

et al. 2015

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By presenting a relation between the average energy of the ensemble of probe photons and the energy density of the universe, in the context of gravity's rainbow or the doubly general relativity scenario, we introduce a rainbow FRW universe model. By analyzing the fixed points in the flat FRW model modified by two well-known rainbow functions, we find that the finite time singularity avoidance (i.e. Big Bang) may still remain as a problem. Then we follow the "emergent universe" scenario in which there is no beginning of time and consequently there is no Big-Bang singularity. Moreover, we study the impact of high energy quantum gravity modifications related to the gravity's rainbow on the stability conditions of an "Einstein static universe" (ESU). We find that independent of the particular rainbow function, the positive energy condition dictates a positive spatial curvature for the universe. In fact, without raising a nonphysical energy condition in the quantum gravity regimes, we can observe agreement between gravity's rainbow scenario and the basic assumption of the modern version of the "emergent universe". We show that in the absence and presence of an energy-dependent cosmological constant ( ), a stable Einstein static solution is available versus the homogeneous and linear scalar perturbations under the variety of the obtained conditions. Also, we explore the stability of ESU against the vector and tensor perturbations.

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Stability of the Einstein static universe in IR modified Hořava gravity

Cited by 64 publications

References 70 publications

Stability of the Einstein static universe in Eddington-inspired Born-Infeld theory

Stability of the Einstein static universe in Eddington-inspired Born-Infeld theory

Einstein static Universe in non-minimal kinetic coupled gravity

On the stability of Einstein static universe in doubly general relativity scenario

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