2017
DOI: 10.1103/physrevd.96.023531
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Stability of the Einstein static universe in Eddington-inspired Born-Infeld theory

Abstract: 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 perturb… Show more

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Cited by 29 publications
(17 citation statements)
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“…Main difference to our model is the inclusion of topological transitions. Interestingly, the stability of the static Einstein universe filled with perfect fluids of different types is currently under investigations, see for instance [27]. By using a n = 3 vol(Y n ), we are able to define a scaling parameter for every Y n .…”
Section: Cosmological Constantmentioning
confidence: 99%
“…Main difference to our model is the inclusion of topological transitions. Interestingly, the stability of the static Einstein universe filled with perfect fluids of different types is currently under investigations, see for instance [27]. By using a n = 3 vol(Y n ), we are able to define a scaling parameter for every Y n .…”
Section: Cosmological Constantmentioning
confidence: 99%
“…The theory is equivalent to Einstein's GR in vacuum but differs from it within matter. Since its introduction, various aspects of EiBI gravity have been studied by many researchers in the recent past, including black holes [47,[51][52][53][54][55][56][57][58][59][60], wormholes [61][62][63][64], compact stars [65][66][67][68][69], cosmological aspects [47,[70][71][72][73][74][75][76][77][78][79][80], astrophysical aspects [81][82][83], gravitational collapse [84,85], gravitational waves [86,87], implications in nongravitational contexts like particle physics [88] etc. See [89] for a recent review on various studies in EiBI gravity.…”
Section: Introductionmentioning
confidence: 99%
“…the nonlinearity of the Born-Infeld (BI) theory [4], this particular theory resurrects the popular old-Born-Infeld gravity models [5,6]. This theory offers interesting solutions to some theoretical and cosmological problems, like the freedom from ghosts and instabilities [7], or the non-singularity of big bang and big crunch [8,9] (however, see the discussions in [10][11][12]). In nuclear astrophysics the EiBI model finds its (perhaps) most active elaboration since coupling it to the NS equation of state (EOS) enables one to obtain the observed mass of the Neutron Star (NS) while simultaneously solves the "hyperon puzzle" (see, for example, [13,14] and references therein).…”
Section: Constructed Based On the Old Proposal Of Eddington Gravitatimentioning
confidence: 93%