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

Li, Shou-Long; Hao, Wei

doi:10.1103/physrevd.96.023531

Cited by 27 publications

(16 citation statements)

References 114 publications

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“…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%

Wormholes with nonexotic matter in Born-Infeld gravity

Shaikh

2018

Phys. Rev. D

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We show that, in contrast to general relativity, in Eddington-inspired Born-Infeld gravity (EiBI), a violation of the null convergence condition does not necessarily lead to a violation of the null energy condition, by establishing a relationship between them. This serves as a motivation for finding wormhole solutions which can be supported by nonexotic matter in this gravity theory. We then obtain exact solutions of the field equations in EiBI gravity coupled to arbitrary nonlinear electrodynamics and anisotropic fluids. Depending on the signs and values of different parameters, the general solutions can represent both black holes and wormholes. In this work, we analyze the wormhole solutions. These wormholes are supported by nonexotic matter, i.e., matter satisfying all the energy conditions. As special cases of our general solutions, we work out several specific examples by considering Maxwell, power-law, Born-Infeld electrodynamics models and a particular form of an anisotropic fluid. * rajibul.shaikh@tifr.res.in

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Section: Introductionmentioning

confidence: 99%

Wormholes with nonexotic matter in Born-Infeld gravity

Shaikh

2018

Phys. Rev. D

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“…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%

Charged black holes in higher-dimensional Eddington-inspired Born-Infeld gravity

Jayawiguna

Ramadhan

2019

Nuclear Physics B

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We study static (electrically)-charged solutions of Eddington-inspired Born-Infeld (EiBI) theory of gravity in general D-dimensional spacetime. We consider both linear (Maxwell) as well as nonlinear electrodynamics for the matter fields. In this particular work, the nonlinear theory we specifically consider is the Born-Infeld (BI) electrodynamics. The solutions describe higherdimensional black holes in EiBI gravity. For the linear Maxwell field, we show that the electric field is still singular for D > 4. This singularity is cured when EiBI is coupled to the BI electrodynamics. We obtain EiBI-BI black hole solutions in the limit ofα ≡ 4κb 2 /λ = 1 and 2. We also investigate their thermodynamical property. We show that all solutions satisfy the first-law of black hole thermodynamics, from which their corresponding ADM mass can be extracted. It is found that κ imposes a charge screening that makes the corresponding Hawking temperature experiences some sudden jump from charged-type to the Schwarzschild-type at some critical value of κ. Thermodynamical stability reveals that the EiBI-BI black holes can exist with smaller horizon than their Reissner-Nordstrom (RN) counterparts. * Electronic address: byon.nugraha@ui.ac.id † Electronic address: hramad@ui.ac.id arXiv:1810.08780v4 [gr-qc] 5 Apr 2019Black hole has been an intriguing phenomenon in gravitational physics that fascinates both theoretical physicists as well as astronomers. In General Relativity (GR), the theoretical existence of black holes is inevitable. Observationally, the recent detection of gravitational waves is a solid proof that such object does exist physically [1].Although as a modern cosmological framework general relativity is very successful, several large-scale or strong-field regime phenomena (such as the accelerated expansion of the universe, the big bang singularity, etc) demands a more satisfactory explanation. This is the main reason behind the vast modern literature on modified-gravitational theories beyond GR. Among many excellent alternative theory of gravity, the Eddington-inspired Born-Infeld (EiBI) theory proposed by Banados and Ferreira recently enjoys widespread attention [2]. Constructed based on the old proposal of Eddington gravitational action [3] combined withthe 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). For a comprehensive review on EiBI gravity, see [15].Despite the extensive investigation on the astroph...

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“…Gauss-Bonnet gravity [69,70], Brans-Dicke theory [71][72][73][74][75], Horava-Lifshitz theory [76][77][78], brane world scenario [79][80][81], Einstein-Cartan theory [82], f (R, T ) gravity [83], Eddingtonginspired Born-Infeld theory [84], Horndeski theory [85,86], hybrid metric-Palatini gravity [87] and so on [88][89][90][91][92][93][94][95][96][97][98]. We refer to e.g.…”

Section: Stabilitiesmentioning

confidence: 99%

Emergent universe scenario, bouncing universes, and cyclic universes in degenerate massive gravity

Lü

Hao

et al. 2019

Phys. Rev. D

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We consider alternative inflationary cosmologies in massive gravity with degenerate reference metrics and study the feasibilities of the emergent universe scenario, bouncing universes, and cyclic universes. We focus on the construction of the Einstein static universe, classes of exact solutions of bouncing universes, and cyclic universes in degenerate massive gravity. We further study the stabilities of the Einstein static universe against both homogeneous and inhomogeneous scalar perturbations and give the parameters region for a stable Einstein static universe. sllee

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

Cited by 27 publications

References 114 publications

Wormholes with nonexotic matter in Born-Infeld gravity

Wormholes with nonexotic matter in Born-Infeld gravity

Charged black holes in higher-dimensional Eddington-inspired Born-Infeld gravity

Emergent universe scenario, bouncing universes, and cyclic universes in degenerate massive gravity

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