Radial oscillations and stability of compact stars in Eddington-inspired Born-Infeld gravity

Sham, Y.-H.; Lin, Lap‐Ming; Leung, P. T.

doi:10.1103/physrevd.86.064015

Cited by 64 publications

(76 citation statements)

References 24 publications

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“…Using Eq. (10), the system of gravitational field equations describing the structure of a compact object is given by [22,23] …”

Section: Structure Equations For Compact Objects In Eddington-inmentioning

confidence: 99%

“…In an astrophysical context, the hydrostatic equilibrium structure of compact stars in the EiBI gravity was explored in [22], and a framework to study the radial perturbations and stability of compact stars in this theory was also developed. The standard results of stellar stability still hold in the EiBI theory, with the frequency square of the fundamental oscillation mode vanishing for the maximum-mass stellar configuration.…”

Section: Introductionmentioning

confidence: 99%

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Structure of neutron, quark, and exotic stars in Eddington-inspired Born-Infeld gravity

et al. 2013

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We consider the structure and physical properties of specific classes of neutron, quark and "exotic" stars in Eddington-inspired Born-Infeld (EiBI) gravity. The latter reduces to standard general relativity in vacuum, but presents a different behavior of the gravitational field in the presence of matter. The equilibrium equations for a spherically symmetric configuration (mass continuity and Tolman-Oppenheimer-Volkoff) are derived, and their solutions are obtained numerically for different equations of state of neutron and quark matter. More specifically, stellar models, described by the stiff fluid, radiation-like, polytropic and the bag model quark equations of state are explicitly constructed in both general relativity and EiBI gravity, thus allowing a comparison between the predictions of these two gravitational models. As a general result it turns out that for all the considered equations of state, EiBI gravity stars are more massive than their general relativistic counterparts. Furthermore, an exact solution of the spherically symmetric field equations in EiBI gravity, describing an "exotic" star, with decreasing pressure but increasing energy density, is also obtained. As a possible astrophysical application of the obtained results we suggest that stellar mass black holes, with masses in the range of 3.8M⊙ and 6M⊙, respectively, could be in fact EiBI neutron or quark stars.

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“…Using Eq. (10), the system of gravitational field equations describing the structure of a compact object is given by [22,23] …”

Section: Structure Equations For Compact Objects In Eddington-inmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Structure of neutron, quark, and exotic stars in Eddington-inspired Born-Infeld gravity

et al. 2013

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“…1-3. It should be noted from both (20) and the plots, the curvature at r = r 0 vanishes for x = 3α+3 2α+6 = 0.7 (α = 3 4 ). For 0 < x ≤ 0.7, the curvature remains negative around the throat.…”

Section: Some Special Casesmentioning

confidence: 99%

“…Various aspects of EiBI gravity have been studied by many researchers in the recent past. Spherically symmetric solutions, cosmology, and astrophysical aspects have been worked out [15][16][17][18][19][20][21][22][23][24][25].…”

Section: Introductionmentioning

confidence: 99%

Lorentzian wormholes in Eddington-inspired Born-Infeld gravity

Shaikh

2015

Phys. Rev. D

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We show that it is possible to construct a wide class of Lorentzian wormholes in Eddington-inspired Born-Infeld gravity with a stress energy which does not violate the weak or null energy condition.The wormholes exist in a certain region of the parameter space. In fact, it is shown that there is a critical value of a parameter defined in our work, below which we have wormholes. Above the critical value, we have a regular black hole spacetime. We put a restriction on the equation of state parameter α (p θ = αρ) to have wormholes. We also put a lower limit on both the theory parameter |κ| and the throat radius, to restrict the tidal acceleration (at the throat) below one Earth gravity.As a special case of our general solution, we retrieve the wormhole supported by an electric field for a charge-to-mass ratio greater than the critical value Q M c ≈ 1.144.

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“…And this method was applied to the minimal EiBI theory, and the result shows that the tensor-to-scalar ratio of perturbations is unacceptably large. Moreover, many authors have looked at various aspects of this theory [18][19][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37]. And these works show that the new features closely depend on the coupling parameter, especially on the positive κ.…”

Section: Introductionmentioning

confidence: 99%

Black hole solution and strong gravitational lensing in Eddington-inspired Born–Infeld gravity

2015

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A new theory of gravity called Eddingtoninspired Born-Infeld (EiBI) gravity was recently proposed by Bañados and Ferreira. This theory leads to some exciting new features, such as free of cosmological singularities. In this paper, we first obtain a charged EiBI black hole solution with a nonvanishing cosmological constant when the electromagnetic field is included in. Then based on it, we study the strong gravitational lensing by the asymptotic flat charged EiBI black hole. The strong deflection limit coefficients and observables are shown to closely depend on the additional coupling parameter κ in the EiBI gravity. It is found that, compared with the corresponding charged black hole in general relativity, the positive coupling parameter κ will shrink the black hole horizon and photon sphere. Moreover, the coupling parameter will decrease the angular position and relative magnitudes of the relativistic images, while increase the angular separation, which may shine new light on testing such gravity theory in near future by the astronomical instruments.

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Radial oscillations and stability of compact stars in Eddington-inspired Born-Infeld gravity

Cited by 64 publications

References 24 publications

Structure of neutron, quark, and exotic stars in Eddington-inspired Born-Infeld gravity

Structure of neutron, quark, and exotic stars in Eddington-inspired Born-Infeld gravity

Lorentzian wormholes in Eddington-inspired Born-Infeld gravity

Black hole solution and strong gravitational lensing in Eddington-inspired Born–Infeld gravity

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