Stellar oscillations in Eddington-inspired Born-Infeld gravity

Abstract

We consider the stellar oscillations of relativistic stars in the Eddington-inspired Born-Infeld gravity (EiBI). In order to examine the specific frequencies, we derive the perturbation equations governing the stellar oscillations in EiBI by linearizing the field equations, and numerically determine the oscillation frequencies as changing the coupling parameter in EiBI, $\kappa$, and stellar models. As a result, we find that the frequencies depend strongly on the value of $\kappa$, where the frequencies in EiBI with negative $\kappa$ become higher and those with positive $\kappa$ become lower than the expectations in general relativity. We also find that, via the observation of the fundamental frequency, one could distinguish EiBI with $8\pi {\epsilon }_0|\kappa |\gtrsim 0.03$ from general relativity, independently of the equation of state (EOS) for neutron star matter, where ${\epsilon }_0$ denotes the nuclear saturation density and ${\epsilon }_0\kappa$ become dimensionless parameter. With the further constraints on EOS, one might distinguish EiBI even with $8\pi {\epsilon }_0|\kappa |\lesssim 0.03$ from general relativity.

accepted for publication in PRD

References in corpus (6)

• Signatures of hadron-quark mixed phase in gravitational waves
• Surface singularities in Eddington-inspired Born-Infeld gravity
• Probing the Equation of State of Nuclear Matter via Neutron Star Asteroseismology
• Constraints on Neutron Star Crusts From Oscillations in Giant Flares
• Stellar Oscillations in Tensor-Vector-Scalar Theory
• Observational discrimination of Eddington-inspired Born-Infeld gravity from general relativity

Cited by in corpus (8)

• Properties of an electrically charged black hole in Eddington-inspired Born-Infeld gravity
• On the maximum mass limit of neutron stars in scalar-tensor gravity
• Bianchi type I cosmological models in Eddington-inspired Born-Infeld gravity
• Torsional oscillations of neutron stars in scalar-tensor theory of gravity
• Massive Hybrid Quark Stars with Strong Magnetic Field
• Pulse profiles from a pulsar in scalar-tensor gravity
• Sensitivity of pulsar light curves to spacetime geometry and efficacy of analytic approximations
• Born-Infeld gravity with a Brans-Dicke scalar