Radial oscillations of relativistic stars

Kokkotas, Kostas D.; Ruoff, Johannes

doi:10.1051/0004-6361:20000216

Cited by 152 publications

(212 citation statements)

References 24 publications

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“…For instance, both numerical schemes employed by Kokkotas and Ruoff [9] (based on the shooting method and the Numerov method) are very easily modified to allow for elasticity. Moreover, we established that the mass-radius curve, under certain conditions, can be used to assess stability without having to calculate a single frequency.…”

Section: Conclusion/discussionmentioning

confidence: 99%

Elastic stars in general relativity: II. Radial perturbations

Karlovini

Samuelsson

Zarroug³

2004

Class. Quantum Grav.

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We study radial perturbations of general relativistic stars with elastic matter sources. We find that these perturbations are governed by a second order differential equation which, along with the boundary conditions, defines a Sturm-Liouville type problem that determines the eigenfrequencies. Although some complications arise compared to the perfect fluid case, leading us to consider a generalisation of the standard form of the Sturm-Liouville equation, the main results of Sturm-Liouville theory remain unaltered. As an important consequence we conclude that the mass-radius curve for a one-parameter sequence of regular equilibrium models belonging to some particular equation of state can be used in the same well-known way as in the perfect fluid case, at least if the energy density and the tangential pressure of the background solutions are continuous. In particular we find that the fundamental mode frequency has a zero for the maximum mass stars of the models with solid crusts considered in Paper I of this series.

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Section: Conclusion/discussionmentioning

confidence: 99%

Elastic stars in general relativity: II. Radial perturbations

Karlovini

Samuelsson

Zarroug³

2004

Class. Quantum Grav.

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“…The corresponding study in GR was first performed by Chandrasekhar almost fifty years ago [9] (see also Ref. [10] for a more recent study).…”

Section: A Equations For Radial Perturbationsmentioning

confidence: 99%

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

2012

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We study the hydrostatic equilibrium structure of compact stars in the Eddington-inspired BornInfeld gravity recently proposed by Bañados and Ferreira [Phys. Rev. Lett. 105, 011101 (2010)]. We also develop a framework to study the radial perturbations and stability of compact stars in this theory. We find that the standard results of stellar stability still hold in this theory. The frequency square of the fundamental oscillation mode vanishes for the maximum-mass stellar configuration. The dependence of the oscillation mode frequencies on the coupling parameter κ of the theory is also investigated. We find that the fundamental mode is insensitive to the value of κ, while higher-order modes depend more strongly on κ.

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“…They give information about the stability of a stellar model. Recently such studies have been carried out for many existing neutron star EOS [32]. Sharma et al [25] made a stability analysis of Eqn.…”

Section: Radial Oscillations Of a Relativistic Starmentioning

confidence: 99%

Stability of Strange Stars (Ss) Derived From a Realistic Equation of State

Sinha

Dey

et al. 2002

Mod. Phys. Lett. A

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A realistic EOS (equation of state) leads to strange stars (ReSS) which are compact in the mass radius plot, close to the Schwarzchild limiting line [1]. Many of the observed stars fit in with this kind of compactness, irrespective of whether they are X-ray pulsars, bursters or soft γ repeaters or even radio pulsars. We point out that a change in the radius of a star can be small or large, when its mass is increasing and this depends on the position of a particular star on the mass radius curve. We carry out a stability analysis against radial oscillations and compare with the EOS of other SS models. We find that the ReSS is stable and an M-R region can be identified to that effect.

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Radial oscillations of relativistic stars

Cited by 152 publications

References 24 publications

Elastic stars in general relativity: II. Radial perturbations

Elastic stars in general relativity: II. Radial perturbations

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

Stability of Strange Stars (Ss) Derived From a Realistic Equation of State

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