Anisotropic Stars II : Stability

Abstract

We investigate the stability of self-gravitating spherically symmetric anisotropic spheres under radial perturbations. We consider both the Newtonian and the full general-relativistic perturbation treatment. In the general-relativistic case, we extend the variational formalism for spheres with isotropic pressure developed by Chandrasekhar. We find that, in general, when the tangential pressure is greater than the radial pressure, the stability of the anisotropic sphere is enhanced when compared to isotropic configurations. In particular, anisotropic spheres are found to be stable for smaller values of the adiabatic index $\gamma$.

26 pages 3 figures

Cited by in corpus (83)

• Testing the nature of dark compact objects: a status report
• Sound Speeds, Cracking and Stability of Self-Gravitating Anisotropic Compact Objects
• Gravastars must have anisotropic pressures
• How to tell a gravastar from a black hole
• Charged anisotropic matter with linear equation of state
• Black holes in galaxies: environmental impact on gravitational-wave generation and propagation
• Revisiting the mechanical properties of the nucleon
• Relativistic model for anisotropic strange stars
• Non-radial oscillations of anisotropic neutron stars in the Cowling approximation
• Radial pulsations and stability of anisotropic stars with quasi-local equation of state
• Anisotropic stars as ultracompact objects in General Relativity
• Charged anisotropic models for quark stars
• Relativistic stellar model admitting a quadratic equation of state
• Anisotropic fluid spheres of embedding class one using Karmarkar condition
• Radial stability of anisotropic strange quark stars
• Anisotropic Stars: Exact Solutions and Stability
• Compact anisotropic spheres with prescribed energy density
• Tikekar superdense stars in electric fields
• Stable and self-consistent compact star models in teleparallel gravity
• Quark star model with charged anisotropic matter
• Viable and Stable Compact Stars in $f(\mathcal{Q})$ Theory
• A charged anisotropic well-behaved Adler-Finch-Skea solution Satisfying Karmarkar Condition
• Modified Finch and Skea stellar model compatible with observational data
• Equilibrium, radial stability and non-adiabatic gravitational collapse of anisotropic neutron stars
• A new solution of embedding class I representing anisotropic fluid sphere in general relativity
• Anisotropic strange stars in the Einstein-Maxwell spacetime
• New anisotropic models from isotropic solutions
• Exact power series solutions of the structure equations of the general relativistic isotropic fluid stars with linear barotropic and polytropic equations of state
• Expansion-free Cylindrically Symmetric Models
• A generalized Finch-Skea class one static solution
• Elastic Stars in General Relativity: II. Radial perturbations
• Charged strange star in $f(R,T)$ gravity with linear equation of state
• Anisotropic Models for Globular Clusters, Galactic Bulges and Dark Halos
• Anisotropic static solutions in modelling highly compact bodies
• Effects of Electromagnetic Field on the Dynamical Instability of Cylindrical Collapse
• Exact models for isotropic matter
• Anisotropic generalization of well-known solutions describing relativistic self-gravitating fluid systems: An algorithm
• An analytical anisotropic compact stellar model of embedding class I
• The criteria of the anisotropic quark star models in Rastall gravity
• Stability of Anisotropic Cylinder with Zero Expansion
• Traversable wormholes in the traceless $f(R,T)$ gravity
• Radial stability analysis of the continuous pressure gravastar
• Anisotropic Compact Star Model Satisfying Karmarkar Conditions
• Modeling usual and unusual anisotropic spheres
• A new algorithm for anisotropic solutions
• Anisotropic Dark Matter Stars
• Relativistic Polytropic Models of Charged Anisotropic Compact Object
• Exact solution of anisotropic compact stars via. mass function
• New charged anisotropic compact models
• Anisotropic Compacts Stars on Paraboloidal Spacetime with Linear Equation of State
• Anisotropic Star on Pseudo-Spheroidal Spacetime
• Tidal deformability and radial oscillations of anisotropic polytropic spheres
• Slowly rotating anisotropic relativistic stars
• Anisotropic compact star with a linear pressure-density relationship
• On surface tension for compact stars
• Dynamics of Axial Symmetric System in Self-Interacting Brans-Dicke Gravity
• Acceptability Conditions and Relativistic Anisotropic Generalized Polytropes
• Strange star with Krori-Barua potential in presence of anisotropy
• Compact stellar model in presence of pressure anisotropy in modified Finch Skea spacetime
• Observables of spheroidal magnetized Strange Stars
• A new class of viable and exact solutions of EFE's with Karmarkar conditions: An application to cold star modeling
• A Generalized Double Chaplygin Model for Anisotropic Matter: The Newtonian Case
• Nonradial instabilities in anisotropic neutron stars
• On the Relativistic anisotropic configurations
• Stability Analysis of Axial Reflection Symmetric Spacetime
• Exact Anisotropic Solutions of the Generalized TOV Equation
• Gravitational collapse of anisotropic stars
• General relativistic effects of strong magnetic fields on the gravitational force: a driving engine for bursts of gamma rays in SGRs?
• Relativistic stellar modeling with perfect fluid core and anisotropic envelope fluid
• New charged anisotropic solution on paraboloidal spacetime
• Relativistic compact stars in the Kuchowicz spacetime
• Anisotropic Stars in the Non-minimal $Y(R)F^2$ Gravity
• Compact stars on pseudo-spheroidal spacetime compatible with observational data
• New modeling for hybrid stars with an elastic quark core
• Stability analysis of (a class of) anisotropic spacetimes
• Anisotropic Approach: Compact star as generalized Model
• An algorithm to generate anisotropic rotating fluids with vanishing viscosity
• Compact stellar model in higher torsion gravitational theory
• Compact Object with a Local Dark Energy Shell
• Dynamics of Dissipative Gravitational Collapse in the Morris-Thorne Wormhole Metric: One Scenario -- Several Outcomes
• Radiant gravitational collapse with anisotropy in pressures and bulk viscosity
• On the Stability of (M theory) Stars against Collapse : Role of Anisotropic Pressures
• General Relativistic Radiant Shock Waves in the Post-Quasistatic Approximation