Gravitational Cracking of General Relativistic Polytropes: a generalized scheme

Abstract

We discuss the effect that small fluctuations of both local anisotropy and energy density, may have on the occurrence of cracking in spherical compact objects satisfying a polytropic equation of state. A systematic scheme to bring the fluid configurations out of hydrostatic equilibrium is revisited. Various models of polytropes are considered and it is shown that departures from equilibrium may lead to the appearance of cracking for a wide range of values of the parameters involved. Prospective applications of the obtained results to some astrophysical scenarios are pointed out.

arXiv comment15 pages; 14 figures. Version published at PRD

References in corpus (64)

• A Statistical Measure of Complexity
• Sound Speeds, Cracking and Stability of Self-Gravitating Anisotropic Compact Objects
• Black Holes
• Decoupling gravitational sources in general relativity: from perfect to anisotropic fluids
• All static spherically symmetric anisotropic solutions of Einstein's equations
• Spherically symmetric dissipative anisotropic fluids: A general study
• Anisotropic solutions by gravitational decoupling
• Equation of State of a Dense and Magnetized Fermion System
• New definition of complexity for self-gravitating fluid distributions: The spherically symmetric, static case
• Structure and evolution of self-gravitating objects and the orthogonal splitting of the Riemann tensor
• Features of the Extension of a Statistical Measure of Complexity to Continuous Systems
• General relativistic polytropes for anisotropic matter: The general formalism and applications
• Stability of the isotropic pressure condition
• Study on anisotropic strange stars in $f(R,T)$ gravity: An embedding approach under simplest linear functional of matter-geometry coupling
• Conformally flat anisotropic spheres in general relativity
• Shearing Expansion-free Spherical Anisotropic Fluid Evolution
• How viscous is a superfluid neutron star core?
• Quantum Magnetic Collapse
• Relativistic stellar model admitting a quadratic equation of state
• A causal Schwarzschild-de Sitter interior solution by gravitational decoupling
• Newtonian polytropes for anisotropic matter: General framework and applications
• Conformally flat polytropes for anisotropic matter
• Anisotropic fluid spheres of embedding class one using Karmarkar condition
• General Relativistic Stars : Polytropic Equations of State
• Magnetic collapse of a neutron gas: Can magnetars indeed be formed
• Complexity and white-dwarf structure
• Anisotropic ultracompact Schwarzschild star by gravitational decoupling
• Karmarkar scalar condition
• Anisotropic geodesic fluid spheres in general relativity
• Complexity and neutron stars structure
• A Polytropic Model of Quark Stars
• Cracking of general relativistic anisotropic polytropes
• Bulk Viscosity in Hybrid Stars
• A simple method to generate exact physically acceptable anisotropic solutions in general relativity
• Bulk Viscosity in Neutron Stars from Hyperons
• Evolution of relativistic polytropes in the post--quasi--static regime
• Gravitational cracking and complexity in the framework of gravitational decoupling
• Anisotropic Pressures in Very Dense Magnetized Matter
• Bulk viscosity of strange quark matter: Urca versus non-leptonic processes
• A generalized Finch-Skea class one static solution
• Mass-radius relation for magnetized strange quark stars
• Anisotropic Models for Globular Clusters, Galactic Bulges and Dark Halos
• Local conditions separating expansion from collapse in spherically symmetric models with anisotropic pressures
• The general relativistic double polytrope for anisotropic matter
• Polytropic spheres containing regions of trapped null geodesics
• Class I polytropes for anisotropic matter
• Analytical families of 2-component anisotropic polytropes and their relativistic extensions
• The double polytrope for anisotropic matter: Newtonian Case
• Generating Anisotropic Collapse and Expansion Solutions of Einstein's Equations
• Bulk viscosity in nuclear and quark matter: A short review
• No Go Theorem for Kinematic Self-Similarity with A Polytropic Equation of State
• Separating expansion and collapse in general fluid models with heat flux
• All static spherically symmetric anisotropic solutions for general relativistic polytropes
• Dynamical instability of polytropic spheres in spacetimes with a cosmological constant
• Discovery of four white dwarfs with strong magnetic fields by the Hamburg/ESO Survey
• Acceptability Conditions and Relativistic Barotropic Equations of State
• Two Fluid Shear-Free Composites
• Radial instability of trapping polytropic spheres
• Neutrino emissivity and bulk viscosity of iso-CSL quark matter in neutron stars
• Bulk viscosity in 2SC and CFL quark matter
• Polytropic spheres modelling dark matter halos of dwarf galaxies
• Plausible families of compact objects with a Non Local Equation of State
• Relativistic Anisotropic Polytropic Spheres: Physical Acceptability
• Instabilities of Relativistic Stars

Cited by in corpus (6)

• Integration of the Lane-Emden equation for relativistic anisotropic polytropes through Gravitational Decoupling: a novel approach
• Double relativistic master polytrope for anisotropic matter
• A Generalized Double Chaplygin Model for Anisotropic Matter: The Newtonian Case
• Hyperbolic Casimir-like wormhole
• Hyperbolic polytrope
• Traversable ghost wormholes