Generating Anisotropic Collapse and Expansion Solutions of Einstein's Equations

Abstract

Analytic gravitational collapse and expansion solutions with anisotropic pressure are generated. Metric functions are found by requiring zero heat flow scalar. It emerges that a single function generates the anisotropic solutions. Each generating function contains an arbitrary function of time which can be chosen to fit various astrophysical time profiles. Two examples are provided: a bounded collapse metric and an expanding cosmological solution

to appear in Gen. Rel. Gravit

References in corpus (5)

• All static spherically symmetric anisotropic solutions of Einstein's equations
• Fate of gravitational collapse in semiclassical gravity
• Shearing Expansion-free Spherical Anisotropic Fluid Evolution
• Non-adiabatic radiative collapse of a relativistic star under different initial conditions
• Modeling usual and unusual anisotropic spheres

Cited by in corpus (11)

• Stellar models with like--Tolman IV complexity factor
• Cracking of general relativistic anisotropic polytropes
• Uncharged and charged anisotropic like--Durgapal stellar model with vanishing complexity
• Gravitational cracking and complexity in the framework of gravitational decoupling
• Effects of Electromagnetic Field on The Collapse and Expansion of Anisotropic Gravitating Source
• All static spherically symmetric anisotropic solutions for general relativistic polytropes
• Collapse and Expansion of Anisotropic Plane Symmetric Source
• Models of Collapsing and Expanding Anisotropic Gravitating Source in $f(R,T)$ Theory of Gravity
• Gravitational Cracking of General Relativistic Polytropes: a generalized scheme
• Double relativistic master polytrope for anisotropic matter
• Gravitational Collapse and Expansion of Charged Anisotropic Cylindrical Source