Some analytical models of radiating collapsing spheres

Abstract

We present some analytical solutions to the Einstein equations, describing radiating collapsing spheres in the diffusion approximation. Solutions allow for modeling physical reasonable situations. The temperature is calculated for each solution, using a hyperbolic transport equation, which permits to exhibit the influence of relaxational effects on the dynamics of the system.

17 pages Latex

References in corpus (17)

• Spherically symmetric dissipative anisotropic fluids: A general study
• Dynamics of dissipative gravitational collapse
• Why do naked singularities form in gravitational collapse?
• A causal model of radiating stellar collapse
• Shear-free radiating collapse and conformal flatness
• Radiating Collapse with Vanishing Weyl stresses
• Why Gravitational Contraction Must be Accompanied by Emission of Radiation Both in Newtonian and Einstein Gravity
• Hyperbolic theories of dissipation: Why and when do we need them?
• Shear-free and homology conditions for self-gravitating dissipative fluids
• Relaxational effects in radiating stellar collapse
• Thermo--inertial bouncing of a relativistic collapsing sphere: A numerical model
• Measures of gravitational entropy I. Self-similar spacetimes
• Gravitational Collapse of Self-Similar and Shear-free Fluid with Heat Flow
• Evolution of the density contrast in inhomogeneous dust models
• Gravitational collapse: A case for thermal relaxation
• On the effective inertial mass density of a dissipative fluid
• A Phase Space Approach to Gravitational Enropy

Cited by in corpus (34)

• Dynamics of viscous dissipative gravitational collapse: A full causal approach
• Quasi-homologous evolution of self-gravitating systems with vanishing complexity factor
• Collapsing shear-free perfect fluid spheres with heat flow
• Equilibrium, radial stability and non-adiabatic gravitational collapse of anisotropic neutron stars
• Quasi-static evolution of axially and reflection symmetric large-scale configuration
• Radiating Shear-Free Gravitational Collapse with Charge
• Likely formation of general relativistic radiation pressure supported stars or "eternally collapsing objects"
• Collapsing Spheres Satisfying An "Euclidean Condition"
• Nonlinear Shear-free Radiative Collapse
• A Riccati equation in radiative stellar collapse
• Radiating stars with generalised Vaidya atmospheres
• Shearing radiative collapse with expansion and acceleration
• A different approach to anisotropic spherical collapse with shear and heat radiation
• All solutions for geodesic anisotropic spherical collapse with shear and heat radiation
• Radiating relativistic matter in geodesic motion
• Stability and gravitational collapse of neutron stars with realistic equations of state
• Mixed potentials in radiative stellar collapse
• Spherically Symmetric Gravitational Collapse of General Fluids
• Vaidya and generalized Vaidya solutions by gravitational decoupling
• Radiating stars with exponential Lie symmetries
• Anisotropic Durgapal-Fuloria Neutron Stars in $f(\mathcal{R},{\mathrm{T}}^2)$ Gravity
• Conformal symmetries in generalised Vaidya spacetimes
• New shear-free relativistic models with heat flow
• Generalized Vaidya spacetime: horizons, conformal symmetries, surface gravity and diagonalization
• Radiating fluid sphere immersed in an anisotropic atmosphere
• New charged shear-free relativistic models with heat flux
• Formation of regular black hole from baryonic matter
• Constructing Maximal Extensions of the Vaidya Metric in Israel Coordinates: I. Integration of the Field Equations
• On the Maximum Energy Release from Formation of Static Compact Objects
• Thermal Radiation from Compact Objects in Curved Space-Time
• Dynamics of Dissipative Gravitational Collapse in the Morris-Thorne Wormhole Metric: One Scenario -- Several Outcomes
• Matter shear and vorticity in conformally flat spacetimes
• Mass of Schwarzschild Black Holes Is Indeed Zero And Black Hole Candidates Are Quasi Black Holes
• On Shearing Fluids with Homogeneous Densities