Radiating relativistic matter in geodesic motion

Abstract

We study the gravitational behaviour of a spherically symmetric radiating star when the fluid particles are in geodesic motion. We transform the governing equation into a simpler form which allows for a general analytic treatment. We find that Bernoulli, Riccati and confluent hypergeometric equations are possible. These admit solutions in terms of elementary functions and special functions. Particular models contain the Minkowski spacetime and the Friedmann dust spacetime as limiting cases. Our infinite family of solutions contains specific models found previously. For a particular metric we briefly investigate the physical features, derive the temperature profiles and plot the behaviour of the casual and acasual temperatures.

15 pages, to appear in J. Math. Phys

References in corpus (15)

• Spherically symmetric dissipative anisotropic fluids: A general study
• Nonadiabatic charged spherical gravitational collapse
• Transport processes in anisotropic gravitational collapse
• A causal model of radiating stellar collapse
• Anisotropic geodesic fluid spheres in general relativity
• Some analytical models of radiating collapsing spheres
• Thermal evolution of a radiating anisotropic star with shear
• Shear-free radiating collapse and conformal flatness
• Radiating Collapse with Vanishing Weyl stresses
• Nonlinear Shear-free Radiative Collapse
• A Riccati equation in radiative stellar collapse
• Gravitational collapse of an isentropic perfect fluid with a linear equation of state
• Radiating spherical collapse with heat flow
• Black hole formation in perfect fluid collapse
• Gravitational collapse of a spherical star with heat flow as a possible energy mechanism of gamma-ray bursts

Cited by in corpus (11)

• Definition of complexity for dynamical spherically symmetric dissipative self-gravitating fluid distributions
• Physical causes of energy-density inhomogenization and stability of energy-density homogeneity in relativistic self--gravitating fluids
• Quasi-homologous evolution of self-gravitating systems with vanishing complexity factor
• Collapsing shear-free perfect fluid spheres with heat flow
• Lemaitre-Tolman-Bondi dust spacetimes: Symmetry properties and some extensions to the dissipative case
• Energy Density Inhomogeneities with Polynomial $f(R)$ Cosmology
• Radiating stars with generalised Vaidya atmospheres
• Shearing radiative collapse with expansion and acceleration
• Geodesic models generated by Lie symmetries
• New shear-free relativistic models with heat flow
• Stability of Relativistic Spheres Powered by Energy Profile in Einstein Gauss-Bonnet Gravity