Thermal Behaviour of Euclidean Stars

Abstract

A recent study of dissipative collapse considered a contracting sphere in which the areal and proper radii are equal throughout its evolution. The interior spacetime was matched to the exterior Vaidya spacetime which generated a temporal evolution equation at the boundary of the collapsing sphere. We present a solution of the boundary condition which allows the study of the gravitational and thermodynamical behaviour of this particular radiating model.

10 pages, 3 figures

References in corpus (4)

• A causal model of radiating stellar collapse
• Thermal evolution of a radiating anisotropic star with shear
• Relaxational effects in radiating stellar collapse
• A Riccati equation in radiative stellar collapse

Cited by in corpus (12)

• Shearing radiative collapse with expansion and acceleration
• A different approach to anisotropic spherical collapse with shear and heat radiation
• Geodesic models generated by Lie symmetries
• Generalized Euclidean stars with equation of state
• The role of shear in dissipative gravitational collapse
• Radiating stars with exponential Lie symmetries
• Self-gravitating spheres of anisotropic fluid in geodesic flow
• Riccati equations for bounded radiating systems
• A new class of viable and exact solutions of EFE's with Karmarkar conditions: An application to cold star modeling
• Gravitational collapse for a radiating anisotropic fluid
• On Properties of Expansion-free Dynamical Stars
• Non-existence of expansion-free dynamical stars with rotation and spatial twist