Radiating Collapse With Vanishing Weyl Stresses

Abstract

In a recent approach in modelling a radiating relativistic star undergoing gravitational collapse the role of the Weyl stresses was emphasised. It is possible to generate a model which is physically reasonable by approximately solving the junction conditions at the boundary of the star. In this paper we demonstrate that it is possible to solve the Einstein field equations and the junction conditions exactly. This exact solution contains the Friedmann dust solution as a limiting case. We briefly consider the radiative transfer within the framework of extended irreversible thermodynamics and show that relaxational effects significantly alter the temperature profiles.

Causal temperature profiles in horizon-free collapse

“…In order to study the evolution of the temperature in the BCD model we employ the thermodynamic coefficients for radiative transfer as outlined in Ref. 9. The thermal conductivity takes the form…”

Radiating star with a time-dependent Karmarkar condition

“…In order to find exact solutions of the field equations describing dissipative collapse, various assumptions on the gravitational potentials and matter content of the gravitating body were made. These included acceleration-free collapse, Weylfree collapse, expansion-free collapse, anisotropic pressure profiles, inclusion of bulk viscosity and an equation of state [18][19][20][21]. The Santos junction conditions leads to a differential equation governing the temporal behaviour of the model.…”

Dynamics of charged bulk viscous collapsing cylindrical source with heat flux

“…With the passage of time during collapse the rapid decrease in the force of gravity may gradually result in altering the physical effects of the right hand side of Eq. (30). As is clear from the definition of α, it is inversely related to the effective inertial mass density, so as long as α increases from 1, then there would be a decrease in the inertial mass density.…”

“…In the free streaming approximation case, Tewari added some models [24][25][26] by the solution of the Einstein field equation with a different approach. A number of distinguished researchers such as Bonner et al [27], Bowers and Liang [28], de Oliveria [29], Mahraj and Govender [30], Ivanov [31] and Phinheiro and Chan [32] discussed many realistic models in the diffusion approximation with anisotropy, inhomogeneity, viscosity, and an electromagnetic field, and one also addressed the different dissipative processes analytically.…”