Dynamics of viscous dissipative plane symmetric gravitational collapse

Abstract

We present dynamical description of gravitational collapse in view of Misner and Sharp's formalism. Matter under consideration is a complicated fluid consistent with plane symmetry which we assume to undergo dissipation in the form of heat flow, radiation, shear and bulk viscosity. Junction conditions are studied for a general spacetime in the interior and Vaidya spacetime in the exterior regions. Dynamical equations are obtained and coupled with causal transport equations derived in context of Müller Israel Stewart theory. The role of dissipative quantities over collapse is investigated.

A Study of Charged Cylindrical Gravitational Collapse with Dissipative Fluid

“…It should be noted that the above energy is also very similar to Tabu's mass function in the plane symmetric spacetime [32].…”

“…Subsequently, by considering of causal transport equations related to different dissipative components (heat flow, radiation, shear, and bulk viscosity), Herrera et al [15,21,22] investigated the collapse dynamics. The same collapsing process with plane symmetric geometry or others has been examined by Sharif et al [23,24].…”

“…The third term is Coulomb-like force term and it will increase the energy of the system provided > 1/4. Further, using the Einstein field equations (17), (21), and the expression for -energy in (23), the radial derivative of the energy takes the following form:…”

Nature of singularity formed by the gravitational collapse in Husain space-time with electromagnetic field and scalar field

“…Later on Santos and collaborations (Santos 1984;Oliveira andSantos 1985, 1987), Deshkar (2000, 2003) and Cissoko et al (1998) have done meaningful work in gravitational collapse, thus extending the topic to new heights. The credit of studying gravitational collapse with a model of arbitrary shape (non-spherical) goes to Szekeres (1975) who in his model (known as Szekeres' model with perfect fluid (or dust) gave detailed solution of gravitational collapse for quasi-spherical or quasi-cylindrical symmetry of the space-time. Debnath et al (2005) explored gravitational collapse of the non-adiabatic fluid by assuming quasi-spherical Szekeres space-time in the interior and plane symmetric Vaidya solution in the exterior region.…”

Gravitational collapse of dissipative fluid as a source of gravitational waves

“…Considering casual transport equations related to different dissipative components (heat flow, radiation, shear and bulk viscosity) Herrera etal [13,19,20] studied the collapse dynamics. Recently, Sharif and Rehmat [21] has examined the same collapsing process with geometry in the form of plane symmetry.…”