Aspects of Gravitational Collapse

Here we present a study on the dynamics of plane symmetric gravitational collapse in the presence of charge. We consider both adiabatic as well as non-adiabatic flows of viscous fluid. The Einstein and Maxwell field equations are formulated for general plane symmetric space-time in the interior. Junction conditions between the interior and exterior regions are derived. For the adiabatic case, spacetime for the exterior is taken as plane Reissner-Nordstrom while for the non- adiabatic case, it is described by plane symmetric charged Vaidya spacetime. Using Misner and Sharp formalism, we obtain dynamical equations to investigate the effect of different forces over the rate of collapse. In non-adiabatic case, a dynamical equation is joined with transport equation of heat flux. Finally, a relation between the Weyl tensor and energy density is found. We also studied the final outcome of gravitational collapse resulting from the plane symmetric charged Vaidya spacetime which provides a counter example to the cosmic censorship hypothesis.

Autorentext

Aisha Siddiqa is Currently working as lecturer of mathematics in Wah Engineering College, Wah Cantt, Pakistan.She completed her M.Sc.Mathematics (Gold Medalist)and M.Phil Mathematics from University of the Punjab,Lahore under the supervision of Prof. Dr. Muhammad Sharif (Distinguished National Professor)