TITLE:
Dissipative Spherical Gravitational Collapse of Isotropic Fluid
AUTHORS:
B. C. Tewari, Kali Charan
KEYWORDS:
Exact Solutions, Radiating Star, Gravitational Collapse, Black Hole
JOURNAL NAME:
Journal of Modern Physics,
Vol.6 No.4,
March
25,
2015
ABSTRACT: We present a number of parametric class of exact solutions of a radiating
star and the matching conditions required for the description of physically
meaningful fluid. A number of previously known class of solutions have been
rediscovered which describe well behaved nature of fluid distributions. The
interior matter fluid is shear-free spherically symmetric isotropic and
undergoing radial heat flow. The interior metric obeyed all the relevant
physical and thermodynamic conditions and matched with Vaidya exterior metric
over the boundary. Initially the interior solutions represent a static
configuration of perfect fluid which then gradually starts evolving into
radiating collapse. The apparent luminosity as observed by the distant observer
at rest at infinity and the effective surface temperature are zero in remote
past at the instant when collapse begins and at the stage when collapsing
configuration reaches the horizon of the black hole.