SINGULARITY IN GRAVITATIONAL COLLAPSE OF PLANE SYMMETRIC CHARGED VAIDYA SPACETIME

Plane Symmetric Gravitational Collapse

In this paper, we derive the general formulation by considering two arbitrary plane symmetric spacetimes using Israel’s method. As an example, we apply this formulation to known plane symmetric spacetimes. We take the Taub’s static metric in the interior region whereas Kasner’s non-static metric in the exterior region. It is shown that the plane collapses in some cases whereas it expands in som...

Spherical and Non-spherical Gravitational Collapse in Monopole-anti-de Sitter-vaidya Spacetime

Gravitational collapse of a Hagedorn fluid in Vaidya geometry

The gravitational collapse of a high-density null charged matter fluid, satisfying the Hagedorn equation of state, is considered in the framework of the Vaidya geometry. The general solution of the gravitational field equations can be obtained in an exact parametric form. The conditions for the formation of a naked singularity, as a result of the collapse of the compact object, are also investi...

Gravitational collapse and spacetime singularities

The nature of gravitational collapse was the subject of debate and controversy for much of the last century. During the 1960’s and 1970’s our understanding of general relativity consolidated and culminated in our modern understanding of black holes and spacetime singularities. Since then, there has been significant advances in understanding the dynamics of gravitational collapse and the nature ...

Naked Singularities in the Charged Vaidya-deSitter Spacetime

We study the occurrence of naked singularities in the spherically symmetric collapse of a charged null fluid in an expanding deSitter background a piece of charged Vaidya-deSitter spacetime. The necessary conditions for the formation of a naked singularity are found. The results for the uncharged solutions can be recovered from our analysis.