Role of Initial Data in Higher Dimensional Quasi-Spherical Gravitational Collapse

Abstract

We study the gravitational collapse in ($n+2$)-D quasi-spherical Szekeres space-time (which possess no killing vectors) with dust as the matter distribution. Instead of choosing the radial coordinate `$r$' as the initial value for the scale factor $R$, we consider a power function of $r$ as the initial scale for the radius $R$. We examine the influence of initial data on the formation of singularity in gravitational collapse.

7 Latex Pages, RevTex Style, No figures

References in corpus (5)

• Why do naked singularities form in gravitational collapse?
• Naked Singularities in Higher Dimensional Gravitational Collapse
• Quasi-Spherical Gravitational Collapse in Any Dimension
• Absence of trapped surfaces and singularities in cylindrical collapse
• Strong curvature singularities in quasispherical asymptotically de Sitter dust collapse

Cited by in corpus (2)

• Is the shell-focusing singularity of Szekeres space-time visible?
• Trapped surfaces and nature of singularities in Lyra's geometry