Higher dimensional collapsing and expanding models of anisotropic source

Abstract

This paper aims to formulate exact solutions of anisotropic gravitating source with the cosmological constant in (n+2) dimensional spacetime, which may lead to collapse or expansion. We have considered the expansion scalar to be negative and positive to achieve the collapsing and expansion scenario. These assumptions enabled us to investigate the range of a particular parameter for which the expansion scalar becomes negative and positive. Further, we used the definition of mass function and found the condition for the trapped surface. The plots of pressures, anisotropy parameter, and energy density for both collapse and expansion are also presented.