Gravastars with Kuchowicz metric potential

Abstract

In the present article we are going to study different features of a Gravitationally Vacuum Condensate Star, i.e., Gravastar with the help of the Kuchowicz metric potential [B. Kuchowicz, Acta. Phys. Pol. 33, 541 (1968)] in (3+1) dimensional spacetime. The gravastar consists of three regions namely the interior, intermediate thin shell and the exterior. Our main objective is to study the non-singular solutions of the system considered here. Also we want to study different features of the shell region, composed of ultra relativistic plasma obeying Zel’dovich’s conjecture of stiff fluid, like the energy, proper length, entropy and surface redshift which will confirm the stability of our model. Using the Kuchowicz metric potential we have found another metric potential (i.e. eλ) for the interior and shell region which is non-singular in its nature for both of the region. The exterior of the gravastar has been described as the Schwarzschild type. We have found the numerical values of different constants imposing the boundary conditions. This theoretical model of gravastar can completely overcome the singularity problem related to black holes and hence can be taken as a promising alternative to the classical black hole within the framework of Einstein’s General Relativity. Keywords: General relativity, Gravastar, Kuchowicz metric potential