High Speed Cylindrical Gravitational Collapse with Anisotropic Pressure

Abstract

This paper focuses on the cylindrical symmetric gravitational collapse in the presence of anisotropic fluid. The high speed approximation scheme was used. In this perspective, the effect of anisotropy of pressure in fluid distribution on the collapsing process with the Equation of State (EoS) p t = λ ρ and p r = l ρ , ( l + 2 λ < - 1 ) . The effect of pressure on collapse in radial and tangential direction was observed for all values of λ and l. It is determined that, for some values of constants, i.e., λ and l, collapse results in a Naked Singularity (NS) while, for some values of constants, it does not form NS or Black Hole (BH). This study presents the effect on the collapsing process for all values of λ and l.

Keywords

• high-speed
• gravitational collapse
• anisotropic pressure