arXiv subjects

Sanjay Sarwe

Publications and source records attributed to Sanjay Sarwe.

3 recordsLinked to original sources

arXiv2015

Role of Equation of State in formation of Black hole

We study the physical process of gravitational collapse of a perfect fluid with a linear isentropic equation of state $p = k ρ, \ -1/3 < k \leq 1$. We consider a model with ansatz $v'(t,r)/v(t,r) = ξ'(r)$ that give rise to a family of solutions to Einstein equations with equation of state. The solution so obtained lead to homogeneous collapse that evolves from a regular initial data and the positivity of energy conditions. The collapse terminates in the formation of black hole. We show that as the parameter $k \rightarrow 1$, the formation of black hole gets accelerated in time, revealing the significance of equation of state in black hole formation.

gr-qc↗

arXiv2015

Gravitational collapse with equation of state

We investigate here gravitational collapse of a perfect fluid with a linear isentropic equation of state $p = k ρ$. A class of collapse models is given which is a family of solutions to Einstein equations and the final fate of collapse is analyzed in terms of the formation of black holes and naked singularities. The collapse evolves from a regular initial data and the positivity of energy conditions and other physical regularity conditions are satisfied. As we provided here an explicit class, this gives useful insights into the endstates of collapse with a physically reasonable and relevant equation of state and for the cosmic censorship hypothesis.

gr-qc↗

arXiv2014

Stability Analysis in N dimensional Gravitational collapse with equation of state

We study stability of occurrence of black holes and naked singularities that arise as a final state for a complete gravitational collapse of type I matter field in a spherically symmetric $N$ dimensional spacetime with equation of state $p = k ρ$, $0 \leq k \leq 1$. We prove that for a regular initial data comprising of pressure (or density) profiles at an initial surface $t = t_{i}$, from which the collapse evolves, there exists a large class of the velocity functions and classes of solutions of Einstein equations, such that the spacetime evolution goes to a final state which is either a black hole or a naked singularity. We further prove that in an infinite dimensional separable Banach space, the set of regular initial data leading the collapse to a black hole or a naked singularity, forms an open subset of the set of all regular initial data. In this sense, the gravitational collapse leading to either a black hole or a naked singularity is stable. These results are discussed and analyzed in the light of the cosmic censorship hypothesis in black hole physics.

gr-qc↗