Gravitational Perfect Fluid Collapse With Cosmological Constant

TL;DR

This paper investigates how a positive cosmological constant influences the gravitational collapse of perfect fluid spheres, showing it slows collapse and limits black hole size, extending previous dust case results.

Contribution

It generalizes the dust collapse model to include perfect fluid with a cosmological constant, analyzing horizon formation and collapse dynamics.

Findings

Cosmological constant slows down matter collapse.

Limits the size of resulting black holes.

Recovers dust case results when pressure is zero.

Abstract

In this paper, the effect of a positive cosmological constant on spherically symmetric collapse with perfect fluid has been investigated. The matching conditions between static exterior and non-static interior spacetimes are given in the presence of a cosmological constant. We also study the apparent horizons and their physical significance. It is concluded that the cosmological constant slows down the collapse of matter and hence limit the size of the black hole. This analysis gives the generalization of the dust case to the perfect fluid. We recover the results of the dust case for $p=0$.