Classical and Quantum Gravitational Collapse in d-dim AdS Spacetime I. Classical Solutions

TL;DR

This paper explores how dimensionality and negative cosmological constant influence gravitational collapse in d-dimensional AdS spacetime, providing classical solutions and analyzing the role of self-similarity.

Contribution

It presents classical solutions for dust collapse in d-dimensional AdS spacetime and examines the impact of cosmological constant on self-similar solutions.

Findings

Self-similar solutions exist without cosmological constant.

No self-similar solutions are possible with a negative cosmological constant.

Dimensionality affects the formation of trapped surfaces.

Abstract

We study the collapse of a spherically symmetric dust distribution in $d$-dimensional AdS spacetime. We investigate the role of dimensionality, and the presence of a negative cosmological constant, in determining the formation of trapped surfaces and the end state of gravitational collapse. We obtain the self-similar solution for the case of zero cosmological constant, and show that one cannot construct a self-similar solution when a cosmological constant is included.