Exact solutions for gravitational collapse with a dilaton field in arbitrary dimensions

TL;DR

This paper provides exact, time-dependent solutions to Einstein's equations with a dilaton field in arbitrary dimensions, analyzing their global spacetime properties.

Contribution

It introduces new analytic solutions for gravitational collapse involving a dilaton field in arbitrary dimensions, expanding understanding of such systems.

Findings

Solutions are valid for any number of dimensions.

Global properties of the resulting spacetime are analyzed.

The solutions describe gravitational collapse scenarios.

Abstract

We present time-dependent analytic solutions to the Einstein equations coupled with a dilaton (scalar) field. The background geometry for the solutions is a product of an N-dimensional spherically symmetric space and a d-dimensional flat space. We discuss the global properties of the spacetime.