Curing singularities: From the big bang to black holes

TL;DR

This paper explores how dilatonic extensions of Einstein's theory can eliminate singularities in black holes and the big bang, proposing models that avoid these infinities through alternative spacetime solutions.

Contribution

It demonstrates that dilaton-driven inflation and two-dimensional models can produce nonsingular black holes and cosmologies, extending Einstein's theory to resolve singularities.

Findings

Dilatonic extensions support nonsingular spacetimes.

Cosmological singularities can be avoided via dilaton-driven inflation.

Nonsingular black hole models can be constructed in two dimensions.

Abstract

Singular spacetimes are a natural prediction of Einstein's theory. Most memorable are the singular centers of black holes and the big bang. However, dilatonic extensions of Einstein's theory can support nonsingular spacetimes. The cosmological singularities can be avoided by dilaton driven inflation. Furthermore, a nonsingular black hole can be constructed in two dimensions.