Black Holes at Exp-time

TL;DR

This paper explores the limitations of classical general relativity in describing black hole evolution at exponentially large times, using complexity geometry and the concept of cut locus to understand potential breakdowns.

Contribution

It introduces a novel approach applying complexity geometry and the cut locus concept to analyze black hole evolution beyond classical GR.

Findings

Classical GR breaks down at exponentially large times for black holes.

Complexity geometry provides insights into the black hole evolution and potential breakdown.

The concept of cut locus is key to understanding the transition beyond classical descriptions.

Abstract

Classical GR governs the evolution of black holes for a long time, but at some exponentially large time it must break down. The breakdown, and what comes after it, is not well understood. In this paper I'll discuss the problem using concepts drawn from complexity geometry. In particular the geometric concept of cut locus plays a key role.