Covariant path integrals and black holes

TL;DR

This paper demonstrates that the thermal properties of propagators in black-hole spacetimes arise from the topology of the configuration space, using path integral methods in tortoise coordinates.

Contribution

It introduces a novel topological explanation for the thermal nature of propagators in black-hole spacetimes via path integrals.

Findings

Thermal propagator behavior is linked to topology of configuration space.

Path integral formalism reveals topological origins of black hole thermality.

Non-trivial topology in tortoise coordinates explains thermal effects.

Abstract

The thermal nature of the propagator in a collapsed black-hole spacetime is shown to follow from the non-trivial topology of the configuration space in tortoise coordinates by using the path integral formalism.