Black Hole Decay as Geodesic Motion

TL;DR

This paper presents a geometric interpretation of black hole decay as geodesic motion in mass space, using a scalar probe to analyze near-horizon conformal symmetry, and predicts a correction to decay rates.

Contribution

It introduces a novel geometric framework linking black hole decay to geodesic equations, providing new insights into decay mechanisms and corrections.

Findings

Decay described by geodesic equations in mass space

Predicts a correction term to decay rate

Links conformal symmetry to decay dynamics

Abstract

We show that a formalism for analyzing the near-horizon conformal symmetry of Schwarzschild black holes using a scalar field probe is capable of describing black hole decay. The equation governing black hole decay can be identified as the geodesic equation in the space of black hole masses. This provides a novel geometric interpretation for the decay of black holes. Moreover, this approach predicts a precise correction term to the usual expression for the decay rate of black holes.