A new look at hidden conformal symmetries of black holes

TL;DR

This paper introduces a novel method for identifying hidden conformal symmetries in the near-horizon region of spherically symmetric black holes by solving the conformal Killing equation, aligning with previous wave equation analyses.

Contribution

It presents a new approach to uncover hidden symmetries in black hole horizons through conformal Killing equations, offering an alternative to wave equation methods.

Findings

Generators of hidden symmetries are obtained analytically.

Results agree with previous wave equation analyses.

Method applicable to spherically symmetric black holes.

Abstract

We propose a different approach to the analysis of symmetries in the near-horizon region of black holes. The idea is presented here for spherically symmetric black holes, for which we have shown that the generators of hidden symmetries can be extracted by solving the conformal Killing equation under certain assumptions. Our result is in agreement with that obtained in literature by the analysis of the wave equation in the near-horizon region.