Conformal isometry of the Reissner-Nordstrom-de Sitter black hole

TL;DR

This paper demonstrates that the Reissner-Nordstrom-de Sitter black hole exhibits a discrete conformal isometry, extending previous findings to include a non-zero cosmological constant, revealing deeper symmetry properties of these solutions.

Contribution

It shows that the conformal isometry present in the extreme Reissner-Nordstrom solution also exists when a cosmological constant is included, generalizing earlier results.

Findings

Existence of conformal isometry with cosmological constant

Extension of Couch and Torrence's results

Implications for black hole symmetry properties

Abstract

It was pointed out by Couch and Torrence that the extreme Reissner-Nordstrom solution possesses a discrete conformal isometry. Using results of Romans, it is shown that such a symmetry also exists when a non-zero cosmological constant is allowed.