Kerr-de Sitter Black Hole Revisited

TL;DR

This paper introduces a new, simpler Kerr-de Sitter black hole solution that incorporates the effects of rotation and vacuum energy deformation, offering deeper geometric insights and potential implications for alternative theories.

Contribution

It presents a novel, geometrically richer Kerr-de Sitter solution that accounts for vacuum energy deformation near black holes, advancing understanding of rotating black holes in cosmological settings.

Findings

New exact black hole solution with warped curvature

Demonstrates impact of rotation on vacuum energy deformation

Suggests potential implications for alternative gravity theories

Abstract

We interpret the cosmological constant as the energy of the vacuum, and under a minimum amount of assumptions, we show that it is deformed in the vicinity of a black hole. This leads us to reexamine the Kerr-de Sitter solution. We provide a new solution, simpler and geometrically richer, which shows the impact of the rotation in form of a warped curvature. We carry out a detailed and exact study on the new black hole solution, and we conclude with a conjecture regarding the possible impact of our results on alternative theories.