Coordinate independent approach to 5d black holes

TL;DR

This paper introduces a coordinate-free method to generate 5D black holes using a single symmetry parameter, classifying them based on Casimir invariants, which extends the understanding of black hole types beyond traditional solutions.

Contribution

It presents a novel coordinate-independent approach to constructing 5D black holes and classifies them using symmetry invariants, offering a new perspective on black hole solutions.

Findings

Black holes generated by a single AdS(5) symmetry parameter.

Classification scheme includes 'tachyonic' and 'light-like' black holes.

Mass and angular momenta linked to Casimir invariants.

Abstract

Five-dimensional generalization of (A)dS(5)-Kerr black hole is shown to be generated in a coordinate free way by a single AdS(5) global symmetry parameter. Its mass and angular momenta are associated to Casimir invariants of the background space-time symmetry parameter leading to the black hole classification scheme similar to that of relativistic fields resulting apart from ordinary black hole to "tachyonic" and "light-like" ones.