Black Holes of D=5 Supergravity

TL;DR

This paper explores the properties of five-dimensional supergravity black holes, focusing on their mechanics, rotation, and supersymmetry features, including horizon geometry and near-horizon symmetries.

Contribution

It provides new insights into the structure of rotating supersymmetric black holes in five-dimensional supergravity, especially their horizon geometry and supersymmetry characteristics.

Findings

Horizon is a non-singular, non-rotating null hypersurface.

Intersection with a Cauchy surface is a squashed 3-sphere.

Near-horizon geometry admits specific Killing spinors and supergroup.

Abstract

We discuss some general features of black holes of five-dimensional supergravity, such as the first law of black hole mechanics. We also discuss some special features of rotating supersymmetric black holes. In particular, we show that the horizon is a non-singular, and {\sl non-rotating}, null hypersurface whose intersection with a Cauchy surface is a squashed 3-sphere. We find the Killing spinors of the near-horizon geometry and thereby determine the near-horizon isometry supergroup.