Rotating Black Holes in Higher Dimensions with a Cosmological Constant

TL;DR

This paper derives metrics for rotating black holes with a cosmological constant in higher dimensions, providing new solutions in Kerr-Schild and Boyer-Lindquist forms, with applications to string and M-theory.

Contribution

It introduces explicit metrics for higher-dimensional rotating black holes with a cosmological constant, including smooth Einstein spaces, expanding the set of known solutions.

Findings

Explicit metrics for higher-dimensional rotating black holes with cosmological constant.

Construction of smooth Einstein spaces on S^{D-2} bundles over S^2.

Potential applications to string theory and M-theory.

Abstract

We present the metric for a rotating black hole with a cosmological constant and with arbitrary angular momenta in all higher dimensions. The metric is given in both Kerr-Schild and Boyer-Lindquist form. In the Euclidean-signature case, we also obtain smooth compact Einstein spaces on associated S^{D-2} bundles over S^2, infinitely many for each odd D\ge 5. Applications to string theory and M-theory are indicated.