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ROTATING BLACK HOLES IN METRIC-AFFINE GRAVITY

Fachbereich Medien, Fachhochschule Düsseldorf, University of Applied Sciences, Josef-Gockeln-Str. 9, 40474 Düsseldorf, Germany

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and

FRIEDRICH W. HEHL

Institute for Theoretical Physics, University of Cologne, 50923 Köln, Germany

Department of Physics and Astronomy, University of Missouri-Columbia, Columbia, MO 65211, USA

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https://doi.org/10.1142/S0218271806008589Cited by:26 (Source: Crossref)

Abstract

Within the framework of metric-affine gravity (MAG, metric and an independent linear connection constitute space–time), we find, for a specific gravitational Lagrangian and by using prolongation techniques, a stationary axially symmetric exact solution of the vacuum field equations. This black hole solution embodies a Kerr–de Sitter metric and the post-Riemannian structures of torsion and nonmetricity. The solution is characterized by mass, angular momentum, and shear charge, the latter of which is a measure for violating Lorentz invariance.

Keywords:

PACS: 03.50.Kk, 04.20.Jb, 04.50.+h, 11.15.-q

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