Eur. Phys. J. C (2012) 72: 1865
https://doi.org/10.1140/epjc/s10052-012-1865-9

Regular Article - Theoretical Physics

The absence of the Kerr black hole in the Hořava–Lifshitz gravity

Institute of Basic Science and School of Computer Aided Science, Inje University, Gimhae, 621-749, Korea

^* e-mail: ysmyung@inje.ac.kr

Received: 8 November 2011
Revised: 13 December 2011
Published online: 31 January 2012

Abstract

We show that the Kerr metric does not exist as a fully rotating black hole solution to modified Hořava–Lifshitz (HL) gravity with Λ _W =0 and λ=1. We do this by showing that the Kerr metric does not satisfy the full equations derived from modified HL gravity.