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

Abstract

We show that the Kerr metric does not exist as a fully rotating black hole solution to the modified Hořava-Lifshitz (HL) gravity with ${\Lambda }_W=0$ and $\lambda =1$ case. We perform it by showing that the Kerr metric does not satisfy full equations derived from the modified HL gravity.

35 pages, no figures

References in corpus (13)

• Quantum Gravity at a Lifshitz Point
• Spectral Dimension of the Universe in Quantum Gravity at a Lifshitz Point
• Solutions to Horava Gravity
• Lorentz symmetry breaking as a quantum field theory regulator
• Thermodynamics of Black Holes in Horava-Lifshitz Gravity
• The Black Hole and Cosmological Solutions in IR modified Horava Gravity
• On the z=4 Horava-Lifshitz Gravity
• How do Black Holes Spin in Chern-Simons Modified Gravity?
• Dyonic solution of Horava-Lifshitz Gravity
• Energy Extraction and Particle Acceleration Around Rotating Black Hole in Horava-Lifshitz Gravity
• Does a black hole rotate in Chern-Simons modified gravity?
• Slowly rotating black holes in the Horava-Lifshitz gravity
• An extended solution space for Chern-Simons gravity: the slowly rotating Kerr black hole

Cited by in corpus (1)

• Finite Action Principle and Horava-Lifshitz Gravity: early universe, black holes and wormholes