Slowly Rotating Black Hole Solutions to Hořava-Lifshitz Gravity

Details Slowly Rotating Black Hole Solutions to Hořava-Lifshitz Gravity Slowly Rotating Black Hole Solutions to Hořava-Lifshitz Gravity

2010-08-28

arxiv.org/abs/1008.4848v1

Phys.Rev.D82:104016,2010

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, REVTeX

Scientific paper

10.1103/PhysRevD.82.104016

We present a new stationary solution to the field equations of Ho\v{r}ava-Lifshitz gravity with the detailed balance condition and for any value of the coupling constant \lambda > 1/3 . This is the generalization of the corresponding spherically symmetric solution earlier found by L\"{u}, Mei and Pope to include a small amount of angular momentum. For the relativistic value \lambda = 1, the solution describes slowly rotating AdS type black holes. With a soft violation of the detailed balance condition and for \lambda = 1 , we also find such a generalization for the Schwarzschild type black hole solution of the theory. Finally, using the canonical Hamiltonian approach, we calculate the mass and the angular momentum of these solutions.

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