Slowly Rotating Black Hole Solutions to Hořava-Lifshitz Gravity
arXiv:1008.4848 · doi:10.1103/PhysRevD.82.104016
Abstract
We present a new stationary solution to the field equations of Hořava-Lifshitz gravity with the detailed balance condition and for any value of the coupling constant λ> 1/3 . This is the generalization of the corresponding spherically symmetric solution earlier found by Lü, Mei and Pope to include a small amount of angular momentum. For the relativistic value λ= 1, the solution describes slowly rotating AdS type black holes. With a soft violation of the detailed balance condition and for λ= 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.
15 pages, REVTeX
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