Slowly rotating black hole solutions to Horava-Lifshitz gravity

Journal Article · Mon Nov 15 00:00:00 EST 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.82.104016· OSTI ID:21503627

Aliev, Alikram N; Sentuerk, Cetin ^[1]

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1. Feza Guersey Institute, Cengelkoey, 34684 Istanbul (Turkey)

We present a new stationary solution to the field equations of Horava-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 Lue, 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.

• OSTI ID: 21503627
• Journal Information: Physical Review. D, Particles Fields, Vol. 82, Issue 10; Other Information: DOI: 10.1103/PhysRevD.82.104016; (c) 2010 American Institute of Physics; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANGULAR MOMENTUM
BALANCES
BLACK HOLES
COUPLING CONSTANTS
FIELD EQUATIONS
GRAVITATION
HAMILTONIANS
MASS
MATHEMATICAL SOLUTIONS
RELATIVISTIC RANGE
SYMMETRY
ENERGY RANGE
EQUATIONS
MATHEMATICAL OPERATORS
MEASURING INSTRUMENTS
QUANTUM OPERATORS
WEIGHT INDICATORS