Particle motion in Horava-Lifshitz black hole space-times

Details Particle motion in Horava-Lifshitz black hole space-times Particle motion in Horava-Lifshitz black hole space-times

2011-06-24

arxiv.org/abs/1106.4913v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

16 pages including 13 figures; minor changes, to match version accepted for publication in Phys. Rev. D

Scientific paper

We study the particle motion in the space-time of a Kehagias-Sfetsos (KS) black hole. This is a static spherically symmetric solution of a Horava-Lifshitz gravity model that reduces to General Relativity in the IR limit and deviates slightly from detailed balance. Taking the viewpoint that the model is essentially a (3+1)-dimensional modification of General Relativity we use the geodesic equation to determine the motion of massive and massless particles. We solve the geodesic equation exactly by using numerical techniques. We find that neither massless nor massive particles with non-vanishing angular momentum can reach the singularity at r=0. Next to bound and escape orbits that are also present in the Schwarzschild space-time we find that new types of orbits exist: manyworld bound orbits as well as two-world escape orbits. We also discuss observables such as the perihelion shift and the light deflection.

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