Particles motion on topological Lifshitz black holes in 3+1 dimensions

Abstract

In the present paper we study the causal structure of a topological black hole presented by Mann R. B. JHEP 06, 075 (2009) by mean the standard Lagrangian procedure, which allow us analyze qualitatively the behavior of test particles using the effective potential. Then, the geodesic motion of massive and massless particles is obtained analytically. We find that confined orbits are forbidden on this spacetime, however radial photons can escape to infinity in an infinite proper time but in a finite coordinate time, this correspond to an interesting and novel result.

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References in corpus (3)

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• Scalar field perturbations of a Lifshitz black hole in conformal gravity in three dimensions
• Massive neutral particles on heterotic string theory
• About the coordinate time for photons in Lifshitz Space-times
• Gravitational Rutherford scattering and Keplerian orbits for electrically charged bodies in heterotic string theory
• Motion of particles on a $z=2$ Lifshitz black hole in 3+1 dimensions
• Null geodesics in five-dimensional Reissner-Nordström anti-de Sitter black hole
• Generalized Thermodynamic Properties of Lifshitz black holes