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arXiv · 1305.2133

Geodesic Structure of Lifshitz Black Holes in 2+1 Dimensions

Norman Cruz·Marco Olivares·J. R. Villanueva
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Abstract

We present a study of the geodesic equations of a black hole space-time which is a solution of the three-dimensional NMG theory and is asymptotically Lifshitz with $z=3$ and $d=1$ as found in [Ayon-Beato E., Garbarz A., Giribet G. and Hassaine M., Phys. Rev. {\bf D} 80, 104029 (2009)]. By means of the corresponding effective potentials for massive particles and photons we find the allowed motions by the energy levels. Exact solutions for radial and non-radial geodesics are given in terms of the Weierstrass elliptic $\wp$, $σ$, and $ζ$ functions.

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Norman Cruz, Marco Olivares, J. R. Villanueva. 2013-07-01. Geodesic Structure of Lifshitz Black Holes in 2+1 Dimensions. https://doi.org/10.1140/epjc%2Fs10052-013-2485-8

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