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Geodesic structure of Lifshitz black holes in 2+1 dimensions

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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 et al. (Phys. Rev. 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 ℘, σ, and ζ functions.

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Acknowledgements

M.O. thanks to PUCV. This work was supported by DICYT-USACH Grant No. 041331CM (NC).

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Authors and Affiliations

  1. Departamento de Física, Facultad de Ciencia, Universidad de Santiago de Chile, Casilla 307, Santiago, Chile

    Norman Cruz

  2. Instituto de Física, Pontificia Universidad de Católica de Valparaíso, Av. Universidad 330, Curauma, Valparaíso, Chile

    Marco Olivares

  3. Departamento de Física y Astronomía, Facultad de Ciencias, Universidad de Valparaíso, Gran Bretaña 1111, Valparaíso, Chile

    J. R. Villanueva

  4. Centro de Astrofísica de Valparaíso, Gran Bretaña 1111, Playa Ancha, Valparaíso, Chile

    J. R. Villanueva

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  1. Norman Cruz
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  2. Marco Olivares
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  3. J. R. Villanueva
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Correspondence to J. R. Villanueva.

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Cruz, N., Olivares, M. & Villanueva, J.R. Geodesic structure of Lifshitz black holes in 2+1 dimensions. Eur. Phys. J. C 73, 2485 (2013). https://doi.org/10.1140/epjc/s10052-013-2485-8

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  • DOI: https://doi.org/10.1140/epjc/s10052-013-2485-8

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