Geodesic structure of Lifshitz black holes in 2+1 dimensions
- 83 Downloads
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.
KeywordsBlack Hole Event Horizon Effective Potential Black Hole Solution Massless Particle
M.O. thanks to PUCV. This work was supported by DICYT-USACH Grant No. 041331CM (NC).
- 18.M. Olivares, G. Rojas, Y. Vásquez, J.R. Villanueva, Particles motion on topological Lifshitz black holes in 3+1 dimensions. arXiv:1304.4297 (2013)