Geodesic structure of Lifshitz black holes in 2+1 dimensions

被引：17

作者：

Cruz, Norman ^{[1
]}

Olivares, Marco ^{[2
]}

Villanueva, J. R. ^{[3
,4
]}

机构：

[1] Univ Santiago Chile, Fac Ciencia, Dept Fis, Santiago, Chile

[2] Pontificia Univ Catolica Valparaiso, Inst Fis, Valparaiso, Chile

[3] Univ Valparaiso, Dept Fis & Astron, Fac Ciencias, Valparaiso, Chile

[4] Ctr Astrofis Valparaiso, Valparaiso, Chile

来源：

EUROPEAN PHYSICAL JOURNAL C | 2013年 / 73卷 / 07期

关键词：

Black Hole; Event Horizon; Effective Potential; Black Hole Solution; Massless Particle;

D O I：

10.1140/epjc/s10052-013-2485-8

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

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 rho, sigma, and zeta functions.

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页码：1 / 7

页数：7

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