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arXiv 1305.2133gr-qc
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2+1维Lifshitz黑洞的测地结构

Geodesic Structure of Lifshitz Black Holes in 2+1 Dimensions

Norman Cruz, Marco Olivares, J. R. Villanueva

摘要:

本文研究了黑洞时空的测地线方程,它是三维NMG理论的解,并且是具有$z=3$和$d=1$的渐近Lifshitz,如[Ayon-Beato E.,Garbarz A.吉里贝湾和哈森·M Phys. Rev. { \bf D} 80,104029(2009)]。通过对有质量粒子和光子的相应有效势,我们得到了能级的允许运动。径向测地线和非径向测地线的精确解用Weierstrass椭圆函数$\wp$、$σ$和$ζ$给出。

英文摘要:

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 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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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