arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1111.1374hep-thgr-qc
收藏

5D Einstein-Einstein黑洞解的流体动力学及相应的BPS态

Hydrodynamics of a 5D Einstein-dilaton black hole solution and the corresponding BPS state

Song He, Ya-Peng Hu, Jian-Hui Zhang

摘要:

我们应用势重构方法生成一系列具有自相互作用体标量场的渐近AdS(aAdS)黑洞解.基于该方法,我们再现纯AdS解决方案作为一致性检查,我们也产生了一个简单的解析5D黑洞解。然后,我们研究这个解决方案的各个方面,如温度,熵密度和守恒电荷。在流体/引力对偶的框架下,我们进一步研究了该黑洞解的流体力学性质,如剪切粘性与熵密度的比值。在5D黑洞解的简并情形下,我们发现c函数从紫外到红外单调递减.最后,通过研究引力的玻色泛函能量和Witten-Nester能量$E_{WN}$,讨论了退化解的稳定性.我们证实了退化解是BPS畴壁解。相应的超势和杀死旋量方程的解决方案被明确地发现。

英文摘要:

We apply the potential reconstruction approach to generate a series of asymptotically AdS (aAdS) black hole solutions, with a self-interacting bulk scalar field. Based on the method, we reproduce the pure AdS solution as a consistency check and we also generate a simple analytic 5D black hole solution. We then study various aspects of this solution, such as temperature, entropy density and conserved charges. Furthermore, we study the hydrodynamics of this black hole solution in the framework of fluid/gravity duality, e.g. the ratio of the shear viscosity to the entropy density. In a degenerate case of the 5D black hole solution, we find that the c function decreases monotonically from UV to IR as expected. Finally, we investigate the stability of the degenerate solution by studying the bosonic functional energy of the gravity and the Witten-Nester energy $E_{WN}$. We confirm that the degenerate solution is a BPS domain wall solution. The corresponding superpotential and the solution of the killing spinor equation are found explicitly.

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。

↑