Membrane paradigm in Gauss-Bonnet gravity
Received date: 2015-11-10
Online published: 2017-01-13
对于一个黑洞视界外部的观察者来说, 黑洞视界表面的动力学性质与一个流体膜的表现非常相似. 本文将膜范式推广到了 Gauss-Bonnet 引力, 推导了视界表面的应力张量, 计算了流体的输运系数, 最后计算了 Gauss-Bonnet 引力在具体度规下的流体输运系数的修正. 期望在其他的修正引力中黑洞视界有着同样的流体性质.
关键词: 引力/流体对偶; 黑洞热力学; Gauss-Bonnet引力
赵天义 . Gauss-Bonnet引力中黑洞的膜范式[J]. 华东师范大学学报(自然科学版), 2017 , 2017(1) : 64 -70 . DOI: 10.3969/j.issn.1000-5641.2017.01.008
To an outside observer, a black hole’s event horizon behavesexactly like a dynamical fluid membrane. We extend this membrane paradigm to black holes in Gauss-Bonnet modified theories of gravity. We derive the stress tensor and various transport coefficients of the fluid and evaluate the transport coefficients for a static geometry. We reckon on what theories of gravity admit horizon with fluid properties.
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