Black hole entropy and Lorentz-diffeomorphism Noether charge

被引:83
作者
Jacobson, Ted [1 ]
Mohd, Arif [2 ,3 ]
机构
[1] Univ Maryland, Ctr Fundamental Phys, College Pk, MD 20742 USA
[2] SISSA, I-34136 Trieste, Italy
[3] Ist Nazl Fis Nucl, Sez Trieste, Trieste, Italy
来源
PHYSICAL REVIEW D | 2015年 / 92卷 / 12期
基金
美国国家科学基金会;
关键词
D O I
10.1103/PhysRevD.92.124010
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We show that, in the first or second order orthonormal frame formalism, black hole entropy is the horizon Noether charge for a combination of diffeomorphism and local Lorentz symmetry involving the Lie derivative of the frame. The Noether charge for diffeomorphisms alone is unsuitable, since a regular frame cannot be invariant under the flow of the Killing field at the bifurcation surface. We apply this formalism to Lagrangians polynomial in wedge products of the frame field 1-form and curvature 2-form, including general relativity, Lovelock gravity, and "topological" terms in four dimensions.
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页数:8
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