Deriving the gravitational field equation and horizon entropy for arbitrary diffeomorphism-invariant gravity from a spacetime solid

Deriving the gravitational field equation and horizon entropy for arbitrary diffeomorphism-invariant gravity from a spacetime solid
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从时空固体导出任意微分同胚不变引力的引力场方程和视界熵

DOI:
10.1103/physrevd.81.044010
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发表时间:
2009-09
期刊:
Physical Review D - Particles, Fields, Gravitation and Cosmology
影响因子:
--
通讯作者:
Yang, Guo-Hong
Yang, Guo-Hong
中科院分区:
其他
文献类型:
--
作者:
Wu, Shao-Feng;Wang, Bin;Ge, Xian-Hui;Yang, Guo-Hong

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受时空与弹性模量不均匀的固体的相似性的启发,我们提出了一种通过对时空固体位移向量场的熵函数求极值来获得任意同态不变引力场方程的方法.在一般的定态时空中,我们证明了视界的Wald熵来源于时空固体的在壳熵函数。
Motivated by the analogy between the spacetime and the solid with inhomogeneous elasticity modulus, we present an alternative method to obtain the field equation of any diffeomorphism-invariant gravity, by extremizing the constructed entropy function of the displacement vector field of spacetime solid. In general stationary spacetimes, we show that the Wald entropy of horizon arises from the on-shell entropy function of spacetime solid.
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