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

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

2009-09-08

arxiv.org/abs/0909.1367v3

Phys.Rev.D81:044010,2010

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

19 pages, no figure, to be published in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.81.044010

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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