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

Journal Article · Mon Feb 15 00:00:00 EST 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.81.044010· OSTI ID:21409298

Shaofeng, Wu; Xianhui, Ge; Guohong, Yang ^[1]; Bin, Wang ^[2]

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1. Department of Physics, Shanghai University, Shanghai 200444 (China)
2. Department of Physics, Fudan University, Shanghai 200433 (China)

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.

• OSTI ID: 21409298
• Journal Information: Physical Review. D, Particles Fields, Vol. 81, Issue 4; Other Information: DOI: 10.1103/PhysRevD.81.044010; (c) 2010 The American Physical Society; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ELASTICITY
ENTROPY
FIELD EQUATIONS
GRAVITATION
GRAVITATIONAL FIELDS
SOLIDS
SPACE-TIME
VECTOR FIELDS
EQUATIONS
MECHANICAL PROPERTIES
PHYSICAL PROPERTIES
THERMODYNAMIC PROPERTIES