Gravity field equations can be derived from the thermodynamic relation for any metric theory of gravity Merav Hadad Ram Brustein, M.H. 0903.0823.

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Presentation transcript:

Gravity field equations can be derived from the thermodynamic relation for any metric theory of gravity Merav Hadad Ram Brustein, M.H

T - Unruh temperature Einstein equations can be derived from the thermodynamic relation (Jacobson,’95) (Raychauduri equation)

the equation of motion can be derived from the thermodynamic relation if the entropy is a Noether charge entropy. (E. Elizalde & P. Silva, 2008) Ricci scalar theories

Any effective action We have generalized Jacobson's derivation to any theory of gravity keeping the volume fixed during variation

The energy measured by the observer Integration over a short segment of a thin pencil of horizon generators a (D−1) volume form In agreement with Jacobson

The entropy in generalized theories of gravity with bifurcate Killing horizon bi-normal vector to the area element (D-2) volume form The entropy variation

Gravity field equations for any theory of gravity.

We have generalized Jacobson's derivation to any general theory of gravity. Are all the gravitation equations actually a macroscopic description of an underlying microscopic dynamical system ?