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Gravity field equations can be derived from the thermodynamic relation for any metric theory of gravity Merav Hadad Ram Brustein, M.H. 0903.0823. T - Unruh temperature. Einstein equations can be derived from the thermodynamic relation (Jacobson,’95). (Raychauduri equation).
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Gravity field equations can be derived from the thermodynamic relation foranymetric theory of gravity Merav Hadad Ram Brustein, M.H. 0903.0823
T - Unruh temperature Einstein equations can be derived from the thermodynamic relation (Jacobson,’95) (Raychauduri equation)
Ricci scalar theories the equation of motion can be derived from the thermodynamic relation if the entropy is a Noether charge entropy. (E. Elizalde & P. Silva, 2008)
Any effective action We have generalized Jacobson's derivation to any theory of gravitykeeping the volume fixed during variation
Theenergy measured by the observer a (D−1) volume form Integration over a short segment of a thin pencil of horizon generators 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?