Einstein equations for generalized theories of gravity and the thermodynamic relation δ Q= T δ S are equivalent Academic Article uri icon

abstract

  • Abstract We show that the equations of motion of generalized theories of gravity are equivalent to the thermodynamic relation δ Q= T δ S. Our proof relies on extending previous arguments by using a more general definition of the Noether charge entropy. We have thus completed the implementation of Jacobson's proposal to express Einstein's equations as a thermodynamic equation of state. Additionally, we find that the Noether charge entropy obeys the second law of thermodynamics if the energy-momentum tensor obeys the null …

publication date

  • September 1, 2009