Spacetime thermodynamics in the presence of torsion

  title={Spacetime thermodynamics in the presence of torsion},
  author={Ramit Dey and Stefano Liberati and Daniele Pranzetti},
  journal={Physical Review D},
It was shown by Jacobson in 1995 that the Einstein equation can be derived as a local constitutive equation for an equilibrium spacetime thermodynamics. With the aim to understand if such thermodynamical description is an intrinsic property of gravitation, many attempts have been done so far to generalise this treatment to a broader class of gravitational theories. Here we consider the case of the Einstein-Cartan theory as a prototype of theories with non-propagating torsion. In doing so, we… 
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  • Math. Phys. 43, 199 (1975), [,167
  • 1975
  • Math. Phys. 31, 161
  • 1973
  • Rev. D7, 2333
  • 1973
  • Rev. D85, 064017
  • 2012
International Journal of Theoretical Physics 19
  • 573
  • 1980
  • 048
  • 2008
  • Rept. 357, 113
  • 2002
New J
  • Phys. 16, 123041
  • 2014