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Paper   IPM / Physic / 14391
School of Physics
  Title:   Revisiting Conserved Charges in Higher Curvature Gravitational Theories
1.  M. Ghodrati
2.  K. Hajian
3.  M.R. Setare
  Status:   Published
  Journal: Eur. Phys. J. C
  No.:  12
  Vol.:  76
  Year:  2016
  Pages:   701
  Supported by:  IPM
Restricting the covariant gravitational phase spaces to the manifold of parametrized families of solutions, the mass, angular momenta, entropies, and electric charges can be calculated by a single and simple method. In this method, which has been called "solution phase space method," entropies and other conserved charges can be calculated on arbitrary surfaces, not necessarily horizons or asymptotics. Hence, the first law of thermodynamics would be simply an identity relating the exact symmetries to which the mass, angular momentum, electric charge and entropy are attributed. In this paper, we apply this powerful method to the higher curvature gravitational theories. Furthermore, conserved charges and the first law of thermodynamics for some of their black hole solutions are exemplified.

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