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Black hole and de Sitter solutions in a covariant renormalizable field theory of gravity

G. Cognola1, E. Elizalde2, L. Sebastiani1, and S. Zerbini1

  • 1Department of Physics, Trento University and Gruppo Collegato di Trento Sezione INFN di Padova, Italy
  • 2Consejo Superior de Investigaciones Científicas, Institut de Ciències de l’Espai (IEEC-CSIC), Campus UAB, Facultat de Ciències, Torre C5-Par-2a pl, E-08193 Bellaterra (Barcelona), Spain (ICREA)

Phys. Rev. D 83, 063003 – Published 11 March, 2011

DOI: https://doi.org/10.1103/PhysRevD.83.063003

Abstract

It is shown that Schwarzschild black hole and de Sitter solutions exist as exact solutions of a recently proposed relativistic covariant formulation of (power-counting) renormalizable gravity with a fluid. The formulation without a fluid is presented here too. The stability of the solutions is studied and their corresponding entropies are computed by using the covariant Wald method. The area law is shown to hold both for the Schwarzschild and for the de Sitter solutions found, confirming that, for the β=1 case, one is dealing with a minimal modification of general relativity.

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