Quantum gravity of Kerr-Schild spacetimes and the logarithmic correction to Schwarzschild black hole entropy

  • Basem Kamal El-Menoufi
Open Access
Regular Article - Theoretical Physics


In the context of effective field theory, we consider quantum gravity with minimally coupled massless particles. Fixing the background geometry to be of the Kerr-Schild type, we fully determine the one-loop effective action of the theory whose finite non-local part is induced by the long-distance portion of quantum loops. This is accomplished using the non-local expansion of the heat kernel in addition to a non-linear completion technique through which the effective action is expanded in gravitational curvatures. Via Euclidean methods, we identify a logarithmic correction to the Bekenstein-Hawking entropy of Schwarzschild black hole. Using dimensional transmutation the result is shown to exhibit an interesting interplay between the UV and IR properties of quantum gravity.


Black Holes Effective field theories Models of Quantum Gravity 


Open Access

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© The Author(s) 2016

Authors and Affiliations

  1. 1.Department of PhysicsUniversity of MassachusettsAmherstU.S.A.

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