The mass formula for black holes can be formally expressed in terms of a Noether charge surface integral plus a suitable volume integral, for any gravitational theory. The integrals can be constructed as an application of Wald's formalism. We apply this formalism to compute the mass and the Smarr formula for static Lovelock black holes. Finally, we propose a new prescription for Wald's entropy in the case of Lovelock black holes, which takes into account topological contributions to the entropy functional.
Smarr formula for Lovelock black holes: A Lagrangian approach / Liberati, Stefano; Pacilio, Costantino. - In: PHYSICAL REVIEW D. - ISSN 2470-0010. - 93:8(2016). [10.1103/PhysRevD.93.084044]
Smarr formula for Lovelock black holes: A Lagrangian approach
Pacilio, Costantino
2016
Abstract
The mass formula for black holes can be formally expressed in terms of a Noether charge surface integral plus a suitable volume integral, for any gravitational theory. The integrals can be constructed as an application of Wald's formalism. We apply this formalism to compute the mass and the Smarr formula for static Lovelock black holes. Finally, we propose a new prescription for Wald's entropy in the case of Lovelock black holes, which takes into account topological contributions to the entropy functional.| File | Dimensione | Formato | |
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