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arxiv: 1511.05446 · v2 · submitted 2015-11-17 · 🌀 gr-qc

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Smarr Formula for Lovelock Black Holes: a Lagrangian approach

Stefano Liberati , Costantino Pacilio
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classification 🌀 gr-qc
keywords blackholesformulalovelocksmarrentropyformalismintegral
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We argue that the Smarr Formula for black holes can be 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.

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  1. Thermodynamics of Chern-Simons AdS$_5$ black holes coupled to $\mathrm{SU}(2)$ solitons

    hep-th 2026-04 unverdicted novelty 5.0

    Chern-Simons AdS5 black holes with SU(2) solitons have entropy that receives nontrivial contributions from axial torsion and trace-torsion modes, confirmed by multiple methods.