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      Gedanken experiments to destroy a black hole. II. Kerr-Newman black holes cannot be overcharged or overspun

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      Physical Review D
      American Physical Society (APS)

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          Some Properties of Noether Charge and a Proposal for Dynamical Black Hole Entropy

          We consider a general, classical theory of gravity with arbitrary matter fields in \(n\) dimensions, arising from a diffeomorphism invariant Lagrangian, \(\bL\). We first show that \(\bL\) always can be written in a ``manifestly covariant" form. We then show that the symplectic potential current \((n-1)\)-form, \(\th\), and the symplectic current \((n-1)\)-form, \(\om\), for the theory always can be globally defined in a covariant manner. Associated with any infinitesimal diffeomorphism is a Noether current \((n-1)\)-form, \(\bJ\), and corresponding Noether charge \((n-2)\)-form, \(\bQ\). We derive a general ``decomposition formula" for \(\bQ\). Using this formula for the Noether charge, we prove that the first law of black hole mechanics holds for arbitrary perturbations of a stationary black hole. (For higher derivative theories, previous arguments had established this law only for stationary perturbations.) Finally, we propose a local, geometrical prescription for the entropy, \(S_{dyn}\), of a dynamical black hole. This prescription agrees with the Noether charge formula for stationary black holes and their perturbations, and is independent of all ambiguities associated with the choices of \(\bL\), \(\th\), and \(\bQ\). However, the issue of whether this dynamical entropy in general obeys a ``second law" of black hole mechanics remains open. In an appendix, we apply some of our results to theories with a nondynamical metric and also briefly develop the theory of stress-energy pseudotensors.
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            Reversible and Irreversible Transformations in Black-Hole Physics

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              Acceleration radiation and the generalized second law of thermodynamics

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                Author and article information

                Journal
                PRVDAQ
                Physical Review D
                Phys. Rev. D
                American Physical Society (APS)
                2470-0010
                2470-0029
                November 2017
                November 13 2017
                : 96
                : 10
                Article
                10.1103/PhysRevD.96.104014
                3db7e4d4-749b-468c-90d7-834fccc278e4
                © 2017

                https://link.aps.org/licenses/aps-default-license

                https://link.aps.org/licenses/aps-default-accepted-manuscript-license

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