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We derive formulas for the leading mass, entropy, and long-range self-force corrections to extremal black holes due to higher-derivative operators. These formulas hold for black holes with arbitrary couplings to gauge fields and moduli,…

High Energy Physics - Theory · Physics 2022-11-21 Muldrow Etheredge , Ben Heidenreich

For higher derivative theories of gravity, it is possible to write the action in terms of auxiliary fields. In such case, one can show that the equations of motion for both actions are equivalent and hence the actions themselves. In this…

General Relativity and Quantum Cosmology · Physics 2017-06-01 Ali Teimouri

Quantum corrections to holographic entanglement entropy require knowledge of the bulk quantum state. In this paper, we derive a novel dual prescription for the generalized entropy that allows us to interpret the leading quantum corrections…

High Energy Physics - Theory · Physics 2022-02-25 Cesar A. Agón , Juan F. Pedraza

By applying the island rule proposed recently, we compute the entanglement entropy of Hawking radiation and study the Page curve for the eternal black holes in massive gravity. We investigate for both the neutral and charged black holes…

High Energy Physics - Theory · Physics 2022-05-18 Cao H. Nam

We present a class of exact analytic and static, spherically symmetric black hole solutions in the semi-classical Einstein equations with Weyl anomaly. The solutions have two branches, one is asymptotically flat and the other asymptotically…

High Energy Physics - Theory · Physics 2010-04-30 Rong-Gen Cai , Li-Ming Cao , Nobuyoshi Ohta

Hawking showed that a black hole formed by collapse will emit radiation and eventually disappear. We address the challenge to define an objective notion of physical entropy which increases throughout this process in a way consistent with…

General Relativity and Quantum Cosmology · Physics 2023-12-18 Bernard S. Kay

We study the entanglement entropy in a relativistic quantum field theory for regions which are not included in a single spatial hyperplane. This geometric configuration cannot be treated with the Euclidean time method and the replica trick.…

High Energy Physics - Theory · Physics 2011-09-30 David D. Blanco , Horacio Casini

We develop a general approach to simplify the derivation of the holographic Weyl anomaly. As an application, we derive the holographic Weyl anomaly from general higher derivative gravity in asymptotically $AdS_{5}$ and $AdS_{7}$.…

High Energy Physics - Theory · Physics 2015-06-17 Rong-Xin Miao

The entropy of black holes in modified theories of gravity is examined in the Palatini formalism using the Noether Charge approach. It is shown that, if the gravitational coupling constant is properly identified, the entropy of a black hole…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Dan N. Vollick

We revisit the issue of defining the entropy of a spatial region in a broad class of quantum theories. In theories with explicit regularizations, working within an elementary but general algebraic framework applicable to matter and gauge…

High Energy Physics - Theory · Physics 2018-09-18 Jennifer Lin , Djordje Radicevic

The Hamiltonian approach to black hole entropy, recently proposed in the framework of Poincar\'e gauge theory, is extended by including the scalar matter. The improved approach is used to analyse asymptotic charges and entropy of a typical…

General Relativity and Quantum Cosmology · Physics 2023-05-24 Milutin Blagojević , Branislav Cvetković

We reduce the study of perturbations of rotating black holes in higher-derivative extensions of general relativity to a system of decoupled radial equations that stem from a set of universal Teukolsky equations. We detail a complete…

General Relativity and Quantum Cosmology · Physics 2023-07-25 Pablo A. Cano , Kwinten Fransen , Thomas Hertog , Simon Maenaut

We study the entropy of black holes in the deformed Horava-Lifshitz gravity with coupling constant lambda. For lambda=1, the black hole resembles the Reissner-Norstrom black hole with a geometric parameter acting like the electric charge.…

General Relativity and Quantum Cosmology · Physics 2011-05-05 Andres Castillo , Alexis Larranaga

We propose a new entropy construct that generalizes the Tsallis, R\'enyi, Sharma-Mittal, Barrow, Kaniadakis, and Loop Quantum Gravity entropies and reduces to the Bekenstein-Hawking entropy in a certain limit. This proposal is applied to…

General Relativity and Quantum Cosmology · Physics 2022-01-10 Shin'ichi Nojiri , Sergei D. Odintsov , Valerio Faraoni

We consider classical Euclidean gravity solutions with a boundary. The boundary contains a non-contractible circle. These solutions can be interpreted as computing the trace of a density matrix in the full quantum gravity theory, in the…

High Energy Physics - Theory · Physics 2015-06-15 Aitor Lewkowycz , Juan Maldacena

We study the time evolution of the entanglement entropy of Hawking radiation in the $(n+1)-$dimensional Kerr-Newman black hole evaporation by the holographic approach that considering the $(n+1)-$dimensional AdS eternal black brane coupled…

High Energy Physics - Theory · Physics 2022-09-13 Po-Chun Sun

We present, in closed analytic form, a general stationary, slowly rotating black hole, which is solution to a large class of alternative theories of gravity in four dimensions. In these theories, the Einstein-Hilbert action is supplemented…

General Relativity and Quantum Cosmology · Physics 2011-10-27 Paolo Pani , Caio F. B. Macedo , Luis C. B. Crispino , Vitor Cardoso

We show that, in the first or second order orthonormal frame formalism, black hole entropy is the horizon Noether charge for a combination of diffeomorphism and local Lorentz symmetry involving the Lie derivative of the frame. The Noether…

General Relativity and Quantum Cosmology · Physics 2015-12-16 Ted Jacobson , Arif Mohd

A higher order theory of dilaton gravity is constructed as a generalization of the Einstein-Lovelock theory of pure gravity. Its Lagrangian contains terms with higher powers of the Riemann tensor and of the first two derivatives of the…

High Energy Physics - Theory · Physics 2008-11-26 D. Konikowska , M. Olechowski

We provide a framework for a perturbative evaluation of the reduced density matrix. The method is based on a path integral in the analytically continued spacetime. It suggests an alternative to the holographic and `standard' replica trick…

High Energy Physics - Theory · Physics 2015-06-19 Vladimir Rosenhaus , Michael Smolkin
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