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We introduce a magnetically charged extremal regular black hole in the coupled system of Einstein gravity and nonlinear electrodynamics. Its near horizon geometry is given by $AdS_2\times S^2$. It turns out that the entropy function…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Yun Soo Myung , Yong-Wan Kim , Young-Jai Park

We obtain minimal (2+1) and (2+2) dimensional global flat embeddings of uncharged and charged dilatonic black holes in (1+1) dimensions, respectively. Moreover, we obtain the Hawking temperatures and the black hole ones of these dilatonic…

General Relativity and Quantum Cosmology · Physics 2009-06-11 Soon-Tae Hong , Won Tae Kim , John J. Oh , Young-Jai Park

This is a report of our recent investigation on the extremal dilatonic black holes in four dimensional Gauss-Bonnet gravity. We found that a global solution can exist only when the dilaton coupling is less than a critical value which can be…

High Energy Physics - Theory · Physics 2008-11-26 Chiang-Mei Chen

We present an overall picture of the advances in the description of black hole physics from the perspective of loop quantum gravity. After an introduction that discusses the main conceptual issues we present some details about the classical…

General Relativity and Quantum Cosmology · Physics 2015-01-14 J. Fernando Barbero G. , Alejandro Perez

Path integral methods are used to derive a general expression for the entropy of a black hole in a diffeomorphism invariant theory. The result, which depends on the variational derivative of the Lagrangian with respect to the Riemann…

General Relativity and Quantum Cosmology · Physics 2009-10-28 David Brown

The information loss paradox associated with black hole Hawking evaporation is an unresolved problem in modern theoretical physics. In this paper, we revisit the entanglement entropy via the Euclidean path integral (EPI) of the quantum…

High Energy Physics - Theory · Physics 2025-01-03 Pisin Chen , Misao Sasaki , Dong-han Yeom , Junggi Yoon

I review various proposals for the nature of black hole entropy and for the mechanism behind the operation of the generalized second law. I stress the merits of entanglement entropy {\tenit qua\/} black hole entropy, and point out that,…

General Relativity and Quantum Cosmology · Physics 2009-09-25 Jacob D. Bekenstein

The tunneling approach for entropy generation in quantum gravity is applied to black holes. The area entropy is recovered and shown to count only a tiny fraction of the black hole degeneracy. The latter stems from the extension of the wave…

General Relativity and Quantum Cosmology · Physics 2010-04-06 A. Casher , F. Englert

By using Hawking's treatment as well as Zaslavskii's treatment respectively and the brick wall model, two different values of classical entropy and quantum entropy of scalar fields in the two-dimensional extreme charged dilaton black hole…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Bin Wang , Ru-Keng Su , P. K. N. Yu

We study the Page curve and the island rule for black holes evaporating into gravitating baths, with an eye towards establishing a connection with the ER=EPR proposal. We consider several models of two entangled 2d black holes in…

High Energy Physics - Theory · Physics 2021-11-02 Louise Anderson , Onkar Parrikar , Ronak M Soni

We proceed to study a (1+1)-dimensional dilaton gravity system with a hyperbolic dilaton potential. Introducing a couple of new variables leads to two copies of Liouville equations with two constraint conditions. In particular, in conformal…

High Energy Physics - Theory · Physics 2018-03-14 Hideki Kyono , Suguru Okumura , Kentaroh Yoshida

It is widely believed that exact global symmetries do not exist in theories that admit quantum black holes. Here we propose a way to quantify the degree of global symmetry violation in the Hawking radiation of a black hole by using certain…

High Energy Physics - Theory · Physics 2021-05-31 Yiming Chen , Henry W. Lin

We review some results on the connection among supergravity central charges, BPS states and Bekenstein-Hawking entropy. In particular, N=2 supergravity in four dimensions is studied in detail. For higher N supergravities we just give an…

High Energy Physics - Theory · Physics 2011-05-23 L. Andrianopoli , R. D'Auria

We discuss higher derivative corrections to black hole entropy in theories that allow a near horizon AdS_3 x X geometry. In arbitrary theories with diffeomorphism invariance we show how to obtain the spacetime central charge in a simple…

High Energy Physics - Theory · Physics 2010-04-06 Per Kraus , Finn Larsen

We study the statistical entropy of a scalar field on the (1+1)-dimensional Maxwell-dilaton background without an artificial cutoff considering corrections to all orders in the Planck length from a generalized uncertainty principle (GUP) on…

General Relativity and Quantum Cosmology · Physics 2008-02-06 Yong-Wan Kim , Young-Jai Park

We use the replica method to compute the entanglement entropy of a universe without gravity entangled in a thermofield-double-like state with a disjoint gravitating universe. Including wormholes between replicas of the latter gives an…

High Energy Physics - Theory · Physics 2021-03-17 Vijay Balasubramanian , Arjun Kar , Tomonori Ugajin

To ask a question about a black hole in quantum gravity, one must restrict initial or boundary data to ensure that a black hole is actually present. For two-dimensional dilaton gravity, and probably a much wider class of theories as well,…

General Relativity and Quantum Cosmology · Physics 2009-11-11 S. Carlip

In this paper we provide the first non-trivial evidence for universality of the entropy formula $4\pi J_{0}^{+}J_{0}^{-}$ beyond pure Einstein gravity in 4-dimensions. We consider the Einstein-Maxwell theory in the presence of cosmological…

General Relativity and Quantum Cosmology · Physics 2018-05-23 M. R. Setare , H. Adami

Quantum effects due to conformal matter in a black hole background result in universal logarithmic corrections to black-hole entropy. The universality resides in the connection of the log term coefficient with those of type-A and type-B…

General Relativity and Quantum Cosmology · Physics 2015-06-16 R Aros , D E Diaz , A Montecinos

We introduce an external field to calculate the quantum corrections of the 2d gravity, via trace anomaly. We show that there are black hole type solution even in the absence of matter field and cosmological constant. We also see that these…

General Relativity and Quantum Cosmology · Physics 2009-10-28 M. Alves