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In these lecture notes we describe recent progress in our understanding of attractor mechanism and entropy of extremal black holes based on the entropy function formalism. We also describe precise computation of the microscopic degeneracy…

High Energy Physics - Theory · Physics 2010-04-06 Ashoke Sen

A brief overview of the discovery that macroscopic black holes are thermodynamical systems is presented. They satisfy the laws of thermodynamics and are associated with a temperature and an entropy equal to one quarter of their horizon area…

General Relativity and Quantum Cosmology · Physics 2023-10-31 Alejandro Perez

In a recent paper we have given the macroscopic and microscopic description of the generating solution of toroidally compactified string theory BPS black holes. In this note we compute its corresponding microscopic entropy. Since by…

High Energy Physics - Theory · Physics 2010-11-19 M. Bertolini , M. Trigiante

We propose that Strominger's method to derive the BTZ black hole entropy is in fact applicable to other asymptotically AdS_3 black holes and gives the correct functional form of entropies. We discuss various solutions in the…

High Energy Physics - Theory · Physics 2009-10-31 Makoto Natsuume , Takashi Okamura

We use mergers of microstates to obtain the first smooth horizonless microstate solutions corresponding to a BPS three-charge black hole with a classically large horizon area. These microstates have very long throats, that become infinite…

High Energy Physics - Theory · Physics 2009-11-11 Iosif Bena , Chih-Wei Wang , Nicholas P. Warner

We study flows of non-supersymmetric attractor black holes in the context of gauge/gravity correspondence. As our bulk theory, we consider the Einstein-Maxwell-Dilaton system with a single dilaton field coupled to two Maxwell fields and…

High Energy Physics - Theory · Physics 2022-09-28 Norihiro Iizuka , Akihiro Ishibashi , Kengo Maeda

Although we have convincing evidence that a black hole bears an entropy proportional to its surface (horizon) area, the ``statistical mechanical'' explanation of this entropy remains unknown. Two basic questions in this connection are: what…

General Relativity and Quantum Cosmology · Physics 2008-02-03 Rafael D. Sorkin

We find a family of novel supersymmetric phases of the D1-D5 CFT, which in certain ranges of charges have more entropy than all known ensembles. We also find bulk BPS configurations that exist in the same range of parameters as these…

High Energy Physics - Theory · Physics 2012-03-30 Iosif Bena , Borun D. Chowdhury , Jan de Boer , Sheer El-Showk , Masaki Shigemori

We discuss the notion of string entanglement in string theory, which aims to study entanglement between worldsheet Hilbert spaces rather than entanglement between spacetime Hilbert spaces defined on a time slice in spacetime. Applying this…

High Energy Physics - Theory · Physics 2026-05-19 Soichiro Mori , Tadakatsu Sakai , Masaki Shigemori

It is shown that three-dimensional charged black holes can approach the extreme state at nonzero temperature. Unlike even dimensional cases, the entropy for the extreme three-dimensional charged black hole is uniquely described by the…

High Energy Physics - Theory · Physics 2009-10-31 Bin Wang , Elcio Abdalla

The black hole information paradox is really a combination of two problems: the causality paradox and the entanglement problem. The causality paradox arises because in the semiclassical approximation infalling matter gets causally trapped…

High Energy Physics - Theory · Physics 2017-03-10 Samir D. Mathur

We find the entropy functions of supersymmetric black holes in AdS$_4$ and AdS$_6$ with electric charges and angular momenta. Extremizing these functions, one obtains the entropies and the chemical potentials of known analytic black hole…

High Energy Physics - Theory · Physics 2020-02-21 Sunjin Choi , Chiung Hwang , Seok Kim , June Nahmgoong

We introduce an entropy function for supersymmetric accelerating black holes in $AdS_4$, that uplift on general Sasaki-Einstein manifolds $X_7$ to solutions of M-theory. This allows one to compute the black hole entropy without knowing the…

High Energy Physics - Theory · Physics 2023-07-27 Andrea Boido , Jerome P. Gauntlett , Dario Martelli , James Sparks

For analyzing the thermodynamical behavior of two well-known black holes such as RN-AdS black hole with global monopole and $f(R)$ black hole, we consider the higher order logarithmic corrected entropy. We develop various thermodynamical…

General Relativity and Quantum Cosmology · Physics 2018-11-28 M. Umair Shahzad , Abdul Jawad

We review some recent advances in black hole thermodynamics, including statistical mechanical origins of black hole entropy and its leading order corrections, from the viewpoints of various quantum gravity theories. We then examine the…

High Energy Physics - Theory · Physics 2008-11-26 Saurya Das

We attempt to provide a mesoscopic treatment of the origin of black hole entropy in (3+1)-dimensional spacetimes. We ascribe this entropy to the non-trivial topology of the space-like sections $\Sigma$ of the horizon. This is not forbidden…

General Relativity and Quantum Cosmology · Physics 2020-03-18 Nikolaos Kalogeropoulos

We aim to provide a microscopic explanation of observed 4D black holes based on the compactification of 5D Einstein gravity plus a positive cosmological constant on a circle. The framework of the dimensional reduction in this work allows us…

High Energy Physics - Theory · Physics 2026-03-10 Cao H. Nam

We propose a novel solution for the endpoint of gravitational collapse, in which spacetime ends (and is orbifolded) at a microscopic distance from black hole event horizons. This model is motivated by the emergence of singular event…

High Energy Physics - Theory · Physics 2013-12-03 Mehdi Saravani , Niayesh Afshordi , Robert B. Mann

Local supersymmetry enhancement (LSE) is a formalism intended to identify information needed to describe microstates of supersymmetric black holes that are realised as brane systems. After illustrating the relationship between LSE and…

High Energy Physics - Theory · Physics 2023-05-09 Yixuan Li

The black-hole information paradox provides a stringent test of would-be theories of quantum gravity. String theory has made significant progress toward a resolution of this paradox, and has led to the fuzzball and microstate geometry…

High Energy Physics - Theory · Physics 2022-03-11 Iosif Bena , Emil J. Martinec , Samir D. Mathur , Nicholas P. Warner