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Foliated manifolds are particular examples of noncommutative spaces. In this article we try to give a qualitative description of the Godbillon-Vey class and its relation on the one hand to the holonomy and on the other hand to the…

高能物理 - 理论 · 物理学 2007-05-23 Ioannis P. Zois

Black holes in 2+1 dimensions enjoy long range topological interactions similar to those of non-abelian anyon excitations in a topologically ordered medium. Using this observation, we compute the topological entanglement entropy of BTZ…

高能物理 - 理论 · 物理学 2015-06-16 Lauren McGough , Herman Verlinde

The Bekenstein-Hawking formula relates the black hole entropy and horizon area. Semiclassical entropy computations have relied on an action principle that fixes a gauge dependent and classically unobservable boundary three-geometry and…

高能物理 - 理论 · 物理学 2018-11-28 Thomas C. Bachlechner

One of the challenges of today's theoretical physics is to fully understand the connection between a geometrical object like area and a thermostatistical one like entropy, since area behaves analogously like entropy. The Bekenstein bound…

广义相对论与量子宇宙学 · 物理学 2022-11-23 Everton M. C. Abreu , Jorge Ananias Neto

In this work some proposals for black hole entropy interpretation are exposed and investigated. In particular I will firstly consider the so called ``entanglement entropy" interpretation, in the framework of the brick wall model, and the…

广义相对论与量子宇宙学 · 物理学 2007-05-23 S. Liberati

After recalling the definition of black holes, and reviewing their energetics and their classical thermodynamics, one expounds the conjecture of Bekenstein, attributing an entropy to black holes, and the calculation by Hawking of the…

高能物理 - 理论 · 物理学 2015-06-26 Thibault Damour

In gravitational thermodynamics, the origin of a black hole's entropy is the topology of its instanton or constrained instanton. We prove that the entropy of an arbitrary nonrotating black hole is one quarter the sum of the products of the…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Zhong Chao Wu

String theory is used to compute the microscopic entropy for several examples of black holes in compactifications with $N=2$ supersymmetry. Agreement with the Bekenstein-Hawking entropy and the moduli-independent $N=2$ area formula is found…

高能物理 - 理论 · 物理学 2016-09-06 David M. Kaplan , David A. Lowe , Juan M. Maldacena , Andrew Strominger

We discuss the most interesting approaches to derivation of the Bekenstein-Hawking entropy formula from a statistical theory.

广义相对论与量子宇宙学 · 物理学 2007-05-23 V. O. Soloviev

In this work a deep relation between topology and thermodynamical features of manifolds with boundaries is shown. The expression for the Euler characteristic, through the Gauss- Bonnet integral, and the one for the entropy of gravitational…

高能物理 - 理论 · 物理学 2008-02-03 Stefano Liberati , Giuseppe Pollifrone

The relation between entropy and the area of the event horizon of a quantum blackhole in four dimensions is derived. The Reissner-Nordstrom metric for a non-rotating, charged black hole is shown to be modified by the addition of a new…

高能物理 - 理论 · 物理学 2009-07-03 B. B. Deo , P. K. Jena

The classical Bekenstein entropy of a black hole is argued to arise from configurations of strings with ends which are frozen on the horizon. Quantum corrections to this entropy are probably finite unlike the case in quantum field theory.…

高能物理 - 理论 · 物理学 2008-02-03 Leonard Susskind

String propagation on a cone with deficit angle $2\pi(1-{1\over N})$ is considered for the purpose of computing the entropy of a large mass black hole. The entropy computed using the recent results on condensation of twisted-sector tachyons…

高能物理 - 理论 · 物理学 2009-11-07 Atish Dabholkar

A straightforward two-line derivation of the Bekenstein-Hawking Area-Entropy relation for Black-Holes in {\bf any} dimension is shown based on Shannon's information theory and Clifford algebras required by the New Relativity Principle.

高能物理 - 理论 · 物理学 2015-06-25 Carlos Castro

It is a common belief now that the explanation of the microscopic origin of the Bekenstein-Hawking entropy of black holes should be available in quantum gravity theory, whatever this theory will finally look like. Calculations of the…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Dmitri V. Fursaev

We consider corrections to the entropy of a black hole from an $O(N)$ invariant linear $\s$-model. We obtain the entropy from a $1/N$ expansion of the partition function on a cone. The entropy arises from diagrams which are analogous to…

高能物理 - 理论 · 物理学 2008-11-26 D. Kabat , S. H. Shenker , M. J. Strassler

Restricted to a black hole horizon, the ``gauge'' algebra of surface deformations in general relativity contains a Virasoro subalgebra with a calculable central charge. The fields in any quantum theory of gravity must transform accordingly,…

高能物理 - 理论 · 物理学 2010-04-28 S. Carlip

We consider the entropy of a black hole which has zero area horizon. The microstates appear as monopole solutions of the effective theory on the corresponding brane configurations.The resulting entropy formula coincides with the one…

高能物理 - 理论 · 物理学 2009-10-31 Takao Suyama

We review the insights into black hole entropy that arise from the formulation of gravitation theory in terms of dimensional continuation. The role of the horizon area and the deficit angle of a conical singularity at the horizon as…

高能物理 - 理论 · 物理学 2007-05-23 C. Teitelboim

One of the remarkable features of black holes is that they possess a thermodynamic description, even though they do not appear to be statistical systems. We use self-gravitating magnetic monopole solutions as tools for understanding the…

广义相对论与量子宇宙学 · 物理学 2015-06-25 Arthur Lue , Erick J. Weinberg
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