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In this paper we elaborate on the relation between the entropy formula of Wald and the "entropy function" method proposed by A. Sen. For spherically symmetric extremal black holes, it is shown that the expression of extremal black hole…

高能物理 - 理论 · 物理学 2008-11-26 Rong-Gen Cai , Li-Ming Cao

We show that the Wald Noether charge entropy is canonically conjugate to the opening angle at the horizon. Using this canonical relation we extend the Wheeler-DeWitt equation to a Schroedinger equation in the opening angle, following Carlip…

高能物理 - 理论 · 物理学 2015-06-04 Ram Brustein , Merav Hadad

General laws of black-hole dynamics, some of which are analogous to the laws of thermodynamics, have recently been found for a general definition of black hole in terms of a future outer trapping horizon, a hypersurface foliated by marginal…

广义相对论与量子宇宙学 · 物理学 2010-04-06 Sean A. Hayward

We review recent progress in understanding certain aspects of the thermodynamics of black holes and other horizons. Our discussion centers on various ``entropy bounds'' which have been proposed in the literature and on the current…

高能物理 - 理论 · 物理学 2017-08-23 Donald Marolf

It has recently been shown that, in the vicinity of their event horizons, black holes exhibit an infinite-dimensional symmetry. This symmetry captures relevant physical information about the black hole, and in particular about its…

高能物理 - 理论 · 物理学 2019-09-04 Laura Donnay , Gaston Giribet

There would be a perfect correspondence between the laws of classical thermodynamics and black hole thermodynamics, except for the apparent failure of black hole thermodynamics to correspond to the Third Law. The classical Third Law of…

综合物理 · 物理学 2007-05-23 A. J. Meyer

Black holes monopolize nowadays the center stage of fundamental physics. Yet, they are poorly understood objects. Notwithstanding, from their generic properties, one can infer important clues to what a fundamental theory, a theory that…

广义相对论与量子宇宙学 · 物理学 2008-04-05 José P. S. Lemos

In this paper we calculate the entropy of a thin spherical shell that contracts reversibly from infinity down to its event horizon. We find that, for a broad class of equations of state, the entropy of a non-extremal shell is one-quarter of…

广义相对论与量子宇宙学 · 物理学 2009-10-30 F. Pretorius , D. Vollick , W. Israel

We show that the entropy of any black object in any dimension can be understood as the entropy of a highly excited string on the stretched horizon. The string has a gravitationally renormalized tension due to the large redshift near the…

高能物理 - 理论 · 物理学 2010-02-03 Edi Halyo

Recently Hollands, Wald and Zhang proposed a new formula for the entropy of a dynamical black hole. We lift this construction to the dynamical cosmological event horizon of an asymptotically de Sitter spacetime. By introducing a nontrivial…

广义相对论与量子宇宙学 · 物理学 2025-07-09 Jinan Zhao

We examine counterparts of the Reissner-Nordstrom-anti-de Sitter black hole spacetimes in which the two-sphere has been replaced by a surface Sigma of constant negative or zero curvature. When horizons exist, the spacetimes are black holes…

广义相对论与量子宇宙学 · 物理学 2009-10-30 Dieter R. Brill , Jorma Louko , Peter Peldan

Using the techniques of isolated horizon formalism, we construct the space of solutions of asymptotically flat extremal black holes in N=2 pure supergravity in 4 dimensions. We prove the laws of black hole mechanics. Further, restricting to…

广义相对论与量子宇宙学 · 物理学 2009-12-03 Ayan Chatterjee

Although we know that black holes are characterized by a temperature and an entropy, we do not yet have a satisfactory microscopic ``statistical mechanical'' explanation for black hole thermodynamics. I describe a new approach that…

广义相对论与量子宇宙学 · 物理学 2016-01-27 S. Carlip

A general definition of a black hole is given, and general `laws of black-hole dynamics' derived. The definition involves something similar to an apparent horizon, a trapping horizon, defined as a hypersurface foliated by marginal surfaces…

广义相对论与量子宇宙学 · 物理学 2009-10-22 Sean A. Hayward

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,…

广义相对论与量子宇宙学 · 物理学 2009-11-11 S. Carlip

In classical general relativity described by Einstein-Hilbert gravity, black holes behave as thermodynamic objects. In particular, the laws of black hole mechanics can be interpreted as laws of thermodynamics. The first law of black hole…

高能物理 - 理论 · 物理学 2017-04-05 Sayantani Bhattacharyya , Felix M. Haehl , Nilay Kundu , R. Loganayagam , Mukund Rangamani

To explain black hole thermodynamics in quantum gravity, one must introduce constraints to ensure that a black hole is actually present. I show that for a large class of black holes, such ``horizon constraints'' allow the use of conformal…

广义相对论与量子宇宙学 · 物理学 2010-04-28 S. Carlip

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

We investigate whether black holes can be defined without using event horizons. In particular we focus on the thermodynamic properties of event horizons and the alternative, locally defined horizons. We discuss the assumptions and…

高能物理 - 理论 · 物理学 2009-07-22 Alex B. Nielsen

Following Barrow's idea of fractal black hole horizon, we re-derive black hole entropy of static spherically symmetric black holes. When a black hole absorbs matter its horizon area will increase. Given the spherically fractal structure, we…

广义相对论与量子宇宙学 · 物理学 2022-05-27 Li-Hua Wang , Meng-Sen Ma