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Modes of physical fields which are located inside a horizon and which cannot be observed by a distant observer are identified with dynamical degrees of freedom of a black hole. A new invariant statistical mechanical definition of a…

广义相对论与量子宇宙学 · 物理学 2021-01-05 Valery Frolov , Igor Novikov

In a series of recent works the relevance of gravitational boundary degrees of freedom and their dynamics in gravity quantization and black hole information has been explored. In this work we further the progress by keenly focusing on the…

高能物理 - 理论 · 物理学 2023-08-02 I. Y. Park

The interior of the black hole can be described by anisotropic cosmology. By quantizing the metric function, we can obtain the Wheeler-DeWitt equation for inside the horizon. In order to interpret the wave function consistently, one needs…

广义相对论与量子宇宙学 · 物理学 2022-09-08 Dong-han Yeom

We consider two proposals for defining black hole entropy in spherical symmetry, where the horizon is defined locally as a trapping horizon. The first case, boundary terms in a dual-null form of the reduced action in two dimensions, gives a…

广义相对论与量子宇宙学 · 物理学 2010-11-19 Michael C. Ashworth , Sean A. Hayward

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 employ the recently proposed formalism of the "horizon wave-function" to investigate the emergence of a horizon in models of black holes as Bose-Einstein condensates of gravitons. We start from the Klein-Gordon equation for a massless…

高能物理 - 理论 · 物理学 2014-10-29 Roberto Casadio , Andrea Giugno , Octavian Micu , Alessio Orlandi

Black hole entropy is identified with the counting of the dynamical degrees of freedom of trapped gravitational modes continually sourced by the Hawking-Unruh process. In the context of linear perturbations of Schwarzschild spacetime the…

广义相对论与量子宇宙学 · 物理学 2026-01-14 Seth Major , Daniel Rodriguez , Thomas Takis

We discuss and compare different definitions of the entropy of a black hole. In particular we show that the thermodynamical entropy defined by the response of the free energy of a black hole to the change of temperature does not coincide…

高能物理 - 理论 · 物理学 2008-02-03 V. Frolov

Using the Hartle-Hawking no-boundary proposal for the wave function of the universe, we can study the wave function and probability of a single black hole created at the birth of the universe. The black hole originates from a constrained…

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

Interior volume within the horizon of a black hole is a non-trivial concept which turns out to be very important to explain several issues in the context of quantum nature of black hole. Here we show that the entropy, contained by the {\it…

广义相对论与量子宇宙学 · 物理学 2017-05-31 Bibhas Ranjan Majhi , Saurav Samanta

The quasi-local notion of an isolated horizon is employed to study the entropy of black holes without any particular symmetry in loop quantum gravity. The idea of characterizing the shape of a horizon by a sequence of local areas is…

广义相对论与量子宇宙学 · 物理学 2021-11-02 Shupeng Song , Haida Li , Yongge Ma , Cong Zhang

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

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…

高能物理 - 理论 · 物理学 2013-12-03 Mehdi Saravani , Niayesh Afshordi , Robert B. Mann

In this paper we treat the black hole horizon as a physical boundary to the spacetime and study its dynamics following from the Gibbons-Hawking-York boundary term. Using the Kerr black hole as an example we derive an effective action that…

广义相对论与量子宇宙学 · 物理学 2015-06-16 Jianwei Mei

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

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 quantum characterization of a black hole motivated by (local) holography and thermodynamics is that it maximizes thermodynamic entropy for a given surface area. In the context of quantum gravity, this could be more fundamental than the…

高能物理 - 理论 · 物理学 2025-01-29 Yuki Yokokura

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 canonical quantum gravity, the wave function for a hypersurface inside a Schwarzschild black hole can be obtained by solving the Wheeler-DeWitt equation. What is of prime importance is the behavior of the wave function for the future…

广义相对论与量子宇宙学 · 物理学 2022-09-05 Suddhasattwa Brahma , Che-Yu Chen , Dong-han Yeom

Black hole entropy is derived from a sum over boundary states. The boundary states are labeled by energy and momentum surface densities, and parametrized by the boundary metric. The sum over state labels is expressed as a functional…

广义相对论与量子宇宙学 · 物理学 2009-10-30 David Brown
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