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We discuss the statistical-mechanical entropy of black hole calculated according to 't Hooft. It is argued that in presence of horizon the statistical mechanics of quantum fields depends on their UV behavior. The ``brick wall'' model was…

高能物理 - 理论 · 物理学 2007-05-23 Sergey Solodukhin

By using the Newman-Penrose formalism and the improved thin-layer ``brick wall'' approach, the statistical-mechanical entropies of the Schwarzschild-de Sitter black hole arising from quantum massless arbitrary spin fields are studied in the…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Chikun Ding , Jiliang Jing

By using the 't Hooft "brick wall" model and the Pauli-Villars regularization scheme we calculate the statistical-mechanical entropy arising from the minimally coupled scalar fields which rotate with the azimuthal angular velocity…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Jiliang Jing , Mu-Lin Yan

Starting from metric of the general nonextreme stationary axisymmetric black hole in four-dimensional spacetime, both statistical-mechanical and thermodynamical entropies are studied. First, by means of the "brick wall" model in which the…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Jiliang Jing , Mu-Lin Yan

Formulating the statistical mechanics for a scalar field with non-minimal $\xi R \phi^2$ coupling in a black hole background we propose modification of the original 't Hooft ``brick wall'' prescription. Instead of the Dirichlet condition we…

高能物理 - 理论 · 物理学 2016-08-25 Sergey N. Solodukhin

We consider the entropy of a quantum scalar field on a background black hole geometry in asymptotically anti-de Sitter space-time, using the ``brick wall'' approach. In anti-de Sitter space, the theory has no infra-red divergences, and all…

高能物理 - 理论 · 物理学 2009-10-31 Elizabeth Winstanley

A semi-classical reasoning leads to the non-commutativity of the space and time coordinates near the horizon of Schwarzschild black hole. This non-commutativity in turn provides a mechanism to interpret the brick wall thickness hypothesis…

广义相对论与量子宇宙学 · 物理学 2009-11-10 Hua Bai , Mu-Lin Yan

We calculate the statistical entropy of a quantum field with an arbitrary spin propagating on the spherical symmetric black hole background by using the brick wall formalism at higher orders in the WKB approximation. For general spins, we…

高能物理 - 理论 · 物理学 2013-05-16 Wontae Kim , Shailesh Kulkarni

Within the framework of the "brick wall model", a novel method is developed to compute the contributions of a scalar field to the thermodynamic quantities of black holes. The relations between (transverse) momenta and frequencies in Rindler…

高能物理 - 理论 · 物理学 2015-09-23 F. Lenz , K. Ohta , K. Yazaki

The microscopic origin of black hole entropy remains one of the central puzzles in quantum gravity. In this work, we investigate the statistical entropy of scalar fields propagating in stationary axisymmetric spacetimes using the thin-film…

广义相对论与量子宇宙学 · 物理学 2026-01-07 Chandra Prakash

In this article, we will discuss a Lorentzian sector calculation of the entropy of a minimally coupled scalar field in the Schwarzschild black hole background using the brick wall model of 't Hooft. In the original article, the WKB…

广义相对论与量子宇宙学 · 物理学 2016-03-08 Kaushik Ghosh

Using the brick wall regularization of 't Hooft, the entropy of non-extreme and extreme black holes is investigated in a general static, spherically symmetric spacetime. We classify the singularity in the entropy by introducing a {\it new}…

广义相对论与量子宇宙学 · 物理学 2009-11-11 M. Kenmoku , K. K. Nandi , K. Shigemoto

We compute the entropy of systems of quantum particles satisfying the fractional exclusion statistics in the space-time of 2+1 dimensional black hole by using the brick-wall method. We show that the entropy of each effective quantum field…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Hyeong-Chan Kim , Yoonbai Kim , Phillial Oh

In 1984, 't Hooft famously used a brickwall (aka stretched horizon) to compute black hole entropy up to a numerical pre-factor. This calculation is sometimes interpreted as due to the entanglement of the modes across the horizon, but more…

高能物理 - 理论 · 物理学 2023-12-22 Chethan Krishnan , Pradipta S. Pathak

[Abridged] We compute the canonical entropy of a quantum scalar field around static and spherically symmetric black holes through the brick wall approach at the higher orders (in fact, up to the sixth order in \hbar) in the WKB…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Sudipta Sarkar , S. Shankaranarayanan , L. Sriramkumar

The brick wall model is a semi-classical approach to understanding the microscopic origin of black hole entropy. We outline the formalism for the brick wall model in arbitrary number of dimensions and generalize it to include both charged…

高能物理 - 理论 · 物理学 2025-05-22 Axel Hrelja , Tajron Jurić , Filip Požar

We discuss the connection between different entropies introduced for black hole. It is demonstrated on the two-dimensional example that the (quantum) thermodynamical entropy of a hole coincides (including UV-finite terms) with its…

高能物理 - 理论 · 物理学 2016-08-24 Sergey Solodukhin

We revisit the "brick wall" model for black hole entropy taking into account back-reaction effects on the horizon structure. We do so by adopting an evaporating metric in the quasi-static approximation in which departures from the standard…

广义相对论与量子宇宙学 · 物理学 2019-09-04 Michele Arzano , Lennart Brocki , Jerzy Kowalski-Glikman , Marco Letizia , Josua Unger

We quantize a scalar field at finite temperature T in the background of a classical black hole, adopting 't Hooft's ``brick wall'' model with generic mixed boundary conditions at the brick wall boundary. We first focus on the exactly…

高能物理 - 理论 · 物理学 2007-05-23 Giuseppe Milanesi , Mihail Mintchev

There have been many attempts to understand the statistical origin of black-hole entropy. Among them, entanglement entropy and the brick wall model are strong candidates. In this paper, first, we show that the entanglement approach reduces…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Shinji Mukohyama
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