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An analytical prediction is established of how an isolated many-body quantum system relaxes towards its thermal long-time limit under the action of a time-independent perturbation, but still remaining sufficiently close to a reference case…

Statistical Mechanics · Physics 2020-03-25 Lennart Dabelow , Peter Reimann

[abridged] Energy relaxation around a massive black hole (MBH) is key to establishing the dynamical state of galactic nuclei, and the nature of close stellar interactions with the MBH. The standard description of relaxation as diffusion…

Astrophysics of Galaxies · Physics 2015-06-11 Ben Bar-Or , Gábor Kupi , Tal Alexander

According to the third law of Thermodynamics, it takes an infinite number of steps for any object, including black-holes, to reach zero temperature. For any physical system, the process of cooling to absolute zero corresponds to erasing…

General Relativity and Quantum Cosmology · Physics 2018-10-16 Swastik Bhattacharya , S. Shankaranarayanan

We calculate the constraints on the primordial curvature perturbation at the end of inflation from the present day abundance of Primordial Black Holes (PBHs), as a function of the reheat temperature T_{\rm RH}. We first extend recent work…

Astrophysics · Physics 2009-11-11 Ignacio Zaballa , Anne M. Green , Karim A. Malik , Misao Sasaki

We revisit our earlier work and investigate the bound state perturbations in the interior of the Schwarzschild black hole. The bound sates are defined as the perturbations in the interior of the black hole with an imaginary spectrum which…

General Relativity and Quantum Cosmology · Physics 2025-12-01 Hassan Firouzjahi

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…

High Energy Physics - Theory · Physics 2007-05-23 Giuseppe Milanesi , Mihail Mintchev

A general bound on the Lyapunov exponent of a quantum system is given by $\lambda_L\leq2\pi\,T/\hbar$, where $T$ is the system temperature, as established by Maldacena, Shenker, and Stanford (MSS). This upper bound is saturated when the…

Quantum Physics · Physics 2022-03-21 Zehua Tian , Yiheng Lin , Uwe R. Fischer , Jiangfeng Du

It is commonly known in the literature that large black holes in anti-de Sitter spacetimes (with reflective boundary condition) are in thermal equilibrium with their Hawking radiation. Focusing on black holes with event horizon of toroidal…

General Relativity and Quantum Cosmology · Physics 2022-01-31 Ru Ling , Hao Xu , Yen Chin Ong

Recent results of quantum field theory on a curved spacetime suggest that extremal black holes are not thermal objects and that the notion of zero temperature is ill-defined for them. If this is correct, one may have to go to a full…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Stefano Liberati , Tony Rothman , Sebastiano Sonego

The seminal works of Bekenstein and Hawking have revealed that black holes have a well-defined thermodynamic description. In particular, it is often stated in the physical literature that black holes, like mundane physical systems, obey the…

High Energy Physics - Theory · Physics 2016-08-22 Shahar Hod

Nonextreme black hole in a cavity within the framework of the canonical or grand canonical ensemble can approach the extreme limit with a finite temperature measured on a boundary located at a finite proper distance from the horizon. In…

General Relativity and Quantum Cosmology · Physics 2009-10-30 O. B. Zaslavskii

We investigate the possibility of statistical explanation of the black hole entropy by counting quasi-bounded modes of thermal fluctuation in two dimensional black hole spacetime. The black hole concerned is quantum in the sense that it is…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Y. Itoh , M. Hotta , T. Futamase , M. Morikawa

A criterion of thermal stability is derived for electrically charged quantum} black holes having large horizon area (compared to Planck area), as an inequality between the mass of the black hole and its microcanonical entropy. The…

General Relativity and Quantum Cosmology · Physics 2012-06-07 Abhishek Majhi , Parthasarathi Majumdar

Some problems have been found as to the definition of entropy of black hole being applied to the extremal Kerr-Newman case, which has conflicts with the third law of thermodynamics. We have proposed a new modification for the near extremal…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Hai Lin

The concept of negative temperature (T < 0) is unique to quantum physics and describes systems that are hotter than any positive temperature system. For decades negative temperatures have been shown in a number of spin systems, but…

General Relativity and Quantum Cosmology · Physics 2024-02-29 Richard A. Norte

We show, in different ways, that in the ubiquitous phenomenon of black body radiation there exists a minimum and maximum temperature. These limiting values are so small and large respectively, that they are of no practical use, except in an…

General Relativity and Quantum Cosmology · Physics 2014-11-20 M. Nowakowski , I. Arraut

Recently, significant progress has been made in the study of black hole (BH) perturbations, both within the framework of general modified gravity theories and in complex environments. However, a well-established conclusion regarding the…

General Relativity and Quantum Cosmology · Physics 2025-01-24 Wei Xiong , Peng-Cheng Li

We study the quantum chaos bound in the photon ring region surrounding black holes. By evaluating the Lyapunov exponent associated with unstable null geodesics in a broad class of generalized Kerr geometries, as well as the temperature…

High Energy Physics - Theory · Physics 2026-05-29 D. Giataganas , G. F. Giudice , A. Kehagias , F. Quevedo , A. Riotto

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…

General Relativity and Quantum Cosmology · Physics 2008-04-05 José P. S. Lemos

The thermodynamics of de Sitter black holes is complicated by the presence of two horizons and the absence of a globally defined timelike Killing vector. The standard choice of the Gibbons-Hawking Killing vector is at odds with the…

High Energy Physics - Theory · Physics 2026-04-20 Lars Aalsma , Puxin Lin , Jan Pieter van der Schaar , Gary Shiu , Watse Sybesma