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We discuss black hole quantization in the Wheeler-DeWitt approach. Our consideration is based on a detailed investigation of the canonical formulation of gravity with special considerations of surface terms. Since the phase space of gravity…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Thorsten Brotz

We consider the transition rate of a freely falling Unruh-DeWitt detector, coupled linearly to a massless scalar quantum field prepared in the Hartle-Hawking-Israel state, as a probe of the interior of a black hole. Specifically, we…

General Relativity and Quantum Cosmology · Physics 2025-03-13 Massimiliano Spadafora , Manar Naeem , María R. Preciado-Rivas , Robert B. Mann , Jorma Louko

This study probes spacetime solutions within Einstein-Bumblebee gravity, a modified gravitational framework incorporating spontaneous Lorentz symmetry violation through a vector field mechanism. By introducing a cosmological constant into…

General Relativity and Quantum Cosmology · Physics 2025-08-04 Reggie C. Pantig , Shubham Kala , Ali Övgün , Nikko John Leo S. Lobos

We study thermodynamic aspects of ordinary and lower dimensional noncommutative black holes within an extended anti-de Sitter phase space by treating the negative cosmological constant and the minimal cut-off length as thermodynamic…

General Relativity and Quantum Cosmology · Physics 2025-12-29 Athanasios G. Tzikas

The seminar discovery by Gibbons and Hawking that a freely falling detector observes an isotropic background of thermal radiation reveals that de Sitter space is equivalent to a thermal bath at the Gibbons-Hawking temperature in Minkowski…

General Relativity and Quantum Cosmology · Physics 2022-11-29 Wenting Zhou , Shijing Cheng , Hongwei Yu

Derived from semi-classical quantum field theory in curved spacetime, Unruh effect was known as a quantum effect. We find that there does exist a classical correspondence of this effect in electrodynamics. The thermal nature of the vacuum…

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

We investigate the behavior of tetrapartite entanglement in a four-qubit Dicke state under relativistic motion by employing the Unruh-DeWitt detector model, where one detector undergoes uniform acceleration. We show that the entanglement…

General Relativity and Quantum Cosmology · Physics 2026-05-26 Shu-Min Wu , Si-Han Shang , Si-Yu Liu , Rui-Yang Xu , Qianqian Liu , Xiao-Li Huang

We investigate the thermodynamic and observational implications for the charged torus-like black holes, a class of solutions distinct from the classical Schwarzschild black holes. We explicitly derive the fundamental thermodynamic…

High Energy Physics - Theory · Physics 2026-02-27 Usman Zafar , Kazuharu Bamba , Abdul Jawad , Tabinda Rasheed , Sanjar Shaymatov

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

One of the pronounced characteristics of gravity, distinct from other interactions, is that there are no local observables which are independent of the choice of the spacetime coordinates. This property acquires crucial importance in the…

High Energy Physics - Theory · Physics 2019-07-02 Kanato Goto , Yoichi Kazama

The goal of quantum metrology is the exploitation of quantum resources, like entanglement or quantum coherence, in the fundamental task of parameter estimation. Here we consider the question of the estimation of the Unruh temperature in the…

Quantum Physics · Physics 2020-01-27 Danilo Borim , Lucas C. Céleri , Vasileios I. Kiosses

We use the Legendre invariant formalism of geometrothermodynamics to investigate the geometric properties of the equilibrium space of a spherically symmetric phantom black hole with electric charge and dilaton. We find that at certain…

General Relativity and Quantum Cosmology · Physics 2016-08-24 H. Quevedo , M. N. Quevedo , A. Sanchez

We consider a microscopic model of spacetime, where spacetime is assumed to be a specific graph with Planck size quantum black holes on its vertices. As a thermodynamical system under consideration we take a certain uniformly accelerating,…

General Relativity and Quantum Cosmology · Physics 2008-10-28 Jarmo Makela

We study the formation of topological defects in nonequilibrium phase transitions of both classical and quantum field theory. We examine three model systems. 1). The phase transition of a quantum scalar field in a FRW universe is analyzed…

High Energy Physics - Phenomenology · Physics 2007-05-23 G. J. Stephens

We investigate the thermodynamic geometries of the most general static, spherically symmetric, topological black holes of the Ho\v{r}ava--Lifshitz gravity. In particular, we show that a Legendre invariant metric derived in the context of…

High Energy Physics - Theory · Physics 2015-05-27 Hernando Quevedo , Alberto Sanchez , Safia Taj , Alejandro Vazquez

Analytic approximations for the stress-energy of quantized fields in the Hartle-Hawking state in static black hole spacetimes predict divergences on the event horizon of the black hole for a number of important cases. Such divergences, if…

General Relativity and Quantum Cosmology · Physics 2016-11-15 Paul R. Anderson , Mathew Binkley , Hector Calderon , William A. Hiscock , Emil Mottola , Ruslan Vaulin

We consider the entanglement dynamics between two Unruh-DeWitt detectors at rest separated at a distance $d$. This simple model when analyzed properly in quantum field theory shows many interesting facets and helps to dispel some…

Quantum Physics · Physics 2010-04-15 Shih-Yuin Lin , B. L. Hu

We discuss quantum inequalities for minimally coupled scalar fields in static spacetimes. These are inequalities which place limits on the magnitude and duration of negative energy densities. We derive a general expression for the quantum…

General Relativity and Quantum Cosmology · Physics 2016-08-25 Michael J. Pfenning , L. H. Ford

We estimate the transition rates of a uniformly accelerated Unruh-DeWitt detector coupled to a quantum field with reflecting conditions on a boundary plane (a "mirror"). We find that these are essentially indistinguishable from the usual…

General Relativity and Quantum Cosmology · Physics 2012-08-27 Carlo Rovelli , Matteo Smerlak

In this study, we investigate a pair of detectors operating in Minkowski space-time and analyze the characteristics of various quantum resources within this framework. Specifically, we focus on examining the properties of Bell nonlocality,…

High Energy Physics - Theory · Physics 2026-02-10 Yu-Kun Zhang , Tariq Aziz , Li-Juan Li , Xue-Ke Song , Liu Ye , Dong Wang