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The study of thermodynamics in the view of the Hamiltonian approach is a newest tool to analyze the thermodynamic properties of the black holes. In this letter, we investigate the thermodynamics of $d$-dimensional ($d>3$) asymptotically…

General Relativity and Quantum Cosmology · Physics 2019-05-22 Amritendu Haldar , Ritabrata Biswas

We investigate the thermodynamic properties of the Hayward regular black hole using both Euclidean path integral and Hamiltonian methods, in asymptotically anti-de Sitter, Minkowski, and de Sitter spacetimes. With the inclusion of matter…

General Relativity and Quantum Cosmology · Physics 2024-03-04 Fil Simovic , Ioannis Soranidis

The temperature associated with gravitation as presented in the Unruh effect and Hawking temperature serves to link different areas of physics, such as gravity, statistical mechanics, and quantum physics. In this paper, teleparallel gravity…

General Relativity and Quantum Cosmology · Physics 2021-05-19 A. F. Santos , S. C. Ulhoa , T. F. Furtado , Faqir C. Khanna

We investigate the quantum dynamics of a charged scalar field in the near-horizon region of a near-extremal charged BTZ black hole. A controlled expansion of the Einstein-Maxwell equations reveals an emergent warped AdS$_2 \times S^1$…

High Energy Physics - Theory · Physics 2025-05-26 Mendrit Latifi , Kimet Jusufi

We solve the Klein-Gordon equation for a scalar field, in the background geometry of a dust cloud collapsing to form a black hole, everywhere in the (1+1) spacetime: that is, both inside and outside the event horizon and arbitrarily close…

General Relativity and Quantum Cosmology · Physics 2015-07-07 Sumanta Chakraborty , Suprit Singh , T. Padmanabhan

We study the Casimir-Polder force arising between two identical two-level atoms and mediated by a massless scalar field propagating in a black-hole background. We study the interplay of Hawking radiation and Casimir-Polder forces and find…

General Relativity and Quantum Cosmology · Physics 2017-04-21 Gabriel Menezes , Claus Kiefer , Jamir Marino

This work mainly focuses on the nonlinear Einstein-Euler-Heisenberg theory and its applications from various aspects. Firstly, thermodynamic variables are analytically determined via Smarr formula for a four dimensional spherically…

General Relativity and Quantum Cosmology · Physics 2025-07-14 Huriye Gürsel , Mert Mangut , Erdem Sucu

We review the relation between AdS spacetime in 1+2 dimensions and the BTZ black hole. Later we show that a ground state in AdS spacetime becomes a thermal state in the BTZ black hole. We show that this is true in the bulk and in the…

High Energy Physics - Theory · Physics 2015-05-30 L. Ortíz

We investigate the thermodynamical properties of black holes in (3+1) and (2+1) dimensional Einstein gravity with a negative cosmological constant. In each case, the thermodynamic internal energy is computed for a finite spatial region that…

General Relativity and Quantum Cosmology · Physics 2009-10-22 J. D. Brown , J. Creighton , R. B. Mann

Aiming at a unified phase transition picture of the charged topological black hole in Ho\v{r}ava-Lifshitz gravity, we investigate this issue not only in canonical ensemble with the fixed charge case but also in grand-canonical ensemble with…

General Relativity and Quantum Cosmology · Physics 2014-04-10 Jie-Xiong Mo , Xiao-Xiong Zeng , Gu-Qiang Li , Xin Jiang , Wen-Biao Liu

In this paper we continue the study of the physical consequences of our modified black hole entropy formula in expanding spacetimes. In particular, we apply the new formula to apparent horizons of Friedmann expanding universes with zero,…

High Energy Physics - Theory · Physics 2016-03-08 Stefano Viaggiu

In this paper we analyze an exactly solvable model consisting of an inertial Unruh-DeWitt detector which interacts linearly with a massless quantum field in Minkowski spacetime with a perfectly reflecting flat plane boundary. Firstly a set…

Quantum Physics · Physics 2015-06-12 Rong Zhou , Ryan O. Behunin , Shih-Yuin Lin , B. L. Hu

One of the major open problems in theoretical physics is a consistent quantum gravity theory.Recent developments in thermodynamic phase transitions ofblack holes and their van der Waals-like behavior may provide an interesting quantum…

General Relativity and Quantum Cosmology · Physics 2020-06-26 Seyed Hossein Hendi , Shahram Panahiyan , Behzad Eslam Panah , Mubasher Jamil

Based on the Euclidean approach, we consider the effects of quantum gravity and mass-less matter on the thermodynamic properties of Schwarzschild black hole. The techniques of effective field theory are utilized to analytically construct…

General Relativity and Quantum Cosmology · Physics 2017-08-11 Basem Kamal El-Menoufi

We investigate the thermodynamic properties of 3+1 dimensional black holes in asymptotically de Sitter spacetimes, conformally coupled to a real scalar field. We use a Euclidean action approach, where boundary value data is specified at a…

General Relativity and Quantum Cosmology · Physics 2021-03-17 Fil Simovic , Danny Fusco , Robert B. Mann

We develop a framework based on modern amplitude techniques to analyze emission and absorption effects in black hole physics, including Hawking radiation. We first discuss quantum field theory on a Schwarzschild background in the Boulware…

High Energy Physics - Theory · Physics 2026-01-30 Katsuki Aoki , Andrea Cristofoli , Hyun Jeong , Matteo Sergola , Kaho Yoshimura

Thermal Wightman functions of a massless scalar field are studied within the framework of a ``near horizon'' static background model of an extremal R-N black hole. This model is built up by using global Carter-like coordinates over an…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Valter Moretti , Stefan Steidl

The influence functional is derived for a massive scalar field in the ground state, coupled to a uniformly accelerating DeWitt monopole detector in $D+1$ dimensional Minkowski space. This confirms the local nature of the Unruh effect, and…

High Energy Physics - Theory · Physics 2009-10-22 J. R. Anglin

This study explores the thermodynamic and geometric properties of phantom BTZ black holes within a noncommutative spacetime framework, where noncommutativity is implemented through Lorentzian smearing of mass and charge distributions. The…

High Energy Physics - Theory · Physics 2026-02-11 B. Hamil , B. C. Lütfüoğlu

We address the problem of thermodynamic equilibrium with constant acceleration along the velocity field lines in a quantum relativistic statistical mechanics framework. We show that for a free scalar quantum field, after vacuum subtraction,…

General Relativity and Quantum Cosmology · Physics 2018-04-25 F. Becattini
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