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We consider the homogeneous five-vertex model on a rectangle domain of the square lattice with so-called scalar-product boundary conditions. Peculiarity of these boundary conditions is that the configurations of the model are in an…

Mathematical Physics · Physics 2024-06-12 Ivan N. Burenev , Andrei G. Pronko

The Einstein-Hilbert Lagrangian has no well-defined variational derivative with respect to the metric. This issue has to be tackled by adding a suitable surface term to the action, which is a peculiar feature of gravity. We also know that…

General Relativity and Quantum Cosmology · Physics 2020-03-18 Sumanta Chakraborty , T. Padmanabhan

In a (2+1)-dimensional spacetime with a negative cosmological constant, the thermodynamics and the entropy of an extremal rotating thin shell, i.e., an extremal rotating ring, are investigated. The outer and inner regions are taken to be…

High Energy Physics - Theory · Physics 2017-02-23 José P. S. Lemos , Masato Minamitsuji , Oleg B. Zaslavskii

It has been argued that the existence of a zero-point length is the hallmark of quantum gravity. In this letter we suggest a thermal mechanism whereby this quantum of length arises in flat, Euclidean spacetime $\mathbb{R}^d$. For this we…

General Relativity and Quantum Cosmology · Physics 2023-06-06 P. Fernandez de Cordoba , J. M. Isidro , Rudranil Roy

With the recent progress in observations of astrophysical black holes, it has become more important to understand in detail the physics of strongly gravitating horizonless objects. If the objects identified in the observations are indeed…

General Relativity and Quantum Cosmology · Physics 2025-10-28 Ufuk Aydemir , Jing Ren

We work with $N-$dimensional compact real hyperbolic space $X_{\Gamma}$ with universal covering $M$ and fundamental group $\Gamma$. Therefore, $M$ is the symmetric space $G/K$, where $G=SO_1(N,1)$ and $K=SO(N)$ is a maximal compact subgroup…

High Energy Physics - Theory · Physics 2009-11-10 A A Bytsenko , V S Mendes , A C Tort

The entropy of a de Sitter horizon was derived long ago by Gibbons and Hawking via a gravitational partition function. Since there is no boundary at which to define the temperature or energy of the ensemble, the statistical foundation of…

High Energy Physics - Theory · Physics 2022-07-14 Batoul Banihashemi , Ted Jacobson

In blackhole physics, the second law of thermodynamics is generally valid whether the blackhole is a static or a non-static one. Considering the universe as a thermodynamical system the second law of blackhole dynamics extends to the…

General Relativity and Quantum Cosmology · Physics 2011-03-14 Nairwita Mazumder , Subenoy Chakraborty

Axions play a central role in inflationary model building and other cosmological applications. This is mainly due to their flat potential, which is protected by a global shift symmetry. However, quantum gravity is known to break global…

High Energy Physics - Theory · Physics 2017-03-08 Arthur Hebecker , Patrick Mangat , Stefan Theisen , Lukas T. Witkowski

We study the thermodynamic stability of the Kerr-AdS black hole from the perturbative corrections to the gravitational partition function. The line of critical stability is identified by the appearance of a negative mode of the Euclidean…

General Relativity and Quantum Cosmology · Physics 2010-04-14 Ricardo Monteiro , Malcolm J. Perry , Jorge E. Santos

There is a deep link between gravity and thermodynamics; in a precise way gravity can be derived from entanglement entropy in conformal field theories. However, this depends crucially on properties of horizons, and asymptotic symmetries of…

High Energy Physics - Theory · Physics 2025-04-30 Ian Nagle

From the point of view of elementary particle physics the gravitational constant $G$ is extraordinarily small. This has led to ask whether it could have decayed to its present value from an initial one commensurate with microscopical units.…

General Relativity and Quantum Cosmology · Physics 2017-07-26 Claudio Bunster , Andrés Gomberoff

We study numerically gravitational collapse of a spherically symmetric instanton particle in five dimensions. We show that the late stages of the process are characterized by a nearly constant ``free energy'', the value of which matches…

High Energy Physics - Theory · Physics 2008-11-26 Z. Gecse , S. Khlebnikov

In geometrothermodynamics (GTD), to study the geometric properties of the equilibrium space three thermodynamic metrics have been proposed so far. These metrics are obtained by using the condition of Legendre invariance and can be computed…

Mathematical Physics · Physics 2019-08-16 Viridiana Pineda , Hernando Quevedo , Maria N. Quevedo , Alberto Sanchez , Edgar Valdes

The origin of equilibrium gravitational configurations is sought in terms of the stability of their trajectories, as described by the curvature of their Lagrangian configuration manifold. We focus on the case of spherical systems, which are…

Cosmology and Nongalactic Astrophysics · Physics 2012-03-20 Amr El-Zant

Invariance principles determine many key properties in quantum field theory, including, in particular, the appropriate form of the boundary conditions. A crucial consistency check is the proof that the resulting boundary-value problem is…

High Energy Physics - Theory · Physics 2011-04-15 Ivan G. Avramidi , Giampiero Esposito

The sine-Gordon model is a paradigmatic quantum field theory that provides the low-energy effective description of many gapped 1D systems. Despite this fact, its complete thermodynamic description in all its regimes has been lacking. Here…

Strongly Correlated Electrons · Physics 2024-09-27 Botond C. Nagy , Márton Kormos , Gábor Takács

Is it actually possible to interpret gravitation as space's property in a pure classical way. Then, we note that extended self-gravitating system equilibrium depends directly on the number of dimension of the space in which it evolves.…

Astrophysics · Physics 2009-11-11 Jerome Perez

Gravitational physics is arguably better understood in the presence of a negative cosmological constant than a positive one, yet there exist strong technical similarities between the two settings. These similarities can be exploited to…

High Energy Physics - Theory · Physics 2020-10-21 Alice Di Tucci , Michal P. Heller , Jean-Luc Lehners

Self-gravitating systems are expected to reach a statistical equilibrium state either through collisional relaxation or violent collisionless relaxation. However, a maximum entropy state does not always exist and the system may undergo a…

Statistical Mechanics · Physics 2009-11-07 P. H. Chavanis , C. Rosier , C. Sire