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In this note we investigate the first law of thermodynamics of the two-dimensional conformal field theory (CFT) that is dual to black holes. We start from the Cardy formula and get the CFT thermodynamics with minimal reasonable assumptions.…

High Energy Physics - Theory · Physics 2014-08-13 Jia-ju Zhang

We start this paper by concisely rederiving ModMax, which is nothing but the unique nonlinear extension of Maxwell's equations preserving conformal and duality invariance. The merit of this new derivation is its transparency and simplicity…

High Energy Physics - Theory · Physics 2024-09-10 Eloy Ayón-Beato , Daniel Flores-Alfonso , Mokhtar Hassaine

We study nonminimal extensions of Einstein-Maxwell theory with exact electromagnetic duality invariance. Any such theory involves an infinite tower of higher-derivative terms whose computation and summation usually represents a challenging…

High Energy Physics - Theory · Physics 2021-11-17 Pablo A. Cano , Ángel Murcia

We study Einstein's gravity coupled to nonlinear electrodynamics with two parameters in Anti-de Sitter spacetime. Magnetically charged black holes in an extended phase space is investigated. We obtain the mass and metric functions, their…

General Physics · Physics 2024-08-09 S. I. Kruglov

The possibility that QED and recently developed non-Hermitian, or magnetic, versions of QED are equivalent is considered. Under this duality the Hamiltonians and anomalous axial currents of the two theories are identified. A consequence of…

High Energy Physics - Theory · Physics 2009-09-10 Chris Ford

With the usual definitions for the entropy and the temperature associated with the apparent horizon, we show that the unified first law on the apparent horizon is equivalent to the Friedmann equation for the scalar--tensor theory with…

General Relativity and Quantum Cosmology · Physics 2015-07-31 Yumei Huang , Yungui Gong , Dicong Liang , Zhu Yi

The conformal thermodynamics of rotating charged black holes in general relativity and string theory is proposed by considering the first laws of thermodynamics for a pair of systems made up of the two horizons of a Kerr-Newman or Kerr-Sen…

High Energy Physics - Theory · Physics 2007-05-23 Shuang-Qing Wu

We argue that the definition of the thermodynamic work done on a charged particle by a time-dependent electromagnetic field is an open problem, because the particle's Hamiltonian is not gauge-invariant. The solution of this problem demands…

Statistical Mechanics · Physics 2016-06-29 A. E. Allahverdyan , S. G. Babajanyan

First, I present two new classes of magnetic rotating solutions in four-dimensional Einstein-Maxwell-dilaton gravity with Liouville-type potential. The first class of solutions yields a 4-dimensional spacetime with a longitudinal magnetic…

High Energy Physics - Theory · Physics 2009-11-10 M. H. Dehghani

We show that the uniform motion of a homogeneous distribution of electric charge can be stable or unstable depending on its geometry. When the electrodynamic body is perturbed from a state of rest, it starts to perform fast oscillations,…

Classical Physics · Physics 2020-08-11 Álvaro G. López

We generalize the analysis of the asymptotic higher spin symmetries developed in the first three parts of this series by considering the minimal coupling of Einstein Gravity and Yang-Mills theory. We show that there exist symmetry…

High Energy Physics - Theory · Physics 2026-03-30 Nicolas Cresto , Laurent Freidel

We consider cosmology of the recently introduced mimetic matter with higher derivatives (HD). Without HD this system describes irrotational dust - Dark Matter (DM) as we see it on cosmologically large scales. DM particles correspond to the…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Leila Mirzagholi , Alexander Vikman

There has been strong interest in the fate of relativistic symmetries in some quantum spacetimes, also because of its possible relevance for high-precision experimental tests of relativistic properties. However, the main technical results…

High Energy Physics - Theory · Physics 2025-03-03 Giovanni Amelino-Camelia , Giuseppe Fabiano , Domenico Frattulillo

In this paper we study the first law of thermodynamics for the (2+1) dimensional BTZ rotating black hole considering a pair of thermodinamical systems constructed with the two horizons of this solution. We show that these two systems are…

General Relativity and Quantum Cosmology · Physics 2007-10-09 Alexis Larranaga

As in the case of Einstein or Lovelock gravity, the action of quartic quasitopological gravity has not a well-defined variational principle. In this paper, we first introduce a surface term that makes the variation of quartic…

High Energy Physics - Theory · Physics 2013-09-17 A. Bazrafshan , M. H. Dehghani , M. Ghanaatian

This paper is a continuation of the article "The Isotopic Field-Charge Assumption Applied to the Electromagnetic Interaction". It continues the discussion and consequences of the extended Dirac equation in the presence of isotopic mass and…

General Physics · Physics 2018-09-12 György Darvas

It is established that black holes have entropy and behave as thermodynamical systems. Associating entropy to gravitational fields has not remained limited to black holes, necessitating the notion of the second law of thermodynamics in…

High Energy Physics - Theory · Physics 2026-03-26 V. R. Shajiee , M. M. Sheikh-Jabbari

We write down the relevant field equations for a stationary axially symmetric rigidly rotating dust source in such a way that the general solution depends upon the solution of an elliptic equation and upon harmonic functions. Starting with…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Stefano Viaggiu

In three dimensions, we consider the Einstein-Maxwell Lagrangian dressed by a nonminimally coupled scalar field in New Massive Gravity. For this theory, we provide two families of electrically charged Lifshitz black holes where their metric…

High Energy Physics - Theory · Physics 2020-03-31 Moises Bravo-Gaete , María Montserrat Juárez-Aubry

In nonlinear electrodynamics coupled to gravity, regular spherically symmetric electrically charged solutions satisfy the weak energy condition and have obligatory de Sitter centre. By the G\"urses-G\"ursey algorithm they are transformed to…

General Relativity and Quantum Cosmology · Physics 2015-10-07 Irina Dymnikova , Evgeny Galaktionov