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We investigate which are the independent equations of continuum electrodynamics and what is their number, beginning with the standard equations used in special and in general relativity. We check by using differential identities that there…

General Physics · Physics 2018-10-15 Mayeul Arminjon

The well known relation of Einstein relativistic energy for a free particle is extended to cover the total relativistic energy of a bound particle by calculating the relativistic potential energy. A non dissipative harmonic oscillator…

Quantum Physics · Physics 2022-03-07 J. Jahanpanah

The variation of the energy for a gravitational system is directly defined from the Hamiltonian field equations of General Relativity. When the variation of the energy is written in a covariant form it splits into two (covariant)…

General Relativity and Quantum Cosmology · Physics 2009-11-10 M. Francaviglia , M. Raiteri

In General Relativity, there have been many proposals for defining the gravitational energy density, notably those proposed by Einstein, Tolman, Landau and Lifshitz, Papapetrou, M{\o}ller, and Weinberg. In this review, we firstly explored…

General Relativity and Quantum Cosmology · Physics 2022-08-12 Salvatore Capozziello , Maurizio Capriolo , Gaetano Lambiase

In this paper, we evaluate energy and momentum density distributions for the Weyl metric by using the well-known prescriptions of Einstein, Landau-Lifshitz, Papaterou and M$\ddot{o}$ller. The metric under consideration is the static…

General Relativity and Quantum Cosmology · Physics 2009-11-11 M. Sharif , Tasnim Fatima

This work concerns the loss of energy of a material system due to gravitational radiation in Einstein-aether theory-an alternative theory of gravity in which the metric couples to a dynamical, timelike, unit-norm vector field. Derived to…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Brendan Z. Foster

We investigate the quantum thermodynamical properties of localised relativistic quantum fields, and how they can be used as quantum thermal machines. We study the efficiency and power of energy transfer between the classical gravitational…

Quantum Physics · Physics 2021-12-28 David Edward Bruschi , Benjamin Morris , Ivette Fuentes

Transformation equations for the kinetic energy of a tardyon are derived in the limits of classical and of special relativity theory. Two formulas are presented. In the first one the energy of the particle in one of the involved reference…

General Physics · Physics 2011-11-10 Bernhard Rothenstein , Doru Paunescu

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

The Euclidean Schwarzschild-de Sitter geometry may be considered as an extremum of two different action principles. If the thermodynamical parameters are held fixed at the cosmological horizon, one deals with the gravitational…

High Energy Physics - Theory · Physics 2007-05-23 Claudio Teitelboim

In this work we study the quasilocal energy as in [11] for a constant radius surface in Kerr spacetime in Boyer-Lindquist coordinates. We show that under suitable conditions for isometric embedding, for a stationary observer the quasilocal…

General Relativity and Quantum Cosmology · Physics 2016-02-08 Jian-Liang Liu , Luen-Fai Tam

It is possible to provide a physical interpretation for the field equations of gravity based on a thermodynamical perspective. The virtual degrees of freedom associated with the horizons perceived by the local Rindler observers, play a…

General Relativity and Quantum Cosmology · Physics 2010-05-12 T. Padmanabhan

A theory of thermohydrodynamics in two-dimensional electron systems in quantizing magnetic fields is developed including a nonlinear transport regime. Spatio-temporal variations of the electron temperature and the chemical potential in the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Hiroshi Akera , Hidekatsu Suzuura

We provide arguments indicating that the semiclassical Einstein equations follow from quantum relative entropy and its proportionality to an area variation. Using modular theory, we establish that the relative entropy between the vacuum…

High Energy Physics - Theory · Physics 2026-03-04 Philipp Dorau , Albert Much

The perturbative expansion introduced by Zwanzig [R. W. Zwanzig, J. Chem. Phys. {\bf 22}, 1420 (1954)] expresses the difference in Helmholtz free energy between a system of interest and that of a reference system as series of cumulants…

Computational Physics · Physics 2020-10-01 C. W. Greeff

The rates at which energy and particle densities move to equalize arbitrarily large temperature and chemical potential differences in an isolated quantum system have an emergent thermodynamical description whenever energy or particle…

Strongly Correlated Electrons · Physics 2015-12-31 Romain Vasseur , Christoph Karrasch , Joel E. Moore

A framework for relativistic thermodynamics and statistical physics is built by first exploiting the symmetries between energy and momentum in the derivation of the Boltzmann distribution, then using Einstein's energy-momentum relationship…

Statistical Mechanics · Physics 2020-07-09 Alexander Taskov

We perform direct numerical simulations of quasi-static magnetohydrodynamic turbulence, and compute various energy transfers including the ring-to-ring and conical energy transfers, and the energy fluxes of the perpendicular and parallel…

Fluid Dynamics · Physics 2014-12-03 K. Sandeep Reddy , Raghwendra Kumar , Mahendra K. Verma

Experiments have reported the entanglement of two spatially separated macroscopic atomic ensembles at room temperature (Krauter et al 2011 Phys. Rev. Lett. 107 080503; Julsgaard et al 2001 Nature 413 400). We show how an…

Quantum Physics · Physics 2013-10-29 Q Y He , M D Reid

A general formalism for understanding the thermodynamics of horizons in spherically symmetric spacetimes is developed. The formalism reproduces known results in the case of black hole spacetimes. But its power lies in being able to handle…

General Relativity and Quantum Cosmology · Physics 2010-11-19 T. Padmanabhan