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For electromagnetic field theories, canonical energy-momentum conservation laws can be derived from the underpinning spacetime translation symmetry according to the Noether procedure. However, the canonical Energy-Momentum Tensors (EMTs)…

Classical Physics · Physics 2021-07-21 Peifeng Fan , Jianyuan Xiao , Hong Qin

The Energy Problem (EP) in General Relativity (GR) is analyzed in the context of GR's axiomatic inconsistencies. EP is classified according to its local and global aspects. The local aspects of the EP include noncovariance of the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Alexander Poltorak

We investigate the energy-momentum balance in the perforating collision of a point particle with an infinitely thin planar domain wall within the linearized gravity in arbitrary dimensions. Since the metric of the wall increases with…

High Energy Physics - Theory · Physics 2015-02-11 D. V. Gal'tsov , E. Yu. Melkumova , P. A. Spirin

The Hilbert energy-momentum tensor for gauge-fixed non-Abelian gauge theories, defined by the variational derivative of the action with respect to the space-time metric, is a tensor under general coordinate transformations, symmetric in its…

High Energy Physics - Theory · Physics 2023-07-05 H. Arthur Weldon

The $f(R,T)$ gravity field equations depend generically on both the Ricci scalar $R$ and trace of the energy-momentum tensor $T$. Within the assumption of perfect fluids, the theory carries an arbitrariness regarding the choice of the…

General Relativity and Quantum Cosmology · Physics 2019-09-04 P. H. R. S. Moraes

In the $\bar{\mbox{\rm Poincar\'{e}}}$ gauge theory of gravity, which has been formulated on the basis of a principal fiber bundle over the space-time manifold having the covering group of the proper orthochronous Poincar\'{e} group as the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Toshiharu Kawai

The energy-momentum conservation laws for general reduced-fluid (e.g., gyrofluid) models are derived by Noether method from a general reduced variational principle. The reduced canonical energy-momentum tensor (which is explicitly…

Plasma Physics · Physics 2015-05-20 Alain J. Brizard

The energy-momentum tensor (EMT) of the proton encodes fundamental information about its mass, pressure, and shear distributions. Using recent lattice QCD data for the gravitational form factors, we show that the Breit-frame Wigner EMT may…

High Energy Physics - Phenomenology · Physics 2025-11-07 Adrian Dumitru , Jorge Noronha

We construct an energy-momentum tensor on the lattice which satisfies the appropriate Ward Identities (WIs) and has the right trace anomaly in the continuum limit. It is defined by imposing suitable WIs associated to the Poincare`…

High Energy Physics - Lattice · Physics 2015-06-17 Leonardo Giusti , Michele Pepe

The obstruction for the existence of an energy momentum tensor for the gravitational field is connected with differential-geometric features of the Riemannian manifold. It has not to be valid for alternative geometrical structures. A…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Yakov Itin

Apart from the familiar structure firmly-rooted in the general relativistic field equations where the energy--momentum tensor has a null divergence i.e., it conserves, there exists a considerable number of extended theories of gravity…

General Relativity and Quantum Cosmology · Physics 2021-02-09 Hermano Velten , Thiago R. P. Caramês

The geometrical spin torque mediates an indirect interaction of magnetic moments, which are weakly exchange coupled to a system of itinerant electrons. It originates from a finite spin-Berry curvature and leads to a non-Hamiltonian…

Strongly Correlated Electrons · Physics 2023-08-01 Nicolas Lenzing , David Krüger , Michael Potthoff

It is shown that different pairs of stress-energy and spin tensors of quantum relativistic fields related by a pseudo-gauge transformation, i.e. differing by a divergence, imply different mean values of physical quantities in…

High Energy Physics - Theory · Physics 2013-05-30 F. Becattini , L. Tinti

In the energy-momentum density expressions for a relativistic perfect fluid with a bulk motion, one comes across a couple of pressure-dependent terms, which though well known, are to an extent, lacking in their conceptual basis and the…

General Physics · Physics 2021-05-13 Ashok K. Singal

We establish a general relation between the canonical energy-momentum tensor of Lagrangian dynamics and the tensor that acts as the source of the gravitational field in Einstein's equations, and we show that there is a discrepancy between…

General Relativity and Quantum Cosmology · Physics 2013-03-01 Hans C. Ohanian

For complete spin initial data sets with an asymptotically anti--de Sitter end, we introduce a charged energy--momentum defined as a linear functional arising from the Einstein--Maxwell constraints. Under a dominant energy condition adapted…

Differential Geometry · Mathematics 2026-01-21 Simon Raulot

We determine the invariant expression of the force density that the electromagnetic field exerts on dipolar matter and construct the non-symmetric energy-momentum tensor of the electromagnetic field in matter which is consistent with that…

Classical Physics · Physics 2017-11-17 Rodrigo Medina , J. Stephany

This paper is devoted to the evaluation of the energy-momentum density components for the Friedmann models. For this purpose, we have used M${\o}$ller's pseudotensor prescription in General Relativity and a certain energy-momentum density…

General Relativity and Quantum Cosmology · Physics 2011-01-27 M. Sharif , M. Jamil Amir

A proposal for the gravitational energy-momentum tensor, known in the literature as the square root of Bel-Robinson tensor, is analyzed in detail. Being constructed exclusively from the Weyl part of the Riemann tensor, such tensor…

General Relativity and Quantum Cosmology · Physics 2018-03-16 Giovanni Acquaviva , David Kofroň , Martin Scholtz

As we know, from the Einstein equations the vanishing of the four-divergence of the (symmetric) energy-momentum tensor follows. This is the case because the fourdivergence of the Einstein tensor (which is also symmetric) vanishes…

General Physics · Physics 2017-12-12 Evangelos Chaliasos