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We present a complete resolution of the Abraham-Minkowski controversy . This is done by considering several new aspects which invalidate previous discussions. We show that: 1)For polarized matter the center of mass theorem is no longer…

Classical Physics · Physics 2017-03-09 Rodrigo Medina , J. Stephany

In the framework of classical field theory, we first review the Noether theory of symmetries, with simple rederivations of its essential results, with special emphasis given to the Noether identities for gauge theories. Will this baggage on…

High Energy Physics - Theory · Physics 2015-05-13 Josep M. Pons

Using a conformal version of the Bianchi I metric and a perfect fluid energy-momentum tensor, we show that the resulting Einstein field equations are equivalent to a generalized Ermakov-Milne-Pinney equation. Using a transformation…

General Relativity and Quantum Cosmology · Physics 2008-09-30 Jennie D'Ambroise

We apply the energy-momentum tensor to calculate energy, momentum and angular-momentum of two different tetrad fields. This tensor is coordinate independent of the gravitational field established in the Hamiltonian structure of the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Gamal Gergess Lamee Nashed

We are concerned with the precise modalities by which mathematical constructions related to energy-tensors can be adapted to a tetrad-affine setting. We show that, for fairly general gauge field theories formulated in that setting, two…

General Relativity and Quantum Cosmology · Physics 2018-06-27 Daniel Canarutto

We discuss general properties of the conservation law associated with a local symmetry. Using Noether's theorem and a generalized Belinfante symmetrization procedure in 3+1 dimensions, a symmetric energy-momentum (pseudo) tensor for the…

High Energy Physics - Theory · Physics 2014-11-18 Dongsu Bak , D. Cangemi , R. Jackiw

In a very well-known paper, Virbhadra's research group proved that the Weinberg, Papapetrou, Landau and Lifshitz, and Einstein energy-momentum complexes ``coincide'' for all metrics of Kerr-Schild class. A few years later, Virbhadra…

General Relativity and Quantum Cosmology · Physics 2008-11-26 S. S. Xulu

We reexamine the energy-momentum tensor in classical electrodynamics from the perspective of spacetime-dependent translations, i.e., diffeomorphism invariance in flat spacetime. When energy-momentum is identified through local translations…

High Energy Physics - Theory · Physics 2026-01-26 Taeseung Choi

In the context of the teleparallel equivalent of general relativity, we show that the energy-momentum density for the gravitational field can be described by a true spacetime tensor. It is also invariant under local (gauge) translations of…

General Relativity and Quantum Cosmology · Physics 2007-05-23 V. C. de Andrade , L. C. T. Guillen , J. G. Pereira

The article describes a new approach to obtaining the energy-momentum tensor of electromagnetic field in medium without the use of Maxwell's equations and Poynting theorem. The energy-momentum tensor has new qualities and consequences. Its…

Classical Physics · Physics 2017-04-13 Yurii A. Spirichev

On the basis of a non-local Lagrangian for Maxwell equations in a dispersive medium, the energy-momentum tensor of the field is derived. We obtain the Field equations through variational methods and an extension of Noether theorem for a…

Classical Physics · Physics 2021-05-12 Carlos Heredia , Josep Llosa

A purely algebraic construction of super-energy tensors for arbitrary fields is presented in any dimensions. These tensors have good mathematical and physical properties, and they can be used in any theory having as basic arena an…

General Relativity and Quantum Cosmology · Physics 2009-10-31 J. M. M. Senovilla

In a previous paper, we pointed out how a dimensional analysis of the stress-energy tensor of the gravitational field allows to derive the field equation of General Relativity. In this note, we comment an analogous reasoning in presence of…

General Relativity and Quantum Cosmology · Physics 2011-01-14 J. Navarro , J. B. Sancho

We clarify some issues related to the evaluation of the mean value of the energy-momentum tensor for quantum scalar fields coupled to the dilaton field in two-dimensional gravity. Because of this coupling, the energy-momentum tensor for the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Fernando C. Lombardo , Francisco D. Mazzitelli , Jorge G. Russo

We add an initial nonhomogeneous perturbation to an otherwise homogeneous condensing tachyon background and compute its space time energy-momentum tensor from worldsheet string theory. We show that in the far future the energy-momentum…

High Energy Physics - Theory · Physics 2009-05-15 Niko Jokela , Matti Jarvinen , Esko Keski-Vakkuri

We investigate the connection between stress-energy tensor (SET) arising from Noether's theorem and Belinfante SET which can be obtained as a right-hand side of the Einstein's equation in the flat metric limit. This question is studied in…

General Relativity and Quantum Cosmology · Physics 2018-12-31 R. V. Ilin , S. A. Paston

We derive a generic identity which holds for the metric (i.e. variational) energy-momentum tensor under any field transformation in any generally covariant classical Lagrangian field theory. The identity determines the conditions under…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Guido Magnano , Leszek M. Sokolowski

Weinberg's energy-momentum pseudotensor is obtained for Schwarzschild metric in harmonic coordinates. On the horizon it possesses unintegrable singularities. For this reason the total energy of a collapsar can't be obtained by integrating…

General Relativity and Quantum Cosmology · Physics 2007-05-23 A. I. Nikishov

The energy-momentum tensor of Matrix Theory is derived by computing disk amplitudes with one closed string and an arbitrary number of open strings and by taking the DKPS limit. We clarify its relation to the energy-momentum tensor of the…

High Energy Physics - Theory · Physics 2007-05-23 Yuji Okawa , Hirosi Ooguri

We discuss a puzzle in relativistic spin hydrodynamics; in the previous formulation the spin source from the antisymmetric part of the canonical energy-momentum tensor (EMT) is crucial. The Belinfante improved EMT is pseudo-gauge…

High Energy Physics - Theory · Physics 2021-05-12 Kenji Fukushima , Shi Pu