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We clarify the relation among canonical, metric and Belinfante's energy-momentum tensors for general tensor field theories. For any tensor field T, we define a new tensor field $\til {\bm T}$, in terms of which the Belinfante tensor is…

数学物理 · 物理学 2016-08-16 Ricardo E. Gamboa Saraví

We show that any generally covariant coupling of matter fields to gravity gives rise to a conserved, on-shell symmetric energy-momentum tensor equivalent to the canonical energy-momentum tensor of the flat-space theory. For matter fields…

高能物理 - 理论 · 物理学 2020-07-03 Vadim Borokhov

General classical theories of material fields in an arbitrary Riemann-Cartan space are considered. For these theories, with the help of equations of balance, new non-trivially generalized, manifestly generally covariant expressions for…

广义相对论与量子宇宙学 · 物理学 2014-03-10 Robert R. Lompay

We show the point-wise definiteness and some other properties of the energy-momentum tensor for a certain class of Euler-Lagrange equations under quite general conditions.

数学物理 · 物理学 2013-06-04 Kurt Pagani

There are various formulations of energy--momentum tensors for an electromagnetic field in a linear dielectric. The total energy--momentum tensor, comprised of electromagnetic and material components, must be unique. We discuss the…

光学 · 物理学 2017-11-07 Michael E. Crenshaw

In the framework of the teleparallel equivalent of general relativity it is possible to establish the energy-momentum tensor of the gravitational field. This tensor has the following essential features: (1) it is identified directly in…

广义相对论与量子宇宙学 · 物理学 2008-11-26 J. W. Maluf

We give an introduction to, and review of, the energy-momentum tensors in classical gauge field theories in Minkowski space, and to some extent also in curved space-time. For the canonical energy-momentum tensor of non-Abelian gauge fields…

高能物理 - 理论 · 物理学 2016-11-21 Daniel N. Blaschke , Francois Gieres , Meril Reboud , Manfred Schweda

We investigate whether the requirement of total energy-momentum conservation can act as a constraint on the family of admissible Lagrangian densities for an interaction field. The aim is not to give a mere field-theoretic derivation of…

广义相对论与量子宇宙学 · 物理学 2026-05-25 Satoshi Nakajima , Antonio López-Pinto

In the article {\it Gen. Rel. Grav.} {\bf 32}, 1633 (2000), by J. G. Pereira and C. M. Zhang, the special relativity energy-momentum tensor was used to discuss the neutrino phase-splitting in a weak gravitational field. However, it would be…

广义相对论与量子宇宙学 · 物理学 2007-05-23 J. G. Pereira , C. M. Zhang

We provide for the first time a complete parametrization for the matrix elements of the generic asymmetric, non-local and gauge-invariant canonical energy-momentum tensor, generalizing therefore former works on the symmetric, local and…

高能物理 - 唯象学 · 物理学 2015-09-30 Cédric Lorcé

This paper focuses on the basic system of a field and a particle in interaction and provides a single, unified derivation of the energy-momentum tensors for both the field and the particle. This derivation contrasts with the usual approach…

经典物理 · 物理学 2019-11-26 Roderick Sutherland

Several energy-momentum "tensors" of gravitational field are considered and compared in the lowest approximation. Each of them together with energy-momentum tensor of point-like particles satisfies the conservation laws when equations of…

广义相对论与量子宇宙学 · 物理学 2007-05-23 A. I. Nikishov

A consistent variational derivation of the Majorana 4-spinor field equations coupled to Einstein's theory of gravitation is given. The equivalence of the first and the second order variational field equations is explicitly demonstrated. The…

广义相对论与量子宇宙学 · 物理学 2022-09-23 Tekin Dereli , Yorgo Senikoglu

The field theoretical description of the general relativity (GR) is further developed. The action for the gravitational field and its sources is given explicitely. The equations of motion and the energy-momentum tensor for the gravitational…

广义相对论与量子宇宙学 · 物理学 2007-05-23 S. V. Babak , L. P. Grishchuk

We consider the Einstein equation, where the common electromagnetic energy momentum tensor is replaced by its generalized equivalent as suggested in our earlier paper (A.L. Kholmetskii et al. Phys. Scr. 83, 055406 (2011)). Now we show that…

经典物理 · 物理学 2011-11-11 A. L. Kholmetskii , O. V. Missevitch , T. Yarman

Let X be a smooth manifold of dimension 1+n endowed with a lorentzian metric g, and let T be the electromagnetic energy tensor associated to a 2-form F. In this paper we characterize this tensor T as the only 2-covariant natural tensor…

广义相对论与量子宇宙学 · 物理学 2012-10-23 J. Navarro , J. B. Sancho

We revisit the old problem of the energy-momentum tensor in general relativistic field theories. On the basis of the general covariance we derive a simple equation for the Hilbert and Noether energy-momentum tensors for the scalar and…

广义相对论与量子宇宙学 · 物理学 2024-05-01 Akio Hosoya , Shunsuke Fujii

In a recent letter we show that for an isolated system with a non symmetric energy momentum tensor the usual forms of the center of mass motion theorem are not valid. This was illustrated with a particular configuration of a magnet and a…

高能物理 - 理论 · 物理学 2014-04-15 Rodrigo Medina , J. Stephany

By using variational calculus and exterior derivative formalism, we proposed in two previous joint papers with S. Siparov a new geometric approach for electromagnetism in pseudo-Finsler spaces. In the present paper, we provide more details,…

数学物理 · 物理学 2011-11-15 Nicoleta Voicu

A symmetric and conserved energy-momentum tensor for a scalar field in a moving medium is derived using the Gordon metric. When applied to an electromagnetic field, the method gives a similar result. This approach thus points a way out of…

广义相对论与量子宇宙学 · 物理学 2015-05-28 Finn Ravndal
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