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Conformal matter collineations of the energy-momentum tensor for a general spherically symmetric static spacetime are studied. The general form of these collineations is found when the energy-momentum tensor is non-degenerate, and the…

General Relativity and Quantum Cosmology · Physics 2022-09-27 Ugur Camci , Khalid Saifullah

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

To study the coupling system of space-time and Fermions, we need the explicit form of the energy-momentum tensor of spinors. The energy-momentum tensor is closely related to the tetrad frames which cannot be uniquely determined by the…

General Relativity and Quantum Cosmology · Physics 2017-12-08 Ying-Qiu Gu

The search for the gravitational energy-momentum tensor is often qualified as an attempt of looking for ``the right answer to the wrong question''. This position does not seem convincing to us. We think that we have found the right answer…

General Relativity and Quantum Cosmology · Physics 2009-10-31 S V Babak , L P Grishchuk

A formulation of linearized gravity in flat background, based on the Fierz tensor as a counterpart of the electromagnetic field strength, is discussed in detail and used to study fundamental properties of the linearized gravitational field.…

General Relativity and Quantum Cosmology · Physics 2022-03-30 Gabor Zsolt Toth

We construct for the first time an energy-momentum tensor for the electromagnetic field of a p-brane in arbitrary dimensions, entailing finite energy-momentum integrals. The construction relies on distribution theory and is based on a…

High Energy Physics - Theory · Physics 2011-01-27 Kurt Lechner

In this tutorial, we provide the natural derivation of symmetrical, gauge-invariant canonical energy-momentum tensor for the abelian gauge field, i.e., the electromagnetic field.

Classical Physics · Physics 2025-03-20 Peir-Ru Wang , Yen-Cheng Chang

Quasi-constant external fields in nonlinear electromagnetism generate a contribution to the energy-momentum tensor with the form of dark energy. To provide a thorough understanding of the origin and strength of the effects, we undertake a…

High Energy Physics - Theory · Physics 2010-04-14 Lance Labun , Johann Rafelski

A Noether-enhanced Legendre transformation from Lagrange densities to energy-momentum tensors is developed into an alternative framework for formulating classical field equations. This approach offers direct access to the Hamiltonian while…

General Physics · Physics 2019-02-21 Hans Christian Öttinger

The lecture explains the geometric basis for the recently-discovered nonholonomic mapping principle which specifies certain laws of nature in spacetimes with curvature and torsion from those in flat spacetime, thus replacing and extending…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Hagen Kleinert

The action of tensionless spinning string invariant under reparametrizions, both local supersymmetry and dilatations, is considered. The density of energy-momentum tensor is constructed and vanishing of its covariant divergence is proved.…

High Energy Physics - Theory · Physics 2026-01-21 A. A/ Zheltukhin

We recently developed a local description of the energy, momentum and angular momentum carried by the linearized gravitational field, wherein the gravitational energy-momentum tensor displays positive energy-density and causal energy-flux,…

General Relativity and Quantum Cosmology · Physics 2012-10-03 Luke M. Butcher , Michael Hobson , Anthony Lasenby

The Standard Model of elementary particle physics is one of the most successful models of contemporary physics, its predictions being in full agreement with experiments. In this manuscript we consider the Lagrangian of the Standard Model as…

Differential Geometry · Mathematics 2026-05-12 Volker Branding , Adam Lindström , Marko Sobak

We study the classical electrodynamics of extended bodies. Currently, there is no self-consistent dynamical theory of such bodies in the literature. Electromagnetic energy-momentum is not conserved in the presence of charge and some…

Classical Physics · Physics 2021-09-14 P. D. Flammer

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…

Classical Physics · Physics 2011-11-11 A. L. Kholmetskii , O. V. Missevitch , T. Yarman

General relativity and its extensions including torsion identify stress energy momentum as being proportional to the Einstein tensor, thus ensuring both symmetry and conservation. Here we visualize stress energy and momentum by identifying…

General Relativity and Quantum Cosmology · Physics 2025-02-26 Adam Marsh

As a contribution towards the understanding for the field equations of diffeomorphism invariant theories of pure gravity, we demonstrate in great detail that the expression for the field equations of such theories can be derived within the…

General Relativity and Quantum Cosmology · Physics 2025-12-30 Jun-Jin Peng

Starting from covariant expressions, a gauge independent separation of orbital and spin angular momentum for electrodynamics is presented. This results from the non-symmetric canonical energy momentum tensor of the electromagnetic field.…

Optics · Physics 2017-06-27 Richard T. Hammond

We investigate matter symmetries of cylindrically symmetric static spacetimes. These are classified for both cases when the energy-momentum tensor is non-degenerate and also when it is degenerate. It is found that the non-degenerate…

General Relativity and Quantum Cosmology · Physics 2015-06-25 M. Sharif

From the constructions of the quantum spacetime, a four dimensional quantized spacetime can be embedded in a five dimensional continuous spacetime. Thus to observe from the five dimensional continuous spacetime where the four dimensional…

High Energy Physics - Theory · Physics 2007-11-01 Zheng Ze Ma
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