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In this paper, we studied the full Einstein-Hilbert actions with respect to non-symmetric metrics and the corresponding torsion. The first concrete result in this paper are the general formulae for pressure and density with respect to the…

Differential Geometry · Mathematics 2019-06-14 Nenad O. Vesić , Dragoljub D Dimitrijević

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…

General Relativity and Quantum Cosmology · Physics 2024-05-01 Akio Hosoya , Shunsuke Fujii

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 equation of…

High Energy Physics - Theory · Physics 2007-05-23 A. I. Nikishov

We compute the expectation value of the energy-momentum tensor of a real scalar field in an approximation which accounts for spacetime gradients of the hydrodynamical variables in local thermodynamical equilibrium. We show that the…

High Energy Physics - Phenomenology · Physics 2025-09-01 Sergii V. Akkelin , Dirk H. Rischke

We calculate the energy-momentum tensor due to electromagnetic vacuum fluctuations between two parallel hyperplanes in more than four dimensions, considering both metallic and MIT boundary conditions. Using the axial gauge, the problem can…

Quantum Physics · Physics 2008-11-26 H. Alnes , K. Olaussen , F. Ravndal , I. K. Wehus

Both in string field theory and in p-adic string theory the equations of motion involve infinite number of time derivatives. We argue that the initial value problem is qualitatively different from that obtained in the limit of many time…

High Energy Physics - Theory · Physics 2009-11-07 Nicolas Moeller , Barton Zwiebach

In field theory on a fibre bundle Y->X, an energy-momentum current is associated to a lift onto Y of a vector field on X. Such a lift by no means is unique, and contains a vertical part. It follows that: (i) there are a set of different…

High Energy Physics - Theory · Physics 2007-05-23 G. Sardanashvily

We propose a gravitational energy-momentum tensor of the general relativity obtained using Noethers theorem. It transforms as a tensor under general coordinate transformations. One of the two indices of the gravitational energy-momentum…

General Relativity and Quantum Cosmology · Physics 2017-01-05 Katsutaro Shimizu

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

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…

Mathematical Physics · Physics 2016-08-16 Ricardo E. Gamboa Saraví

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

We investigate the second-order gravitational scalar perturbations for a barotropic fluid. We derive the effective energy-momentum tensor described by the quadratic terms of the gravitational and the matter perturbations. We show that the…

General Relativity and Quantum Cosmology · Physics 2020-09-09 Inyong Cho , Jinn-Ouk Gong , Seung Hun Oh

We consistently couple simple continuum field theories with fracton excitations to curved spacetime backgrounds. We consider homogeneous and isotropic fracton field theories, with a conserved $U(1)$ charge and dipole moment. Coupling to…

High Energy Physics - Theory · Physics 2022-05-04 Akash Jain , Kristan Jensen

The cosmological constant on a D-brane is analyzed. This D-brane is in the background produced by the p-brane solutions. The energy-momentum tensor in this model has been found and the form of the cosmological constant has been derived.…

High Energy Physics - Theory · Physics 2008-11-26 P. Gusin , J. Warczewski

The mean value of the one-loop energy-momentum tensor in thermal QED with electric-like background that creates particles from vacuum is calculated. The problem differes essentially from calculations of effective actions (similar to that of…

High Energy Physics - Theory · Physics 2008-11-26 S. P. Gavrilov , D. M. Gitman

The literature features many instances of spacetimes containing two black holes held apart by a thin distribution of matter on the axis joining the holes. For all such spacetimes, the Einstein field equations are integrated with an…

General Relativity and Quantum Cosmology · Physics 2021-08-18 Michael LaHaye , Eric Poisson

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

Moeller's energy-momentum complex is employed in order to determine the energy and momentum distributions for a spacetime described by a "generalized Schwarzschild" geometry in (3+1)-dimensions on a noncommutative curved D3-brane in an…

General Relativity and Quantum Cosmology · Physics 2008-11-26 I. Radinschi , Th. Grammenos

In General Relativity, the issue of defining the gravitational energy contained in a given spatial region is still unresolved, except for particular cases of localized objects where the asymptotic flatness holds for a given spacetime. In…

General Relativity and Quantum Cosmology · Physics 2023-06-06 Salvatore Capozziello , Maurizio Capriolo , Gaetano Lambiase

This paper is devoted to the study of matter collineations of plane symmetric spacetimes (for a particular class of spacetimes) when the energy-momentum tensor is non-degenerate. There exists many interesting cases where we obtain proper…

General Relativity and Quantum Cosmology · Physics 2009-02-27 M. Sharif , Nousheen Ilyas
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