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A new tensor $D$ is introduced which is constructed from the Lanczos potential and is of the same form as that of the Weyl tensor $C$ expressed in terms of the Lanczos potential except that covariant differentiation is replaced by…

General Relativity and Quantum Cosmology · Physics 2008-08-13 Mark D. Roberts

The invariant projections of the energy-momentum tensors of Lagrangian densities for tensor fields over differentiable manifolds with contravariant and covariant affine connections and metrics [$(\bar{L}_n,g)$-spaces] are found by the use…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Sawa Manoff , Rumyan Lazov

Moller's tetrad gravitational energy-momentum "tensor" is evaluated for a small vacuum region using an orthonormal frame adapted to Riemann normal coordinates. We find that it does satisfy the highly desired property of being a positive…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Lau Loi So , James M. Nester

We prove the linear stability of subextremal Reissner-Nordstr\"om spacetimes as solutions to the Einstein-Maxwell equation. We make use of a novel representation of gauge-invariant quantities which satisfy a symmetric system of coupled wave…

General Relativity and Quantum Cosmology · Physics 2021-11-29 Elena Giorgi

In the lowest nonlinear approximation I compare two gravitational wave equations,- those of Weinberg and Papapetrou. The first one is simply a form of Einstein equation and the second is claimed to be yet another field theoretical form in…

General Relativity and Quantum Cosmology · Physics 2016-08-31 A. I. Nikishov

We study scalar cosmological perturbations in $f(R, T)$ modified gravity theories being $T$ the trace of the energy-momentum tensor. We provide detailed equations for the matter energy density contrast. We solve then numerically to promote…

General Relativity and Quantum Cosmology · Physics 2024-08-28 Jonas Pinheiro da Silva , Hermano Velten

We investigate the possibility of Lorentz and CPT violations in the photon sector, of the Chern-Simons form, be induced by radiative corrections arising from the Lorentz and CPT non-invariant fermionic sector of an extended version of QED.…

High Energy Physics - Theory · Physics 2011-07-19 O. A. Battistel , G. Dallabona

Motivated by ultra-high-energy cosmic ray physics, we discuss all the possible alternatives to the familiar Lorentz transformations of the momentum and the energy of a particle. Starting from natural physical requirements, we exclude all…

High Energy Physics - Theory · Physics 2009-11-10 M. Toller

We describe gauge theories which allow to retrieve a large class of gravitational theories, including, MacDowell-Mansouri gravity and its topological extension to Loop Quantum Gravity via the Pontrjagin characteristic class involving the…

General Relativity and Quantum Cosmology · Physics 2026-01-07 J. Thibaut , S. Lazzarini

The canonical energy-momentum tensor is often considered as a purely academic object because of its gauge dependence. However, it has recently been realized that canonical quantities can in fact be defined in a gauge-invariant way provided…

High Energy Physics - Phenomenology · Physics 2016-04-20 Cédric Lorcé

Static spherically-symmetric matter distributions whose energy-momentum tensor is characterized by a non-negative trace are studied analytically within the framework of general relativity. We prove that such field configurations are…

General Relativity and Quantum Cosmology · Physics 2015-06-23 Shahar Hod

We derive the affine tensor associated with the energy and momentum densities of both gravitational and matter fields, the complex pseudo-tensor, for $f(Q)$ non-metric gravity, the straightforward extension of Symmetric Teleparallel…

General Relativity and Quantum Cosmology · Physics 2026-02-25 Salvatore Capozziello , Maurizio Capriolo , Gaetano Lambiase

A previous evaluation of one-photon loop corrections to the energy-momentum tensor has been extended to particles with unit spin and speculations are presented concerning general properties of such forms.

General Relativity and Quantum Cosmology · Physics 2013-05-29 Barry R. Holstein

We consider relativistic fluid flow under Chern-Simons modified Maxwell theory and under Chern-Simons modified gravity theory. We take account of the effects of Chern-Simons corrections on the quantities of fluid flow that are conserved…

General Relativity and Quantum Cosmology · Physics 2014-11-21 Kohkichi Konno , Toyoki Matsuyama , Satoshi Tanda

We study two different possibilities of constructing the energy-momentum tensors for non-commutative Abelian Proca field, by using (i) general Noether theorem and (ii) coupling to a weak external gravitational field. Both energy-momentum…

High Energy Physics - Theory · Physics 2014-04-01 F. Darabi , F. Naderi

In this work, we present a review of Energy-Momentum Squared Gravity (EMSG) -- more specifically, $f(R,T_{\mu\nu}T^{\mu\nu})$ gravity, where $R$ represents the Ricci scalar and $T_{\mu\nu}$ denotes the energy-momentum tensor. The inclusion…

General Relativity and Quantum Cosmology · Physics 2024-08-27 Ricardo A. C. Cipriano , Nailya Ganiyeva , Tiberiu Harko , Francisco S. N. Lobo , Miguel A. S. Pinto , João Luís Rosa

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…

General Relativity and Quantum Cosmology · Physics 2007-05-23 J. G. Pereira , C. M. Zhang

In this brief review we explicitly calculate the radiative corrections to the Chern-Simons-like term in the cases of zero and finite temperature, and in the gravity theory. Our results are obtained under the general guidance of dimensional…

High Energy Physics - Theory · Physics 2015-06-26 T. Mariz , J. R. Nascimento , E. Passos

We prove a conjectured relation between the energy-momentum and the displacement norm of superconformal defects. The proof completes earlier results, and shows that supersymmetry identifies two natural notions of brane tension in Anti-de…

High Energy Physics - Theory · Physics 2025-03-18 Constantin Bachas , Lorenzo Bianchi , Zhongwu Chen

We examine the nonperturbative structure of the radiatively induced Chern-Simons term in a Lorentz- and CPT-violating modification of QED. Although the coefficient of the induced Chern-Simons term is in general undetermined, the…

High Energy Physics - Theory · Physics 2007-05-23 B. Altschul
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