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The Abraham--Minkowski momentum controversy is the outwardly visible symptom of an inconsistency in the use of the energy-momentum tensor in the case of a plane quasimonochromatic field in a simple linear dielectric. We show that the Gordon…

Classical Physics · Physics 2012-11-09 Michael E. Crenshaw

We consider Bondi's radiating metric in the context of the teleparallel equivalent of general relativity (TEGR). This metric describes the asymptotic form of a radiating solution of Einstein's equations. The total gravitational energy for…

General Relativity and Quantum Cosmology · Physics 2015-06-25 J. W. Maluf , J. F. da Rocha-Neto

This article presents an analysis of regular rotating black hole solutions within the framework of Teleparallel Equivalent to General Relativity (TEGR). The study evaluates the total energy and derives an analytical expression for the…

General Relativity and Quantum Cosmology · Physics 2024-05-10 F. L. Carneiro , S. C. Ulhoa , J. F. da Rocha-Neto , J. W. Maluf

In the framework of the teleparallel equivalent of general relativity the energy density of asymptoticaly flat gravitational fields can be naturally and unambiguously defined. Upon integration of the energy density over the whole three…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Jose W. Maluf

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 4-index energy-momentum tensors for gravitation and matter are analyzed on the basis of new equations for the gravitational field with the Riemann tensor. Some properties of the such defined gravitational energy are discussed.

General Relativity and Quantum Cosmology · Physics 2012-10-09 Zahid Zakir

We give two classes of spherically symmetric exact solutions of the couple gravitational and electromagnetic fields with charged source in the tetrad theory of gravitation. The first solution depends on an arbitrary function $H({R},t)$. The…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Gamal G. L. Nashed , Takeshi Shirafuji

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

By embedding Einstein's original formulation of GR into a broader context we show that a dynamic covariant description of gravitational stress-energy emerges naturally from a variational principle. A tensor $T^G$ is constructed from a…

High Energy Physics - Theory · Physics 2009-11-10 T. Dereli , R. W. Tucker

In this work we use the theory of Teleparallelism Equivalent to General Relativity based in non-commutative space-time coordinates. In this context, we write the corrections of the Schwarzschild solution. As a important result, we find the…

General Relativity and Quantum Cosmology · Physics 2013-12-06 S. C. Ulhoa , R. G. G. Amorim

Determinants of the second-rank tensors stand useful in forming generally invariant terms as in the case of the volume element of the gravitational actions. Here, we extend the action of the matter fields by an arbitrary function $f(D)$ of…

General Relativity and Quantum Cosmology · Physics 2023-01-04 Hemza Azri , Salah Nasri

Original abstract: Consider the worldline of a charged particle in a static spacetime. Contraction of the time-translation Killing field with the retarded electromagnetic energy-momentum tensor gives a conserved electromagnetic energy…

General Relativity and Quantum Cosmology · Physics 2008-02-03 Stephen Parrott

In General Relativity, there have been many proposals for defining the gravitational energy density, notably those proposed by Einstein, Tolman, Landau and Lifshitz, Papapetrou, M{\o}ller, and Weinberg. In this review, we firstly explored…

General Relativity and Quantum Cosmology · Physics 2022-08-12 Salvatore Capozziello , Maurizio Capriolo , Gaetano Lambiase

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

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

An exact solution has an axial symmetry is obtained in the teleparallel theory of gravitation. The associated metric has the structure function G(xi)=1-xi^2-2mA(xi)^3. The cubic nature of the structure function can make calculations…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Gamal G. L. Nashed

We study the energy-momentum tensor and helicity of gauge fields coupled through $g \phi F \tilde{F}/4$ to a pseudo-scalar field $\phi$ driving inflation. Under the assumption of a constant time derivative of the background inflaton, we…

General Relativity and Quantum Cosmology · Physics 2022-01-19 M. Ballardini , M. Braglia , F. Finelli , G. Marozzi , A. A. Starobinsky

We revisit in the framework of the classical theory the problem of the accelerated motion of an electron, taking into account the effect of the radiation emission. We present results for the momentum and energy of the electromagnetic field…

Classical Physics · Physics 2018-11-21 Mihai Dondera

We consider a Casimir apparatus consisting of two perfectly conducting parallel plates, subject to the weak gravitational field of the Earth. The aim of this paper is the calculation of the energy-momentum tensor of this system for a free,…

High Energy Physics - Theory · Physics 2008-11-26 George M. Napolitano , Giampiero Esposito , Luigi Rosa

In this paper, we find the energy-momentum distribution of stationary axisymmetric spacetimes in the context of teleparallel theory by using M$\ddot{o}$ller prescription. The metric under consideration is the generalization of the Weyl…

General Relativity and Quantum Cosmology · Physics 2009-02-12 M. Sharif , M Jamil Amir