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A theory where the gravitational, Maxwell and Dirac fields (mathematically represented as particular sections of a convenient Clifford bundle) are supposed fields in Faraday's sense living in Minkowski spacetime is presented. In our theory…

数学物理 · 物理学 2016-01-22 Waldyr A. Rodrigues , Samuel Augusto Wainer

This work contains the teleparallel version of the stationary axisymmetric solutions. We obtain the tetrad and the torsion fields representing these solutions. The tensor, vector and axial-vector parts of the torsion tensor are evaluated.…

广义相对论与量子宇宙学 · 物理学 2010-03-18 M. Sharif , M. Jamil Amir

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…

广义相对论与量子宇宙学 · 物理学 2017-12-08 Ying-Qiu Gu

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

In an extended, new form of general relativity, which is a teleparallel theory of gravity, we examine the energy-momentum and angular momentum carried by gravitational wave radiated from Newtonian point masses in a weak-field approximation.…

广义相对论与量子宇宙学 · 物理学 2009-11-07 Eisaku Sakane , Toshiharu Kawai

A framework is developed which quantifies the local exchange of energy and momentum between matter and the linearized gravitational field. We derive the unique gravitational energy-momentum tensor consistent with this description, and find…

广义相对论与量子宇宙学 · 物理学 2010-11-26 Luke M. Butcher , Michael Hobson , Anthony Lasenby

Using a nonlinear electrodynamics coupled to teleparallel theory of gravity, three regular charged spherically symmetric solutions are obtained. The nonlinear theory reduces to the Maxwell one in the weak limit and the solutions correspond…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Gamal G. L. Nashed

We study the dynamical description of gravity, the appropriate definition of the scalar field energy-momentum tensor, and the interrelation between them in scalar-tensor theories of gravity. We show that the quantity which one would naively…

广义相对论与量子宇宙学 · 物理学 2015-06-25 David I. Santiago , Alexander S. Silbergleit

The teleparallel version of Lewis-Papapetrou space-time is investigated. For this space-time the true discussion of the geometric and physical properties is given. We show that the value of space-like torsion-axial vector does not depend on…

广义相对论与量子宇宙学 · 物理学 2020-03-02 A. S. Alofi , Ragab M Gad

The field equation with the cosmological constant term is derived and the energy of the general 4-dimensional stationary axisymmetric spacetime is studied in the context of the hamiltonian formulation of the teleparallel equivalent of…

广义相对论与量子宇宙学 · 物理学 2009-11-11 Shanxian Xu , Jiliang Jing

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…

广义相对论与量子宇宙学 · 物理学 2017-01-05 Katsutaro Shimizu

The total momentum of a thermodynamically closed system is unique, as is the total energy. Nevertheless, there is continuing confusion concerning the correct form of the momentum and the energy-momentum tensor for an electromagnetic field…

光学 · 物理学 2015-02-12 Michael E. Crenshaw , Thomas B. Bahder

We present Hamilton's equations for the teleparallel equivalent of general relativity (TEGR), which is a reformulation of general relativity based on a curvatureless, metric compatible, and torsionful connection. For this, we consider the…

广义相对论与量子宇宙学 · 物理学 2023-03-08 Laxmipriya Pati , Daniel Blixt , Maria-Jose Guzman

The teleparallel versions of the Einstein and the Landau-Lifshitz energy-momentum complexes of the gravitational field are obtained. By using these complexes, the total energy of the universe, which includes the energy of both the matter…

广义相对论与量子宇宙学 · 物理学 2009-11-10 T. Vargas Auccalla

The lack of a well-established solution for the gravitational energy problem might be one of the reasons why a clear road to quantum gravity does not exist. In this paper, the gravitational energy is studied in detail with the help of the…

广义相对论与量子宇宙学 · 物理学 2023-08-25 J. B. Formiga , João Duarte

We review the energy concept in the case of a continuum or a system of fields. First, we analyze the emergence of a true local conservation equation for the energy of a continuous medium, taking the example of an isentropic continuum in…

广义相对论与量子宇宙学 · 物理学 2016-09-13 Mayeul Arminjon

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

We derive the gravitational energy momentum tensor $\tau^{\eta}_{\alpha}$ for a general Lagrangian of any order $L=L\left(g_{\mu\nu}, g_{\mu\nu,i_{1}}, g_{\mu\nu,i_{1}i_{2}},g_{\mu\nu,i_{1}i_{2}i_{3}},\cdots, g_{\mu\nu,i_{1}i_{2}i_{3}\cdots…

广义相对论与量子宇宙学 · 物理学 2017-05-24 S. Capozziello , M. Capriolo , M. Transirico

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

We present the expression $t_{\mu\nu}$ of the energy-momentum tensor of the gravitational field in the framework of the recent proposal of the Geometric Scalar theory of gravity (GSG). From the conservation of $t_{\mu\nu}$ it follows the…

广义相对论与量子宇宙学 · 物理学 2013-11-28 M. Novello , E. Bittencourt