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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

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…

高能物理 - 理论 · 物理学 2007-05-23 A. I. Nikishov

The field theoretical description of the general relativity (GR) is further developed. The action for the gravitational field and its sources is given explicitely. The equations of motion and the energy-momentum tensor for the gravitational…

广义相对论与量子宇宙学 · 物理学 2007-05-23 S. V. Babak , L. P. Grishchuk

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…

广义相对论与量子宇宙学 · 物理学 2009-10-31 S V Babak , L P Grishchuk

In the framework of the teleparallel equivalent of general relativity it is possible to establish the energy-momentum tensor of the gravitational field. This tensor has the following essential features: (1) it is identified directly in…

广义相对论与量子宇宙学 · 物理学 2008-11-26 J. W. Maluf

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

Describing the gravitational energy-momentum, the super-energy Bel-Robinson tensor is the best candidate. In the past, people seems only explore the lowest order: the electric part $E_{ab}$ and magnetic part $B_{ab}$ for the Riemann tensor.…

广义相对论与量子宇宙学 · 物理学 2023-12-29 Lau Loi So

We construct the gravitational energy-momentum tensor in general relativity through the Noether theorem. In particular, we explicitly demonstrate that the constructed quantity can vary as a tensor under the general coordinate…

广义相对论与量子宇宙学 · 物理学 2016-01-20 Kazuharu Bamba , Katsutaro Shimizu

In the literature one often finds the claim that there is no such thing as an energy-momentum tensor for the gravitational field, and consequently, that the total energy-momentum conservation can only be defined in terms of a gravitational…

广义相对论与量子宇宙学 · 物理学 2014-08-08 H. Nikolic

Motivated by a special consideration in quantum measurement, we present a new improved energy-momentum tensor. The new tensor differs from the traditional canonical and symmetric ones, and can be derived as Nother current from a Lagrangian…

广义相对论与量子宇宙学 · 物理学 2019-03-06 Tao Lei , Zi-Wei Chen , Zhen-Lai Wang , Xiang-Song Chen*

The weak gravitational field expansion method to account for the gravitationally induced neutrino oscillation effect is critically examined. It is shown that the splitting of the neutrino phase into a ``kinematic'' and a ``gravitational''…

广义相对论与量子宇宙学 · 物理学 2015-06-25 J. G. Pereira , C. M. Zhang

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…

经典物理 · 物理学 2021-05-12 Carlos Heredia , Josep Llosa

For an island-like distribution of matter the gravitational energy-momentum tensor is defined according to Weinberg as a source of metric. If this source is formed by self-interactions of gravitons, so that nonphysical degrees of freedom…

广义相对论与量子宇宙学 · 物理学 2007-05-23 A. I. Nikishov

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

This note provides an explicit proof of the equivalence of the Belinfante's energy-momentum tensor and the metric energy-momentum tensor for general mixed tensor-spinor fields.

数学物理 · 物理学 2014-11-18 Hongbao Zhang

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.

广义相对论与量子宇宙学 · 物理学 2012-10-09 Zahid Zakir

In the Tetrad Representation of General Relativity, the energy-momentum expression, found by Moller in 1961, is a tensor wrt coordinate transformations but is not a tensor wrt local Lorentz frame rotations. This local Lorentz freedom is…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Roh S. Tung , James M. Nester

A new covariant generalization of Einstein's general relativity is developed which allows the existence of a term proportional to $T_{\alpha\beta}T^{\alpha\beta}$ in the action functional of the theory ($T_{\alpha\beta}$ is the…

广义相对论与量子宇宙学 · 物理学 2016-08-04 Mahmood Roshan , Fatimah Shojai

We analyze the energy configuration of a charged black hole in the Teleparallel Framework of General Relativity. We obtain the energy-momentum tensor of the gravitational field in a stationary frame, and we calculate its contribution to the…

广义相对论与量子宇宙学 · 物理学 2017-09-27 Luciano Combi , Gustavo E. Romero

The relativistic theory of gravitation has the considerable difficulties by description of the gravitational field energy. Pseudotensor t00 in the some cases cannot be interpreted as energy density of the gravitational field. In [1] the…

广义相对论与量子宇宙学 · 物理学 2007-06-22 Roald Sosnovskiy
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