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The inspiral of binary systems in vacuum is controlled by the stress-energy of gravitational radiation and any other propagating degrees of freedom. For gravitational waves, the dominant contribution is characterized by an effective…

General Relativity and Quantum Cosmology · Physics 2011-05-10 Leo C. Stein , Nicolas Yunes

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…

General Relativity and Quantum Cosmology · Physics 2017-05-24 S. Capozziello , M. Capriolo , M. Transirico

We have studied the famous classical pseudotensors in the small region limit, both inside matter and in vacuum. A recent work [Deser et al.1999 CQG 16, 2815] had found one combination of the Einstein and Landau-Lifshitz expressions which…

General Relativity and Quantum Cosmology · Physics 2012-07-31 Lau Loi So , James M. Nester , Hsin Chen

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…

General Relativity and Quantum Cosmology · Physics 2007-06-22 Roald Sosnovskiy

The energy-momentum for a gravitating system can be considered by the tetard teleparalle gauge current in orthonormal frames. Whereas the Einstein pseudotensor used holonomic frames. Tetrad expression itself gives a better result for…

General Relativity and Quantum Cosmology · Physics 2009-11-13 Lau Loi So

Deser et al. proposed a combination of the Einstein and Landau-Lifshitz pseudotensors such that the second derivatives in vacuum are proportional to the Bel-Robinson tensor. Stimulated by their work, the present paper discuss the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Lau Loi So

A stress-energy tensor for linear gravity adapted to the harmonic gauge was recently proposed by Butcher, Hobson and Lasenby. By removing gauge constraints and imposing full metrical GR, we find a natural generalisation to the pseudotensor…

General Relativity and Quantum Cosmology · Physics 2020-03-06 William E V Barker , Anthony N Lasenby , Michael P Hobson , William J Handley

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…

General Relativity and Quantum Cosmology · Physics 2008-11-26 J. W. Maluf

We construct the gravitational energy-momentum pseudo-tensor of up to fourth-order conformally invariant theories of gravity. Then we linearize the pseudo-tensor and use its average over a macroscopic region to find the energy and momentum…

General Relativity and Quantum Cosmology · Physics 2025-05-29 F. F. Faria

Previously it was shown that if a weak gravitational field is modeled as a background of oscillating gravitons described by normal coordinates, then the field naturally exhibits rotational kinetic energy. The conformal metric associated…

General Physics · Physics 2010-07-28 Walter James Christensen

The energy of gravitating systems has been an issue since Einstein proposed general relativity: considered to be ill defined, having no proper local density. Energy-momentum is now regarded as \emph{quasi-local} (associated with a closed…

General Relativity and Quantum Cosmology · Physics 2018-11-15 Chiang-Mei Chen , Jian-Liang Liu , James M. Nester

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

Consistency of Einstein's gravitational field equation $G_{\mu\nu} \propto T_{\mu\nu}$ imposes a "conservation condition" on the $T$-tensor that is satisfied by (i) matter stress tensors, as a consequence of the matter equations of motion,…

General Relativity and Quantum Cosmology · Physics 2015-12-09 Eric Bergshoeff , Wout Merbis , Alasdair J. Routh , Paul K. Townsend

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…

General Relativity and Quantum Cosmology · Physics 2013-11-28 M. Novello , E. Bittencourt

The gravitational entropy proposal of Clifton, Ellis and Tavakol (CET) is based on an effective energy momentum tensor formed by the algebraic decomposition of the 4th order Bel-Robinson tensor. So far the application of the CET proposal…

General Relativity and Quantum Cosmology · Physics 2026-05-21 Maharshi Sarma , Sebastián Nájera , Roberto A. Sussman

Gravitational radiation in plane-symmetric space-times can be encoded in a complex potential, satisfying a non-linear wave equation. An effective energy tensor for the radiation is given, taking a scalar-field form in terms of the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Sean A. Hayward

General relativity is the theory with unclear energy momentum tensor. An approach is considered, allowing to construct the energy momentum tensor for relativity with nonsymmetric metric. A consequence of the approach is confirmed in the…

General Physics · Physics 2016-10-21 Boris V. Gisin

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…

General Relativity and Quantum Cosmology · Physics 2019-03-06 Tao Lei , Zi-Wei Chen , Zhen-Lai Wang , Xiang-Song Chen*

A proposal for the gravitational energy-momentum tensor, known in the literature as the square root of Bel-Robinson tensor, is analyzed in detail. Being constructed exclusively from the Weyl part of the Riemann tensor, such tensor…

General Relativity and Quantum Cosmology · Physics 2018-03-16 Giovanni Acquaviva , David Kofroň , Martin Scholtz

We study the screening mechanism in the most general scalar-tensor theories that leave gravitational waves unaffected and are thus compatible with recent LIGO/Virgo observations. Using the effective field theory of dark energy approach, we…

General Relativity and Quantum Cosmology · Physics 2019-07-24 Marco Crisostomi , Matthew Lewandowski , Filippo Vernizzi