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Viewing gravitational energy-momentum $p_G^\mu$ as equal by observation, but different in essence from inertial energy-momentum $p_I^\mu$ naturally leads to the gauge theory of volume-preserving diffeormorphisms of an inner Minkowski space…

Mathematical Physics · Physics 2011-03-03 C. Wiesendanger

In this paper we work in the context of Teleparallelism Equivalent to General Relativity (TEGR) in order to construct the energy-momentum flux for G\"odel-type solutions of Einstein's equations. We use an stationary observer, which is…

General Relativity and Quantum Cosmology · Physics 2013-03-14 S. C. Ulhoa , A. F. Santos , R. G. G. Amorim

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

Recent research has highlighted the non-uniqueness problem of energy-momentum tensors in linearized gravity; many different tensors are published in the literature, yet for particular calculations a unique expression is required. It has…

General Relativity and Quantum Cosmology · Physics 2021-04-13 Mark Robert Baker

The article describes a new approach to obtaining the energy-momentum tensor of electromagnetic field in medium without the use of Maxwell's equations and Poynting theorem. The energy-momentum tensor has new qualities and consequences. Its…

Classical Physics · Physics 2017-04-13 Yurii A. Spirichev

We construct the energy-momentum tensor for the gauge fields which describe the collective excitations of the quark-gluon plasma. We rely on the description of the collective modes that we have derived in previous works. By using the…

High Energy Physics - Phenomenology · Physics 2011-07-19 Jean-Paul Blaizot , Edmond Iancu

The obstruction for the existence of an energy momentum tensor for the gravitational field is connected with differential-geometric features of the Riemannian manifold. It has not to be valid for alternative geometrical structures. In this…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Yakov Itin

The purpose of the classical Einstein and Landau-Lifshitz pseudotensors is for determining the gravitational energy. Neither of them can guarantee a positive energy in holonomic frames. In the small sphere approximation, it has been…

General Relativity and Quantum Cosmology · Physics 2009-09-28 Lau Loi So

According to a recent suggestion [1], the energy--momentum tensor for gravitating fields can be computed through a suitable rearrangement of the matter field equations, without relying on the variational definition. We show that the…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Guido Magnano , Leszek M. Sokolowski

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…

General Relativity and Quantum Cosmology · Physics 2016-09-13 Mayeul Arminjon

There exist at least a few different kind of averaging of the differences of the energy-momentum and angular momentum in normal coordinates {\bf NC(P)} which give tensorial quantities. The obtained averaged quantities are equivalent…

General Relativity and Quantum Cosmology · Physics 2011-08-04 Janusz Garecki

We complete the program of spectral geometry, in the sense that we show that a manifold's shape, i.e., its metric, can be reconstructed from its resonant sound when tapped lightly, i.e., from its spectrum, -- if in addition we also record…

General Relativity and Quantum Cosmology · Physics 2025-06-16 Achim Kempf

The main purpose of this paper is to explicitly verify the consistency of the energy-momentum and angular momentum tensor of the gravitational field established in the Hamiltonian structure of the Teleparallel Equivalent of General…

General Relativity and Quantum Cosmology · Physics 2015-06-25 A. A. Sousa , J. S. Moura , R. B. Pereira

The question of the existence of gravitational stress-energy in general relativity has exercised investigators in the field since the inception of the theory. Folklore has it that no adequate definition of a localized gravitational…

General Relativity and Quantum Cosmology · Physics 2021-03-17 Erik Curiel

If we replace the general spacetime group of diffeomorphisms by transformations taking place in the tangent space, general relativity can be interpreted as a gauge theory, and in particular as a gauge theory for the Lorentz group. In this…

General Relativity and Quantum Cosmology · Physics 2009-11-07 M. Calcada , J. G. Pereira

The recent detections of gravitational waves by the advanced LIGO and Virgo detectors open up new tests of modified gravity theories in the strong-field and dynamical, extreme gravity regime. Such tests rely sensitively on the phase…

General Relativity and Quantum Cosmology · Physics 2018-03-14 Alexander Saffer , Nicolas Yunes , Kent Yagi

An effective energy tensor for gravitational radiation is identified for uniformly expanding flows of the Hawking mass-energy. It appears in an energy conservation law expressing the change in mass due to the energy densities of matter and…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Sean A. Hayward

The problem of the energy-momentum conservation for matter in the gravitational field is discussed on the example of the effective gravity, which arises in superfluids. The "gravitational" field experienced by the relativistic-like massless…

General Relativity and Quantum Cosmology · Physics 2007-05-23 G. E. Volovik

We compute all the gravitational form factors in the scalar diquark model at the one-loop level using two different regularization methods. We check explicitly that all the Poincar\'e sum rules are satisfied and we discuss in detail the…

High Energy Physics - Phenomenology · Physics 2023-11-09 Arturo Amor-Quiroz , William Focillon , Cédric Lorcé , Simone Rodini

The influence of the gravity acceleration on the regularized energy-momentum tensor of the quantized electromagnetic field between two plane parallel conducting plates is derived. We use Fermi coordinates and work to first order in the…

High Energy Physics - Theory · Physics 2014-11-18 Giuseppe Bimonte , Enrico Calloni , Giampiero Esposito , Luigi Rosa