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From a previous paper where we proposed a description of general relativity within the gravito-electromagnetic limit, we propose an alternative modified gravitational theory. As in the former version, we analyze the vector and tensor…

General Relativity and Quantum Cosmology · Physics 2022-05-03 Sergio Giardino

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…

General Relativity and Quantum Cosmology · Physics 2016-01-20 Kazuharu Bamba , Katsutaro Shimizu

A tensor description of perturbative Einsteinian gravity about an arbitrary background spacetime is developed. By analogy with the covariant laws of electromagnetism in spacetime, gravito-electromagnetic potentials and fields are defined to…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Simon J. Clark , Robin W. Tucker

We give a fully covariant energy momentum stress tensor for the gravitational field which is easily physically motivated, and which leads to a very general derivation of the Einstein equation for gravity. We do not need to assume any…

General Relativity and Quantum Cosmology · Physics 2009-03-31 Maurice J. Dupré

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…

General Relativity and Quantum Cosmology · Physics 2010-11-26 Luke M. Butcher , Michael Hobson , Anthony Lasenby

Due to its underlying gauge structure, teleparallel gravity achieves a separation between inertial and gravitational effects. It can, in consequence, describe the isolated gravitational interaction without resorting to the equivalence…

General Relativity and Quantum Cosmology · Physics 2009-11-11 R. Aldrovandi , L. C. T. Guillen , J. G. Pereira , K. H. Vu

It has been tested precisely that the inertial and gravitational masses are equal. Here we reveal that the inertial and gravitational momenta may differ. More generally, the inertial and gravitational energy-momentum tensors may not…

General Relativity and Quantum Cosmology · Physics 2012-11-21 Xiang-Song Chen

A covariant scalar-tensor-vector gravity theory is developed which allows the gravitational constant $G$, a vector field coupling $\omega$ and the vector field mass $\mu$ to vary with space and time. The equations of motion for a test…

General Relativity and Quantum Cosmology · Physics 2021-11-22 J. W. Moffat

The energy of gravitational waves is a fundamental problem in gravity theory. The existing descriptions for the energy of gravitational waves, such as the well-known Isaacson energy-momentum tensor, suffer from several defects. Due to the…

General Relativity and Quantum Cosmology · Physics 2022-08-23 Rong-Gen Cai , Xing-Yu Yang , Long Zhao

This paper describes general relativity at the gravito-electromagnetic precision level as a constrained field theory. In this novel formulation, the gravity field comprises two auxiliary fields, a static matter field and a moving matter…

General Physics · Physics 2020-03-17 Sergio Giardino

We consider alternative theories of gravity with a direct coupling between matter and the Ricci scalar We study the relation between these theories and ordinary scalar-tensor gravity, or scalar-tensor theories which include non-standard…

General Relativity and Quantum Cosmology · Physics 2010-05-12 Thomas P. Sotiriou , Valerio Faraoni

We establish a general relation between the canonical energy-momentum tensor of Lagrangian dynamics and the tensor that acts as the source of the gravitational field in Einstein's equations, and we show that there is a discrepancy between…

General Relativity and Quantum Cosmology · Physics 2013-03-01 Hans C. Ohanian

In the $\bar{\mbox{\rm Poincar\'{e}}}$ gauge theory of gravity, which has been formulated on the basis of a principal fiber bundle over the space-time manifold having the covering group of the proper orthochronous Poincar\'{e} group as the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Toshiharu Kawai

We show that the locally constant force necessary to get a stable hyperbolic motion regime for classical charged point particles, actually, is a combination of an applied external force and of the electromagnetic radiation reaction force.…

General Relativity and Quantum Cosmology · Physics 2014-11-21 Mario Goto , Paulo Laerte Natti , Erica Regina Takano Natti

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…

General Relativity and Quantum Cosmology · Physics 2015-06-25 David I. Santiago , Alexander S. Silbergleit

We give an introduction to, and review of, the energy-momentum tensors in classical gauge field theories in Minkowski space, and to some extent also in curved space-time. For the canonical energy-momentum tensor of non-Abelian gauge fields…

High Energy Physics - Theory · Physics 2016-11-21 Daniel N. Blaschke , Francois Gieres , Meril Reboud , Manfred Schweda

We show that any generally covariant coupling of matter fields to gravity gives rise to a conserved, on-shell symmetric energy-momentum tensor equivalent to the canonical energy-momentum tensor of the flat-space theory. For matter fields…

High Energy Physics - Theory · Physics 2020-07-03 Vadim Borokhov

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

Gravity, and the puzzle regarding its energy, can be understood from a gauge theory perspective. Gravity, i.e., dynamical spacetime geometry, can be considered as a local gauge theory of the symmetry group of Minkowski spacetime: the…

General Relativity and Quantum Cosmology · Physics 2018-01-30 Chiang-Mei Chen , James M. Nester

We reflect on the possibility of having a matter action that is invariant only under transverse diffeomorphisms. This possibility is particularly interesting for the dark sector, where no restrictions arise based on the weak equivalence…

General Relativity and Quantum Cosmology · Physics 2024-02-26 Darío Jaramillo-Garrido , Antonio L. Maroto , Prado Martín-Moruno