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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…

General Relativity and Quantum Cosmology · Physics 2007-05-23 S. V. Babak , L. P. Grishchuk

Euler's interpretation of Newton's gravity (NG) as Archimedes' thrust in a fluid ether is presented in some detail. Then a semi-heuristic mechanism for gravity, close to Euler's, is recalled and compared with the latter. None of these two…

General Physics · Physics 2007-05-23 Mayeul Arminjon

In the scalar theory of gravitation with a preferred reference frame, a consistent formulation of electrodynamics in the presence of gravitation needs to introduce an additional energy tensor: the interaction energy tensor. This energy is…

General Physics · Physics 2023-02-21 Mayeul Arminjon

We consider the standard gauge theory of Poincar\'{e} group, realizing as a subgroup of $GL(5. R)$. The main problem of this theory was appearing of the fields connected with non-Lorentz symmetries, whose physical sense was unclear. In this…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Merab Gogberashvili

We summarize a recent work on the title subject, skipping the detailed calculations but introducing the basic points with enough detail. The theory considered is formulated in a preferred reference frame in a four-dimensional spacetime…

General Physics · Physics 2017-10-18 Mayeul Arminjon

Despite the tremendous empirical success of equivalence principle, there are several theoretical motivations for existence of a preferred reference frame (or aether) in a consistent theory of quantum gravity. However, if quantum gravity had…

High Energy Physics - Theory · Physics 2015-11-26 Niayesh Afshordi

We discuss a scenario of ``the path to physics at the Planck scale'' where todays theory of the interactions of elementary particles, the so called Standard Model (SM), emerges as a low energy effective theory describing the long distance…

High Energy Physics - Theory · Physics 2007-05-23 F. Jegerlehner

The Poincar\'e gauge gravity (PGG) with the underlying vector fields of tetrads and spin-connections is perhaps the best theory candidate for gravitation to be unified with the other three elementary forces of nature. There is a clear…

General Relativity and Quantum Cosmology · Physics 2017-05-03 J. L. Chkareuli

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

Tensor-scalar theories of gravitation are commonly employed as extensions of General Relativity that allow to describe a much wider phenomenology. They are also naturally generated as low energy limit of higher-dimensional or unified…

General Physics · Physics 2025-12-09 F. Minotti , G. Modanese

In special-relativistic physics, spacetime is imbued with a fixed, non-dynamical metric tensor. A path to gravitational theory is to promote this tensor to a genuine dynamical field. An alternative description of special-relativistic…

General Relativity and Quantum Cosmology · Physics 2023-06-09 Tomi S Koivisto , Tom Zlosnik

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…

History and Philosophy of Physics · Physics 2019-11-26 Erik Curiel

We have recently proposed an "Ultra-Strong" version of the Equivalence Principle (EP) that is not satisfied by standard semiclassical gravity. In the theory that we are conjecturing, the vacuum expectation value of the (bare) energy…

High Energy Physics - Theory · Physics 2009-12-07 Federico Piazza

A unified description of all interactions could be based on a higher-dimensional theory involving only spinor fields. The metric arises as a composite object and the gravitational field equations contain torsion-corrections as compared to…

High Energy Physics - Theory · Physics 2009-02-20 A. Hebecker , C. Wetterich

This work deals with the questions of absolute space and relativity. In particular, an alternative derivation of the effects described by special relativity is provided, which is based on a description that assumes a privileged reference…

Physics Education · Physics 2007-05-23 Vasco Guerra , Rodrigo de Abreu

In General Relativity, the issue of defining the gravitational energy contained in a given spatial region is still unresolved, except for particular cases of localized objects where the asymptotic flatness holds for a given spacetime. In…

General Relativity and Quantum Cosmology · Physics 2023-06-06 Salvatore Capozziello , Maurizio Capriolo , Gaetano Lambiase

A mathematical derivation of Maxwell's equations for gravitation, based on a mathematical proof of Faraday's Law, is presented. The theory provides a linear, relativistic Lagrangian field theory of gravity in a weak field, and paves the way…

General Physics · Physics 2013-05-30 D. H. Sattinger

A Poincar\'{e} gauge theory of (2+1)-dimensional gravity is developed. Fundamental gravitational field variables are dreibein fields and Lorentz gauge potentials, and the theory is underlain with the Riemann-Cartan space-time. The most…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Toshiharu Kawai

We develop a framework for superposition in relativistic gravity within Extended Relativity (ER), a Lorentz-covariant theory formulated in flat spacetime. In this approach, gravitational fields are described by deviations from the Minkowski…

General Physics · Physics 2026-04-29 Y. Friedman

We investigate the energy of a theory with a unit vector field (the "aether") coupled to gravity. Both the Weinberg and Einstein type energy-momentum pseudotensors are employed. In the linearized theory we find expressions for the energy…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Christopher Eling