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A formal proof of the thesis by Lorentz and Levi-Civita that the left-hand side of Einstein field equations represents the real energy-momentum-stress tensor of the gravitational field.

General Physics · Physics 2011-09-27 A. Loinger

We give a derivation of the Einstein equation for gravity which employs a definition of the local energy density of the gravitational field as a symmetric second rank tensor whose value for each observer gives the trace of the spatial part…

Mathematical Physics · Physics 2008-03-13 Maurice J. Dupre

We propose the idea that not all energy is a source of gravity. We discuss the role of energy in the theory of gravitation and provide a formulation of gravity which takes into account the quantum nature of the source. We show that gravity…

General Relativity and Quantum Cosmology · Physics 2017-02-20 David Edward Bruschi

Through the discussion of the fundamental properties of Lagrangian density for a gravitational system, the theoretical foundations of the modified Einstein field equations and the Lorentz and Levi-Civita conservation laws are systematically…

General Physics · Physics 2007-05-23 Fang-Pei Chen

Foreword. While most textbooks of general relativity and research articles discuss at length the relative merits of the pseudo tensors proposed by Einstein and by other authors for representing the energy of the gravitational field, Levi…

History and Philosophy of Physics · Physics 2007-05-23 T. Levi-Civita

Einstein, when he began working on the general theory of relativity, believed that energy of any kind is the source of the gravitational field. Therefore, the energy of gravity, like any energy, must be the source of the field. It was…

General Physics · Physics 2025-04-22 V. B. Morozov

Large contributions to the near closure of the Universe and to the acceleration of its expansion are due to the gravitation of components of the stress-energy tensor other than its mass density. To familiarise astronomers with the…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-18 Donald Lynden-Bell , Joseph Katz

By mass-energy equivalence, the gravitational field has a relativistic mass density proportional to its energy density. I seek to better understand this mass of the gravitational field by asking whether it plays three traditional roles of…

Classical Physics · Physics 2022-06-22 Charles T. Sebens

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

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

Several arguments concerning the "vexatae quaestiones" of the gravity field of a point mass and of the wavy gravity field.

General Physics · Physics 2007-05-23 A. Loinger

A definition of gravitational energy is proposed for any theory described by a diffeomorphism-invariant Lagrangian. The mathematical structure is a Noether- current construction of Wald involving the boundary term in the action, but here it…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Sean A. Hayward

Inertia is defined axiomatically. The gravitational field is caused by the flow of intergalactic masses. Origin of space and time are connected with fields. The cosmos is bounded by inertia and gravitation, which is the sequence of…

General Physics · Physics 2007-05-23 Doriana Kiekhoeven

Gravitoelectromagnetism is briefly reviewed and some recent developments in this topic are discussed. The stress-energy content of the gravitoelectromagnetic field is described from different standpoints. In particular, the gravitational…

General Relativity and Quantum Cosmology · Physics 2017-08-23 Bahram Mashhoon

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

The more precise definition and the more fundamental understanding of the concepts of time, energy, entropy and information are building upon the new, relativistic foundation of gravity. This lecture is an attempt to explain the basic…

General Relativity and Quantum Cosmology · Physics 2023-11-17 Tomi Koivisto

Based on Lorentz and Levi-Civita's conservation laws, it can be shown that the energy of the matter field in the universe might originate from the gravitational field as a result of the latter field's energy decrease and the total entropy…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Fang-Pei Chen

We argue that our equation of gravitation ( Phys.Lett. A 156 (1991) 404 ) lead in pseudo-Euclidean space-time to the finite energy of the gravitational field of a point mass.

General Relativity and Quantum Cosmology · Physics 2007-05-23 L. V. Verozub

This is intended to be a brief introduction and overview of Horava-Lifshitz gravity. The motivation and all of the various version of the theory (to date) are presented. The dynamics of the theory are discussed in some detail, with a focus…

High Energy Physics - Theory · Physics 2011-03-31 Thomas P. Sotiriou

Some highlights of the priority in the discovery of the gravitational field equations are given.

General Relativity and Quantum Cosmology · Physics 2007-05-23 V. A. Petrov
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