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Observers at rest in a stationary spacetime flat at infinity can measure small amounts of rest-mass+internal energies+kinetic energies+pressure energy in a small volume of fluid attached to a local inertial frame. The sum of these small…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Joseph Katz

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

It has recently been claimed that relativity's most famous equation, E = mc^2, has a cosmological basis, representing the gravitational binding energy for a particle to escape from the origin to a gravitational horizon of the universe. In…

General Relativity and Quantum Cosmology · Physics 2019-09-25 Geraint F. Lewis

We propose a gravitational theory in which the effective Lagrangian of the gravitational field is given by an arbitrary function of the Ricci scalar, the trace of the matter energy-momentum tensor, and the contraction of the Ricci tensor…

General Relativity and Quantum Cosmology · Physics 2014-12-30 Zahra Haghani , Tiberiu Harko , Hamid Reza Sepangi , Shahab Shahidi

According to the general theory of relativity, kinetic energy contributes to gravitational mass. Surprisingly, the observational evidence for this prediction does not seem to be discussed in the literature. I reanalyze existing experimental…

General Relativity and Quantum Cosmology · Physics 2011-01-13 S. Carlip

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

Our concept of mass has evolved considerably over the centuries, most notably from Newton to Einstein, and then even more vigorously with the establishment of the standard model and the subsequent discovery of the Higgs boson. Mass is now…

General Physics · Physics 2023-12-14 Fulvio Melia

The mysterious `dark energy' needed to explain the current observations, poses a serious confrontation between fundamental physics and cosmology. The present crisis may be an outcome of the (so far untested) prediction of the general theory…

General Relativity and Quantum Cosmology · Physics 2020-05-19 Ram Gopal Vishwakarma

We review our recent theoretical results about inequivalence between passive and active gravitational masses and energy in semiclassical variant of general relativity, where gravitational field is not quantized but matter is quantized. To…

General Relativity and Quantum Cosmology · Physics 2019-10-10 Andrei G. Lebed

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

The energy-mass content of Einstein's E = mc^{2} is well known. For a fixed value of mass, E = mc^{2} is an energy-momentum relation which takes the form E = \sqrt{m^{2} + p^{2}}. This relation was formulated in 1905 for point particles.…

Quantum Physics · Physics 2007-05-23 Y. S. Kim

The energy and momentum for different cosmological models using various prescriptions are evaluated. In particular, we have focused our attention on the energy and momentum for gravitational waves and discuss the results. It is concluded…

General Relativity and Quantum Cosmology · Physics 2009-11-10 M. Sharif

The classical concept of "mass density" is not fundamental to the quantum theory of matter. Therefore, mass density cannot be the source of gravitation. Here, we treat electromagnetic energy, momentum, and stress as its source. The…

General Relativity and Quantum Cosmology · Physics 2008-02-03 Kenneth Dalton

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

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

In a geometric unified theory there is an energy momentum equation, apart from the field equations and equations of motion. The general relativity Einstein equation with cosmological constant follows from this energy momentum equation for…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Gustavo R. Gonzalez-Martin

Gravity is related to gravitational mass of the bodies. According to the weak form of Einstein's General Relativity equivalence principle, the gravitational and inertial masses are equivalent. However recent calculations (gr-qc/9910036)…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Fran De Aquino

The equivalence principle in combination with the special relativistic equivalence between mass and energy, $E=mc^2$, is one of the cornerstones of general relativity. However, for composite systems a long-standing result in general…

General Relativity and Quantum Cosmology · Physics 2019-05-22 Magdalena Zych , Łukasz Rudnicki , Igor Pikovski

An energy condition, in the context of a wide class of spacetime theories (including general relativity), is, crudely speaking, a relation one demands the stress-energy tensor of matter satisfy in order to try to capture the idea that…

History and Philosophy of Physics · Physics 2021-03-04 Erik Curiel

We define gravitational mass operator of a hydrogen atom in the post-Newtonian approximation of the General Relativity and show that it does not commute with energy operator. Nevertheless, the equivalence between the expectation values of…

General Relativity and Quantum Cosmology · Physics 2011-11-24 A. G. Lebed