It is pointed out that in curved spacetime, one cannot define the sum of energy-momemtum 4-vector over a space-like hypersurface. The difficulty in finding satisfactory gravitational energy-momentum complex stems from misunderstanding of this question. The law of conservation of energy-momentum holds valid only approximately when spacetime is not seriously curved
The notions of ``motion'' and ``conserved quantities'', if applied to extended objects, are already ...
The topics of gravitational "eld energy and energy-momentum conservation in General Relativity ...
We first review the various definition of the total energy in the gravitational system. The naive de...
We show that the energy-momentum four-vector of a planet, p = mu, is conserved during geodesic motio...
A covariant formula for conserved currents of energy, momentum and angular-momentum is derived from ...
The energy (due to matter and fields including gravitation) of the Schwarzschild-de Sitter spacetime...
Static observers remain on Killing-vector world lines and measure the rest-mass+kinetic energies of ...
According to Einstein's principle of general covariance, all laws of nature are to be expressed by m...
The problem of the definition of gravitational energy is reconsidered. In the Einstein theory all ma...
35 pages. V3: Version accepted for publication in Advances in Mathematical Physics: Added quotations...
The aim of this paper is to discuss some aspects of the nature gravitational energy within the gener...
As Harvey Brown emphasizes in his book Physical Relativity, inertial motion in general relativity is...
An unambiguous definition of gravitational energy remains one of the unresolved issues of physics to...
We define energy (E) and compute its values for gravitational systems involving terms quadratic in c...
Several energy-momentum "tensors" of gravitational field are considered and compared in the lowest a...
The notions of ``motion'' and ``conserved quantities'', if applied to extended objects, are already ...
The topics of gravitational "eld energy and energy-momentum conservation in General Relativity ...
We first review the various definition of the total energy in the gravitational system. The naive de...
We show that the energy-momentum four-vector of a planet, p = mu, is conserved during geodesic motio...
A covariant formula for conserved currents of energy, momentum and angular-momentum is derived from ...
The energy (due to matter and fields including gravitation) of the Schwarzschild-de Sitter spacetime...
Static observers remain on Killing-vector world lines and measure the rest-mass+kinetic energies of ...
According to Einstein's principle of general covariance, all laws of nature are to be expressed by m...
The problem of the definition of gravitational energy is reconsidered. In the Einstein theory all ma...
35 pages. V3: Version accepted for publication in Advances in Mathematical Physics: Added quotations...
The aim of this paper is to discuss some aspects of the nature gravitational energy within the gener...
As Harvey Brown emphasizes in his book Physical Relativity, inertial motion in general relativity is...
An unambiguous definition of gravitational energy remains one of the unresolved issues of physics to...
We define energy (E) and compute its values for gravitational systems involving terms quadratic in c...
Several energy-momentum "tensors" of gravitational field are considered and compared in the lowest a...
The notions of ``motion'' and ``conserved quantities'', if applied to extended objects, are already ...
The topics of gravitational "eld energy and energy-momentum conservation in General Relativity ...
We first review the various definition of the total energy in the gravitational system. The naive de...