Journal ArticleDOI
Mass and energy in General Relativity
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In this paper, the authors consider the Denisov-Solov'ov example which shows that the inertial mass is not well defined in General Relativity and show that the mathematical reason why this is true is a wrong application of the Stokes theorem.Abstract:
We consider the Denisov-Solov'ov example which shows that the inertial mass is not well defined in General Relativity. It is shown that the mathematical reason why this is true is a wrong application of the Stokes theorem. Then we discuss the role of the order of asymptotically flatness in the definition of the mass. In conclusion some comments on conservation laws in General Relativity are presented.read more
Citations
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Reissner–nordström solutions and energy in teleparallel theory
TL;DR: In this article, the authors give three different spherically symmetric spacetimes for the coupled gravitational and electromagnetic fields with a charged source in the tetrad theory of gravitation.
Journal ArticleDOI
Generalized Equivalence Principle in Extended New General Relativity.
TL;DR: In this article, the problem of determining whether the total energy-momentum, total angular momentum and total charge are equal to the corresponding quantities of the gravitational source was examined for charged axi-symmetric solutions of gravitational field equations.
Book
Relational Mechanics and Implementation of Mach's Principle with Weber’s Gravitational Force
TL;DR: In this paper, a new mechanics intended to replace newtonian mechanics and also Einstein's theories of relativity is proposed, which implements Mach's principle quantitatively based on Weber's force for gravitation and the principle of dynamical equilibrium.
BookDOI
Gravitation as a Plastic Distortion of the Lorentz Vacuum
TL;DR: In this article, the authors present a theory of the gravitational field where this field is represented by a (1, 1)-extensor field h describing a plastic distortion of the Lorentz vacuum (a real substance that lives in a Minkowski spacetime) due to the presence of matter.
Book
Physics before and after Einstein
TL;DR: The history of modern physics, spanning from the late 19th century up to today, can be found in this paper, where the main contributions of Albert Einstein can be seen as marking the line between 'old' and 'new' physics, and expanding on some of the developments and open issues to which they gave rise.
References
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Journal ArticleDOI
On the proof of the positive mass conjecture in general relativity
Richard Schoen,Shing-Tung Yau +1 more
TL;DR: In this paper, it was shown that the total mass associated with each asymptotic regime is non-negative with equality only if the space-time is flat, which is the assumption of the existence of a maximal spacelike hypersurface.
Journal ArticleDOI
Proof of the positive mass theorem. II
Richard Schoen,Shing-Tung Yau +1 more
TL;DR: The positive mass theorem states that for a nontrivial isolated physical system, the total energy, which includes contributions from both matter and gravitation is positive as mentioned in this paper, which was demonstrated in our previous paper in the important case when the space-time admits a maximal slice.
Journal ArticleDOI
The mass of an asymptotically flat manifold
TL;DR: In this article, it was shown that the mass of an asymptotically flat n-manifold is a geometric invariant and the proof was based on harmonic coordinates.