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Four-force
About: Four-force is a research topic. Over the lifetime, 3459 publications have been published within this topic receiving 87308 citations.
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26 citations
TL;DR: The existence of a definite tangent space structure (metric with Lorentzian signature) in the general theory of relativity is the consequence of a fundamental assumption concerning the local validity of special relativity as mentioned in this paper.
Abstract: The existence of a definite tangent space structure (metric with Lorentzian signature) in the general theory of relativity is the consequence of a fundamental assumption concerning the local validity of special relativity. There is then at the heart of Einstein's theory of gravity an absolute element which depends essentially on a common feature of all the non‐gravitational interactions in the world, and which has nothing to do with space‐time curvature. Tentative implications of this point for the significance of the vacuum solutions in general relativity, and for the issue of quantising gravity, are briefly examined.
26 citations
Book•
01 Jan 2007
TL;DR: In this paper, the geometrical structure of space-time and the transformation of the Electromagnetic Field were discussed. And the results of General Relativity were discussed as well.
Abstract: Space and Time Before Einstein.- In Search of the Ether.- Space and Time in Special Relativity.- Geometric Structure of Space-Time.- Transformation of the Electromagnetic Field.- Energy and Momentum.- Covariant Formulation.- Inertia and Gravity.- Results of General Relativity.
26 citations
TL;DR: The energy-momentum problem for the gravitational field in general relativity has been a stumbling block for theoreticians for more than six decades as discussed by the authors, but none of them has led to sucoess.
Abstract: The energy-momentum problem for the gravitational field in general relativity has been a stumbling block for theoreticians for more than six decades. During this time different authors have proposed in the scientific literature numerous approaches to the problem, but none of them has led to sucoess. Extensive analysis of the energy-momentum problem in general relativity shows [8, 9, 11–17] that in Einstein's theory there is in principle no solution to this problem, since it does not contain conservation laws for the matter and gravitational field taken together.
26 citations
TL;DR: In this article, it is shown that it is possible to develop a new projective relativistic theory based on the De Sitter universe with constant curvature, which extends the special theory of relativity on a cosmic scale, and it is akin to Milne's kinematic relativity.
Abstract: It is possible to develop a new “projective relativity” based on the De Sitter universe with constant curvature. This theory extends the special theory of relativity on a cosmic scale, and it is akin to Milne's kinematic relativity.
26 citations