Topic
Special relativity (alternative formulations)
About: Special relativity (alternative formulations) is a research topic. Over the lifetime, 3102 publications have been published within this topic receiving 55015 citations.
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TL;DR: In this article, the authors study the quantum mechanics of N electrons and M nuclei interacting by Coulomb forces and modify the usual kinetic energy to take into account an effect from special relativity.
Abstract: In this article, we study the quantum mechanics of N electrons and M nuclei interacting by Coulomb forces. Motivated by an important idea of Chandrasekhar and following Herbst [H], we modify the usual kinetic energy -? to take into account an effect from special relativity. As a result, the system can implode for unfavorable values of the nuclear charge Z and the fine structure constant a. This is analogous to the gravitational collapse of a heavy star. Our goal here is to find those values of a and Z for which the system is stable.
149 citations
TL;DR: A modified version of the field equations of general relativity is obtained on relaxing the covariant energy-momentum conservation condition as discussed by the authors, which introduces a single arbitrary constant and does not appear to upset the successes of the general relativity in or outside cosmology.
Abstract: A modified version of the field equations of general relativity is obtained on relaxing the covariant energy-momentum conservation condition. This introduces a single arbitrary constant and does not appear to upset the successes of general relativity in or outside cosmology. The matter-dominated cosmological model, based on the generalized field equations, is discussed. It is shown to provide more room for consistency with the observational data.
145 citations
144 citations
Book•
01 Jan 1977
TL;DR: In this article, the authors discuss research performed in group theory and general relativity, including representations of the rotation group, the Lorentz group, and the SL(2, C) symmetry of the gravitational field.
Abstract: : The report discusses research performed in group theory and general relativity. It includes the following: Representations of the rotation group; Representations of the Lorentz group; SL(2, C) symmetry of the gravitational field; Applications of the group SU(2) to gravitational and electromagnetic fields; Equations of motion in general relativity; and Miscellaneous. (Author)
143 citations
TL;DR: In this article, a modified Friedmann-Robertson-Walker cosmology for an osculating Riemannian space was derived. And the Friedmann equation of motion leads to an explanation of the cosmological acceleration in terms of an alternative non-Lorentz invariant theory.
Abstract: General very special relativity (GVSR) is the curved space-time of very special relativity (VSR) proposed by Cohen and Glashow. The geometry of general very special relativity possesses a line element of Finsler geometry introduced by Bogoslovsky. We calculate the Einstein field equations and derive a modified Friedmann-Robertson-Walker cosmology for an osculating Riemannian space. The Friedmann equation of motion leads to an explanation of the cosmological acceleration in terms of an alternative non-Lorentz invariant theory. A first order approach for a primordial-spurionic vector field introduced into the metric gives back an estimation of the energy evolution and inflation.
142 citations