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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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01 Jan 1995
TL;DR: Einstein's weary and consoling response of August 1915 to his correspondent Paul Hertz on a yet another proposal concerning the troubled and still incomplete general theory of relativity is described in this paper.
Abstract: So began Einstein’s weary and consoling response of August 1915 to his correspondent Paul Hertz on a yet another proposal concerning the troubled and still incomplete general theory of relativity. Einstein had been working on the theory for eight years and within a few months would overcome his final obstacles, bringing to completion his greatest scientific achievement.’ My concern in this paper is to establish two theses about Einstein’s discovery of his general theory of relativity. The first concerns the heuristic methods he used to navigate the “chaos of possibilities”; the second concerns an important moral Einstein, the “mathematical ignoramus,” drew from the experience:
44 citations
TL;DR: In this paper, the transformation laws of coordinates in generalizations of special relativity with two observer-independent scales are investigated. But the authors assume noncanonical Poisson brackets, corresponding to noncommuting spacetime coordinates.
Abstract: We investigate the transformation laws of coordinates in generalizations of special relativity with two observer-independent scales. The request of covariance leads to simple formulas if one assumes noncanonical Poisson brackets, corresponding to noncommuting spacetime coordinates.
43 citations
TL;DR: In this article, a general solution for time-independent, adiabatic, spherically symmetric wind and accretion flows in Schwarzschild coordinates is obtained for both relativistic and non-relativistic temperatures.
Abstract: Analytic general solutions are obtained for time-independent, adiabatic, spherically symmetric wind and accretion flows in Schwarzschild coordinates. Various equations of state applicable for both relativistic and nonrelativistic temperatures are considered. The general solution is shown to strongly resemble the nonrelativistic stellar wind solution. Finally, shock transitions in special relativity are briefly considered, and it is shown how they can be fitted onto the full solution to accommodate a broader class of boundary conditions. (AIP)
43 citations
TL;DR: In this article, the authors deduce the most general space-time transformation laws consistent with the principle of relativity from both the Galilean and the Einsteinian versions of the theory.
Abstract: We deduce the most general space–time transformation laws consistent with the principle of relativity. Thus, our result contains the results of both Galilean and Einsteinian relativity. The velocity addition law comes as a by-product of this analysis. We also argue why Galilean and Einsteinian versions are the only possible embodiments of the principle of relativity.
43 citations
01 Jan 1978
TL;DR: In this article, the physics of space and time are studied in the context of vector and dyadic notation in 3D space and 3D dimensions, with a focus on simple fluids.
Abstract: Preface 1. The physics of space and time 2. Affine spaces in mathematics and physics 3. Foundations of dynamics 4. Relativistic simple fluids 5. Electrodynamics of polarisable fluids Appendix: Vector and dyadic notation in three dimensions Publications referred to in the text Summary and index of symbols and conventions Subject index.
43 citations