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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01 Jun 1989
TL;DR: In this article, the authors give a definitive treatment to the clocks problem showing that Sachs' "convincing mathematical arguments" are non sequitur and that his later view of the twin paradox coincides with the one derived from the rigorous theory of time developed in this paper.
Abstract: The purpose of the present paper is to reply to a misleading paper by M. Sachs entitled “Einstein's later view of the Twin Paradox” (TP) (Found. Phys.15, 977 (1985)). There, by selecting some passages from Einstein's papers, he tried to convince the reader that Einstein changed his mind regarding the asymmetric aging of the twins on different motions. Also Sachs insinuates that he presented several years ago “convincing mathematical arguments” proving that the theory of relativity does not predict asymmetrical aging in the TP. Here we give a definitive treatment to the clocks problem showing that Sachs' “convincing mathematical arguments” are non sequitur. Also, by properly quoting Einstein, we show that his later view of the TP coincides with the one derived from the rigorous theory of time developed in this paper.
35 citations
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TL;DR: In this article, the authors present a workshop for high school and undergraduate students that introduces the notion of curved space by means of sector models of black holes, and further describe the extension to sector model of curved spacetimes.
Abstract: Teaching the general theory of relativity to high school or undergraduate students must be based on an approach that is conceptual rather than mathematical. In this paper we present such an approach that requires no more than elementary mathematics. The central idea of this introduction to general relativity is the use of so-called sector models. Sector models describe curved spaces the Regge calculus way by subdivision into blocks with euclidean geometry. This procedure is similar to the approximation of a curved surface by flat triangles. We outline a workshop for high school and undergraduate students that introduces the notion of curved space by means of sector models of black holes. We further describe the extension to sector models of curved spacetimes. The spacetime models are suitable for learners with a basic knowledge of special relativity. The teaching materials presented in this paper are available online for teaching purposes at www.spacetimetravel.org.
34 citations
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TL;DR: In this article, the authors studied spatially homogeneous solutions of the Boltzmann equation in special relativity and in Robertson-Walker spacetimes, and obtained an analogue of the Povzner inequality in the special relativity case.
Abstract: In this paper, we study spatially homogeneous solutions of the Boltzmann equation in special relativity and in Robertson-Walker spacetimes. We obtain an analogue of the Povzner inequality in the re...
34 citations
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01 Jan 2012TL;DR: A brief overview of the acclaimed singularity theorems can be found in this article, which are often quoted as one of the greatest theoretical accomplishments in general relativity and mathematical physics.
Abstract: In this short note, written by a theoretical physicist, not a historian, I would like to present a brief overview of the acclaimed singularity theorems, which are often quoted as one of the greatest theoretical accomplishments in general relativity and mathematical physics
33 citations
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TL;DR: In this paper, a general linearly connected spacetime with a metric (L4, g) is shown to be an appropriate geometrical framework for general relativistic field theory.
Abstract: In Part I** of this series we have introduced the new notion of hypermomentum Δijk as a dynamical quantity characterizing classical matter fields. In Part II, as a preparation for a general relativistic field theory, we look for a geometry of spacetime which will allow for the accomodation of hypermomentum into general relativity. A general linearly connected spacetime with a metric (L4, g) is shown to be the appropriate geometrical framework
33 citations