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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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TL;DR: In this paper, a simple theorem whose physical interpretation is that an isolated, gravitating body in general relativity moves approximately along a geodesic is obtained, and the theorem is proved.
Abstract: A simple theorem, whose physical interpretation is that an isolated, gravitating body in general relativity moves approximately along a geodesic, is obtained.
109 citations
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TL;DR: In this article, Amelino-Camelia and Smolin and Magueijo proposed doubly special Relativity theories (DSR1 and DSR2), which differ from Lorentz invariance.
Abstract: GeV) shouldherald departures from Lorentz invariance, and the possibility of testing these expectations in thenot too distant future, two so-called “Doubly Special Relativity” theories have been suggested —the first by Amelino-Camelia (DSR1) and the second by Smolin and Magueijo (DSR2). Thesetheories contain two fundamental scales — the speed of light and an energy usually taken to beE
108 citations
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TL;DR: In this article, the authors studied the free boundary problem for compressible Euler equations with a vacuum boundary condition and proved the local-in-time existence in Sobolev spaces.
Abstract: We study the free boundary problem for the equations of compressible Euler equations with a vacuum boundary condition. Our main goal is to recover in Eulerian coordinates the earlier well-posedness result obtained by Lindblad [11] for the isentropic Euler equations and extend it to the case of full gas dynamics. For technical simplicity we consider the case of an unbounded domain whose boundary has the form of a graph and make short comments about the case of a bounded domain. We prove the local-in-time existence in Sobolev spaces by the technique applied earlier to weakly stable shock waves and characteristic discontinuities [5, 21]. It contains, in particular, the reduction to a fixed domain, using the "good unknown" of Alinhac [1], and a suitable Nash-Moser-type iteration scheme. A certain modification of such an approach is caused by the fact that the symbol associated to the free surface is not elliptic. This approach is still directly applicable to the relativistic version of our problem in the setting of special relativity, and we briefly discuss its extension to general relativity. © 2009 Wiley Periodicals, Inc.
107 citations
01 Sep 1998
TL;DR: In this article, the authors argue that Lorentzian relativity better describes nature than special relativity, and that the link between relativity and the causality principle involves issues of the meaning of gravitational waves and curved space-time analogies.
Abstract: Laboratory, solar system, and astrophysical experiments for the “speed of gravity” yield a lower limit of 2 × 1010c. The link between relativity and the causality principle involves issues of the meaning of gravitational waves and curved space-time analogies. Apparently, Lorentzian relativity better describes nature than special relativity.
107 citations
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TL;DR: The special issue dedicated by the journal Universe to the General Theory of Relativity, the beautiful theory of gravitation of Einstein, a century after its birth as mentioned in this paper, reviewed some of its key features in a historical perspective, and, in welcoming distinguished researchers from all over the world to contribute it, some of the main topics at the forefront of current research are outlined.
Abstract: The present Editorial introduces the Special Issue dedicated by the journal Universe to the General Theory of Relativity, the beautiful theory of gravitation of Einstein, a century after its birth. It reviews some of its key features in a historical perspective, and, in welcoming distinguished researchers from all over the world to contribute it, some of the main topics at the forefront of the current research are outlined.
107 citations