About: Relative Motions of Free Test Particles in Robinson-Trautman Spacetimes of Any Dimension     Goto   Sponge   NotDistinct   Permalink

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Description
  • Using the invariant form of equation of geodesic deviation we analyze the relative deformations of a congruence of free test particles in general non-twisting, shearfree and expanding geometries. In four dimensions this class of exact solutions includes important classes of expanding gravitational waves. On the other hand, higher-dimensional Robinson-Trautman spacetimes can only be of algebraic type D. We emphasize the difference between the standard four-dimensional solutions and their arbitrary-dimensional extensions from the physical point of view of a geodesic observer.
  • Using the invariant form of equation of geodesic deviation we analyze the relative deformations of a congruence of free test particles in general non-twisting, shearfree and expanding geometries. In four dimensions this class of exact solutions includes important classes of expanding gravitational waves. On the other hand, higher-dimensional Robinson-Trautman spacetimes can only be of algebraic type D. We emphasize the difference between the standard four-dimensional solutions and their arbitrary-dimensional extensions from the physical point of view of a geodesic observer. (en)
Title
  • Relative Motions of Free Test Particles in Robinson-Trautman Spacetimes of Any Dimension
  • Relative Motions of Free Test Particles in Robinson-Trautman Spacetimes of Any Dimension (en)
skos:prefLabel
  • Relative Motions of Free Test Particles in Robinson-Trautman Spacetimes of Any Dimension
  • Relative Motions of Free Test Particles in Robinson-Trautman Spacetimes of Any Dimension (en)
skos:notation
  • RIV/00216208:11320/14:10291355!RIV15-MSM-11320___
http://linked.open...avai/riv/aktivita
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  • I, P(GA202/09/0772), P(GAP203/12/0118), Z(MSM0021620860)
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
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  • 42065
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  • RIV/00216208:11320/14:10291355
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  • test particles; Robinson-Trautman spacetimes; higher dimensions; general relativity (en)
http://linked.open.../riv/klicoveSlovo
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  • [7217F622DB3F]
http://linked.open...v/mistoKonaniAkce
  • University of Minho, Guimarães, Portugal
http://linked.open...i/riv/mistoVydani
  • Berlin, Heidelberg
http://linked.open...i/riv/nazevZdroje
  • Progress in Mathematical Relativity, Gravitation and Cosmology
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  • Podolský, Jiří
  • Švarc, Robert
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http://linked.open...n/vavai/riv/zamer
issn
  • 2194-1009
number of pages
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  • 10.1007/978-3-642-40157-2_63
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  • Springer-Verlag
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  • 978-3-642-40156-5
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  • 11320
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