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26 April 2024
 
  » arxiv » 1009.5492

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Classification of Hypercylindrical Spacetimes with Momentum Flow
Hyeong-Chan Kim ; Gungwon Kang ; Jungjai Lee ; Youngone Lee ;
Date 28 Sep 2010
AbstractWe study the behavior of ADM mass, tension and momentum densities characterizing asymptotically hypercylindrical metrics in five-dimensional spacetime under boosts along the cylindrical axis. For such string-like metrics two boost-invariant quantities are found, which are a sort of "string rest mass-squared" and the sum of mass and tension densities. Analogous to the case of a moving point particle, we show that the asymptotically hypercylindrical geometries can be classified into three types depending on the value of the "string rest mass-squared", namely, "ordinary string", "null string" and "tachyon-like string" geometries. This asymptotic analysis shows that the extraordinary metrics reported recently by some of the authors belong to the "tachyon-like string". Consequently, it is likely that such extraordinary solutions are the final states of tachyonic matter collapse. We also report two new vacuum solutions which belong to the "null string" and the "tachyon-like string", respectively.
Source arXiv, 1009.5492
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