Relativistic velocity singularities

Relativistic and non-relativistic fluid equations can exhibit finite time singular solutions including density singularities appearing in collapse or compression systems and gradient singularities in shock waves. However, only the non-relativistic fluid equations have been shown to exhibit finite-ti...

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Bibliographic Details
Published inarXiv.org
Main Author Gagen, M J
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 27.05.2002
Subjects
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Longitudinal waves
Mathematical analysis
Relativism
Relativistic effects
Relativistic velocity
Shock waves
Singularities
Velocity
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Summary:Relativistic and non-relativistic fluid equations can exhibit finite time singular solutions including density singularities appearing in collapse or compression systems and gradient singularities in shock waves. However, only the non-relativistic fluid equations have been shown to exhibit finite-time velocity singularities, v tending to infinity in this regime. As this limit violates the cosmic speed limit v<c, where c is the speed of light, it is unclear how velocity singularity source terms in the non-relativistic equations are modified in the relativistic equations. This paper uses a driven system to demonstrate that singular points within the relativistic fluid equations can generate finite time relativistic velocity singularities v tending to c.
ISSN:2331-8422