A self-similar dynamics in viscous spheres

DOI10.1023/A:1018812714524zbMath0925.53032arXivgr-qc/0508056OpenAlexW2136819563MaRDI QIDQ1267040

K. Appert

Publication date: 21 March 1999

Published in: General Relativity and Gravitation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/gr-qc/0508056

zbMATH Keywords

barotropic equation of statehomothetic symmetryself-similar collapse

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.) (83C55)

Related Items (2)

Homothetic motion in a Bianchi type-I model in Lyra geometry ⋮ Homothetic vector field in plane symmetric Bianchi type-I cosmological model in Lyra geometry

Cites Work

• Exploding radiating viscous spheres in general relativity
• Null charts and naked singularities in spherically symmetric, homothetic spacetimes
• Homothetic transformations with fixed points in spacetime
• An equation of state for radiating dissipative spheres in general relativity
• Naked singularities in a self-similar Tolman-Bondi spacetime
• Evolution of radiating viscous spheres and gravitational collapse
• Conformal symmetries and fixed points in space-time
• Kinematic self-similarity
• Spherically symmetric, self-gravitating dust is always 'self-similar'
• Homothetic motion in radiating and dissipative spheres
• The contraction of gravitating spheres

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