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Self-gravitating relativistic fluids: A two-phase model. (English) Zbl 0841.76097

The paper presents a rigorous, detailed and thorough discussion of the general relativistic hydrodynamics of perfect fluid, in the case of spherically symmetric collapse. The assumed model of fluid – soft phase with zero sound velocity and hard phase with sound velocity equal to the velocity of light – is highly idealized, but it may serve as a guide to future investigations using more realistic models. The Cauchy problems for external soft phase as well as for inner hard phase are analyzed taking into account the phase transition between phases.

MSC:

76Y05 Quantum hydrodynamics and relativistic hydrodynamics
83C55 Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.)
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