Generating spherically symmetric static perfect fluid solutions

dc.creatorFodor, Gyula
dc.date2000-11-12
dc.date.accessioned2026-07-07T03:25:23Z
dc.date.available2026-07-07T03:25:23Z
dc.descriptionBy a choice of new variables the pressure isotropy condition for spherically symmetric static perfect fluid spacetimes can be made a quadratic algebraic equation in one of the two functions appearing in it. Using the other variable as a generating function, the pressure and the density of the fluid can be expressed algebraically by the function and its derivatives. One of the functions in the metric can also be expressed similarly, but to obtain the other function, related to the redshift factor, one has to perform an integral. Conditions on the generating function ensuring regularity and physicality near the center are investiagted. Two everywhere physically well behaving example solutions are generated, one representing a compact fluid body with a zero pressure surface, the other an infinite sphere.
dc.description17 pages
dc.identifierhttps://arxiv.org/abs/gr-qc/0011040
dc.identifierhttp://arxiv.org/abs/gr-qc/0011040
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/33691
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleGenerating spherically symmetric static perfect fluid solutions
dc.typetext

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