Static spherically-symmetric perfect fluids with pressure equal to energy density

Details Static spherically-symmetric perfect fluids with pressure equal to energy density Static spherically-symmetric perfect fluids with pressure equal to energy density

Dec 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991ap%26ss.186..331y&link_type=abstract

Astrophysics and Space Science (ISSN 0004-640X), vol. 186, no. 2, Dec. 1991, p. 331-336.

Physics

Einstein Equations, Field Theory (Physics), Fluid Pressure, Ideal Fluids, Relativity, Baryons, Equations Of State, Fermi Liquids, Symmetry

Scientific paper

An exact, static, and spherically-symmetric solution is presented of Einstein's field equations for a homogeneous perfect fluid core surrounded by a field of Zel'dovich's fluid which is asymptotically homaloidal. The equation of state for the fluid is taken as p = p, which describes several important cases, e.g., radiation, relativistic degenerate Fermi gas, and probably very dense baryon matter. If the fluid satisfies p = p and if in addition its motion is irrotational, then such a source has the same stress energy tensor as that of a massless scalar field.

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