Self-gravitating fluid in a conformally-flat space-time

Details Self-gravitating fluid in a conformally-flat space-time Self-gravitating fluid in a conformally-flat space-time

Nov 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987ap%26ss.138..121r&link_type=abstract

Astrophysics and Space Science (ISSN 0004-640X), vol. 138, no. 1, Nov. 1987, p. 121-125.

Statistics

Computation

Einstein Equations, Fluid Pressure, Flux Density, Gravitational Fields, Ideal Fluids, Space-Time Functions, Computational Astrophysics, Degrees Of Freedom, Self Consistent Fields

Scientific paper

The Einstein field equations for an irrotational perfect fluid with pressure p, equal to energy density are studied when the space-time is conformally flat. The coordinate transformation to co-moving coordinates is discussed. The energy and Hawking-Penrose inequalities are studied. Static and non-static solutions of the field equations are obtained. It is interesting to note that in the static case the only spherically-symmetric conformally flat solution for self-gravitating fluid is simply the empty flat space-time of general relativity.

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