Physical properties of Buchdahl's three-parameter static spherically symmetric perfect fluid metrics

Details Physical properties of Buchdahl's three-parameter static spherically symmetric perfect fluid metrics Physical properties of Buchdahl's three-parameter static spherically symmetric perfect fluid metrics

May 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990gregr..22..539w&link_type=abstract

General Relativity and Gravitation, Volume 22, Issue 5, pp.539-552

Computer Science

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The physical properties of a static spherically symmetric perfect fluid metric proposed by Buchdahl are investigated. The general solution can be written in terms of associated Legendre functions. If the adiabatic sound speed is to be less than the velocity of light at the boundary of the sphere, its radius will be larger than 1.238 times the Schwarzschild radius. Two particular solutions are studied in detail.

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