A static axisymmetric anisotropic fluid solution in general relativity

Details A static axisymmetric anisotropic fluid solution in general relativity A static axisymmetric anisotropic fluid solution in general relativity

Nov 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990ap%26ss.173...47h&link_type=abstract

Astrophysics and Space Science (ISSN 0004-640X), vol. 173, no. 1, Nov. 1990, p. 47-51.

Astronomy and Astrophysics

Astrophysics

1

Anisotropic Fluids, Relativity, Space-Time Functions, Tensor Analysis

Scientific paper

The Einstein field equations for an anisotropic fluid in a static axisymmetric space-time are investigated theoretically. The derivation of the equations is reviewed; additional assumptions are introduced; an exact two-parameter analytical solution is obtained; and its properties are briefly discussed. For alpha x beta = 0, the solution is found to reduce to a physically meaningful one-parameter solution; e.g., an anisotropic fluid core. The need for a corresponding shell solution is indicated.

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