A Rotating Incompressible Perfect Fluid Space-time as Source for the nut Metric

Details A Rotating Incompressible Perfect Fluid Space-time as Source for the nut Metric A Rotating Incompressible Perfect Fluid Space-time as Source for the nut Metric

Dec 1998

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998tx19.confe.111g&link_type=abstract

Abstracts of the 19th Texas Symposium on Relativistic Astrophysics and Cosmology, held in Paris, France, Dec. 14-18, 1998. Eds.:

Astronomy and Astrophysics

Astrophysics

Scientific paper

A rigidly rotating incompressible perfect fluid solution of the Einstein's gravitational equations is given. The Petrov type is D and the metric admits a four-parameter isometry group. The Gaussian curvature of the instantaneous constant-pressure surfaces is positive and they have two ring-shaped cusps. The perfect fluid solution is matched along the hypersurfaces of vanishing pressure with the stationary region of the Taub-NUT space-time, thus the interpretation as the core for a negative mass NUT metric is immediate. The matching procedure leaves one parameter in the global solution.

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