Perfect fluids as possible sources of the Kerr metric

Details Perfect fluids as possible sources of the Kerr metric Perfect fluids as possible sources of the Kerr metric

Aug 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981gregr..13..771s&link_type=abstract

General Relativity and Gravitation, Volume 13, Issue 8, pp.771-776

Physics

3

Scientific paper

We prove that the far-field metric tensor of an arbitrary, gravitating perfect-fluid source can describe the far-field Kerr metric consistently to the post-Newtonian approximation. A specific physical meaning is given to the system of the Boyer-Lindquist coordinates by identifying its origin with the source's center of inertial mass, uniformly moving to post-Newtonian accuracy, and the radial coordinate with up to a known additive constant the isotropic, radial coordinate, measured from the center of inertial mass. The constants of the Kerr solution are identified with the source's inertial mass and angular momentum, known as three-dimensional volume integrals over the source's interior to post-Newtonian and Newtonian accuracy, respectively. It seems that the approximate description of the Kerr metric presented here is the only and the more general one valid consistently to the perfect-fluid first post-Newtonian approximation.

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