Astronomy and Astrophysics – Astrophysics
Scientific paper
Jul 1977
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977doukr......643p&link_type=abstract
Akademiia Nauk Ukrains'koi RSR, Dopovidi, Seriia A - Fiziko-Matematichni ta Tekhnichni Nauki, July 1977, p. 643-647. In Ukraini
Astronomy and Astrophysics
Astrophysics
Astrophysics, Gravitation Theory, Relativity, Rotating Matter, Space-Time Functions, Galactic Nuclei, Metric Space, Pulsars, Quasars
Scientific paper
A family of exact solutions is obtained to the Einstein field equations for a metric with rotation for a matter-filled universe. The equations contain an energy-momentum tensor of sufficiently general form. The family depends on a functional parameter defined as one of the real roots of a fourth-degree algebraic equation with known coefficients. For each solution of the family, the lines of equal mass density are interpreted as the permissible equilibrium configurations of such rotating supermassive objects as pulsars, quasars, and galactic nuclei.
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