Physics
Scientific paper
Jul 1988
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988gregr..20..635h&link_type=abstract
General Relativity and Gravitation, Volume 20, Issue 7, pp.635-646
Physics
18
General Relativity, Relativistic Fluids
Scientific paper
A new class of exact solutions of Einstein's field equations with the energy-momentum tensor of a perfect fluid is given. The class of solutions is invariantly characterized by means of the following properties: (i) The energy-momentum tensor describes a perfect fluid. (ii) There are two commuting Killing vectors ξ andη which form an abelian groupG 2 of motion. (iii) There is a timelike Killing vector parallel to the four-velocity of the fluid (rigid rotation of the fluid). (iv) The four-vector of the angular velocity of the fluid is a gradient ? i=-(1/4c)ɛirklUl (Ur:k-Uk:r)=χ' i. The last assumption is the reason that all solutions of this class can be found by solving an ordinary differential equation of the second order.
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