Rotating perfect fluids in (2+1)-dimensional Einstein gravity

Details Rotating perfect fluids in (2+1)-dimensional Einstein gravity Rotating perfect fluids in (2+1)-dimensional Einstein gravity

Mar 2004

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004phrvd..69f4015c&link_type=abstract

Physical Review D, vol. 69, Issue 6, id. 064015

Mathematics

Logic

1

Exact Solutions, Einstein-Maxwell Spacetimes, Spacetimes With Fluids, Radiation Or Classical Fields

Scientific paper

Stationary rotationally symmetric perfect fluid spacetimes are studied. We formulate the Einstein equations with a cosmological constant in a corotating Lorentz triad, and all stationary symmetric perfect fluid solutions to 2+1 Einstein gravity are derived. Stationary spacetimes containing perfect fluids with a constant energy density and a linear or a polytropic barotropic equation of state are explicitly shown. All known static circularly symmetric perfect fluid spacetimes can be obtained from the here derived stationary cosmological perfect fluid solutions.

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