ADDENDUM: Barotropic perfect fluid in steady cylindrically symmetric rotation: II

Details ADDENDUM: Barotropic perfect fluid in steady cylindrically symmetric rotation: II ADDENDUM: Barotropic perfect fluid in steady cylindrically symmetric rotation: II

Jun 1999

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999cqgra..16.2135d&link_type=abstract

Classical and Quantum Gravity, Volume 16, Issue 6, pp. 2135-2141 (1999).

Computer Science

2

Scientific paper

Three additional (Petrov type I) metrics with parameter icons/Journals/Common/gamma" ALT="gamma" ALIGN="TOP"/> in the range 1icons/Journals/Common/leq" ALT="leq" ALIGN="TOP"/>2 (p = (icons/Journals/Common/gamma" ALT="gamma" ALIGN="TOP"/>-1)µ, icons/Journals/Common/gamma" ALT="gamma" ALIGN="TOP"/> = constant) are given to complement the restricted range (3/2)icons/Journals/Common/leq" ALT="leq" ALIGN="TOP"/>2 of a previous paper (Davidson W 1997 Class. Quantum Grav. 14 119), for a rigidly rotating, stationary, cylindrically symmetric, barotropic perfect fluid. These are for icons/Journals/Common/gamma" ALT="gamma" ALIGN="TOP"/> = (3/2), for 2(6+(3)1/2 )/11 (~1.41)<(3/2), and for 1<(4/3). As in the previous paper, the metrics are in terms of simple algebraic functions. The solutions are well behaved, free of singularity and with the pressure p and density µ, acceleration and spin, all finite and vanishing at radial infinity.

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