A static cylindrically symmetric solution for perfect fluid in general relativity

Journal Article · Sat Jul 01 00:00:00 EDT 1989 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.528289· OSTI ID:6035224

Davidson, W

A solution of Einstein's equations for a stationary cylindrically symmetricperfect fluid is presented. The extent of the fluid is radially infinite but theproper density ..mu.. and pressure /ital p/ are physically well behaved everywhere. Onthe axis ..mu.. and /ital p/ are finite and positive. As the radial coordinate /rho/increases ..mu.. and /ital p/ decrease monotonically to zero at infinity. The ratio/ital p//..mu..(/lt/1) also steadily decreases. It is shown that the regularity conditionat the axis is satisfied. The solution is algebraically general of Petrov typeI.

• Research Organization: Mathematics Department, University of Otago, Dunedin, New Zealand(GB)
• OSTI ID: 6035224
• Journal Information: J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 30:7; ISSN JMAPA
• Country of Publication: United States
• Language: English

Related Subjects

657003* -- Theoretical & Mathematical Physics-- Relativity & Gravitation
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CONFIGURATION
CYLINDRICAL CONFIGURATION
EINSTEIN FIELD EQUATIONS
EQUATIONS
FIELD EQUATIONS
FLUIDS
GALERKIN-PETROV METHOD
ITERATIVE METHODS
SPACE-TIME
STEADY-STATE CONDITIONS
SYMMETRY