Some new stationary axisymmetric asymptotically flat space-times obtained from Painleve transcendents

Journal Article · Tue Mar 01 04:00:00 EST 1988 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.528201· OSTI ID:5472193

Persides, S; Xanthopoulos, B C

For the stationary axisymmetric Einstein vacuum equations in cylindrical coordinates we find that both the Ernst equation and the two real equations which alternatively describe the stationary axisymmetric problem separate, leading to Painleve transcendents. The boundary and asymptotic behaviors of the resulting space-times are investigated in both cases. Two families of solutions are determined which, away from the symmetry axis, become asymptotically flat. The analysis provides an example to the conjecture that the Painleve property implies integrability.

• Research Organization: University of Chicago, Chicago, Illinois 60637 and Department of Astronomy, University of Thessaloniki, Thessaloniki, Greece
• OSTI ID: 5472193
• Journal Information: J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 29:3; ISSN JMAPA
• Country of Publication: United States
• Language: English

Related Subjects

657003* -- Theoretical & Mathematical Physics-- Relativity & Gravitation
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ASYMPTOTIC SOLUTIONS
AXIAL SYMMETRY
BOUNDARY CONDITIONS
BOUNDARY-VALUE PROBLEMS
COORDINATES
EINSTEIN FIELD EQUATIONS
EQUATIONS
FIELD EQUATIONS
FIELD THEORIES
GENERAL RELATIVITY THEORY
SPACE-TIME
SYMMETRY