Separability of string equilibrium equations in a generalised Kerrde Sitter background
Abstract
The equilibrium conditions for a cosmic string in a stationary asymptotically flat Kerr black hole background have recently been shown to be separable. It is shown here that the algebraic conditions for the background metric to allow such separability are more restrictive than those required merely for simple geodesic HamiltonJacoby separability. However, they are not more severe than, but just equivalent to, those required for separation of the scalar wave equation as well, for which the corresponding vacuum solutions of the EinsteinMaxwell equations with the cosmological A term have turned out to satisfy even more restrictive conditions giving higher spin separability. This class of solutions in which the string equilibrium equations are thus automatically separable (in the rest frame of the primary Killing vector) includes members interpretable as representing equilibrium states of a rotating black hole in an asymptotically de Sitter background.
 Publication:

Classical and Quantum Gravity
 Pub Date:
 May 1989
 DOI:
 10.1088/02649381/6/5/002
 Bibcode:
 1989CQGra...6..569C
 Keywords:

 Black Holes (Astronomy);
 Cosmology;
 Equilibrium Equations;
 String Theory;
 Astronomical Models;
 Asymptotic Properties;
 Separation;
 Astrophysics