2 research outputs found
Algebraically special axisymmetric solutions of the higher-dimensional vacuum Einstein equation
A d-dimensional spacetime is "axisymmetric" if it possesses an SO(d-2)
isometry group whose orbits are (d-3)-spheres. In this paper, algebraically
special, axisymmetric solutions of the higher dimensional vacuum Einstein
equation (with cosmological constant) are investigated. Necessary and
sufficient conditions for static axisymmetric solutions to belong to different
algebraic classes are presented. Then general (possibly time-dependent)
axisymmetric solutions are discussed. All axisymmetric solutions of algebraic
types II, D, III and N are obtained.Comment: 28 page
Gravitation: following the Prague inspiration : a volume in celebration of the 60th birthday of Jiri Bicak
This volume is dedicated to Jirí Bicák on the occasion of his 60th birthday. The authors are his former students who currently work in the fields of general relativity, astrophysics, theoretical physics and cosmology. Unlike in traditional Festschrifts with many short contributions, they present several comprehensive surveys and elaborate original works. The subjects range from the motion of stars in galactic nuclei to quantum mechanics on a boundary, and include current topics such as cosmological perturbations, effects of a repulsive cosmological constant, discs around black holes and gravi