Published June 1986 | Version v1
Journal article

Gravitational perturbations of algebraically special space-times via the HH equation

  • 1. Departamento de Fisica Matematica, Instituto de Ciencias de la Universidad Autonoma de Puebla, Puebla, Mexico and Departamento de Fisica, Centro de Investigacion y de Estudios Avanzados del Instituto Politecnico Nacional, Apartado Postal 14-740, 07000 Mexico, D. F., Mexico

Description

By using the approach to the Einstein field equations based on the existence of a congruence of null two-dimensional surfaces, it is shown that a scalar potential that satisfies a second-order linear partial differential equation generates gravitational perturbations of a given algebraically special solution of the Einstein vacuum field equations with cosmological constant. Generalizations of this result to the case of simultaneous perturbations of the gravitational and the matter fields are also indicated

Additional details

Publishing Information

Journal Title
J. Math. Phys. (N.Y.)
Journal Volume
27
Journal Issue
6
Series
J. Math. Phys. (N.Y.).
Journal Page Range
1586-1588
ISSN
0022-2488
CODEN
JMAPA