Stationary Axisymmetric Gravitational Fields Research Articles

Classifying stationary axisymmetric gravitational fields

The classification schemes of Levy and Ernst for stationary axisymmetric gravitational fields are briefly discussed, and the solution of Gurses and Guven is shown to be a special case of a known class of solutions. (AIP)

Hamiltonian technique for the construction of asymptotically flat metrics. I. Stationary axisymmetric gravitational field

As a first step towards the investigation of more general asymptotically flat metrics, a new technique is devised which, within the framework of the Hamilton formalism and using proper boundary conditions for a stationary axisymmetric gravitational field, yields the Kerr metric. This metric appears as a 'first-order correction' with respect to the Schwarzschild metric which is built into the more general metric. This goal can only be attained if one introduces so called 'kinematical momenta'. A physical interpretation of these momenta becomes possible if one studies the force exerted by the Kerr field on a spinning test particle.

Classification of stationary axisymmetric gravitational fields

A gravitational stress tensor is defined for an arbitrary axisymmetric stationary metric, and the stationary solutions of Weyl, Lewis, Papapetrou, Kerr, Marek and Newman, Unti and Tamburino are classified by expressing them in a single canonical co-ordinate system.