ar X iv : g r - qc / 9 71 10 64 v 1 2 0 N ov 1 99 7 Riemann - Cartan Space - times of Gödel Type

X iv : g r - qc / 9 71 20 71 v 1 1 6 D ec 1 99 7 Riemannian Space - times of Gödel Type in Five Dimensions

The five-dimensional (5D) Riemannian Gödel-type manifolds are examined in light of the equivalence problem techniques, as formulated by Cartan. The necessary and sufficient conditions for local homogeneity of these 5D manifolds are derived. The local equivalence of these homogeneous Riemannian manifolds is studied. It is found that they are characterized by two essential parameters m 2 and ω : ...

ar X iv : g r - qc / 9 71 10 11 v 1 5 N ov 1 99 7 An exterior for the Gödel spacetime

We match the vacuum, stationary, cylindrically symmetric solution of Einstein's field equations with Λ, in a form recently given by Santos, as an exterior to an infinite cylinder of dust cut out of a Gödel universe. There are three cases, depending on the radius of the cylinder. Closed timelike curves are present in the exteriors of some of the solutions. There is a considerable similarity betw...

ar X iv : g r - qc / 9 71 10 36 v 1 1 1 N ov 1 99 7 Local Cosmic String In Generalised Scalar Tensor Theory

A recent investigation shows that a local gauge string with a phenomenological energy momentum tensor, as prescribed by Vilenkin, is inconsistent in Brans-Dicke theory. In this work it has been shown that such a string is consistent in a more general scalar tensor theory where ω is function of the scalar field.A set of solutions of full nonlinear Einstein's equations for interior region of such...

ar X iv : g r - qc / 9 51 10 48 v 1 1 6 N ov 1 99 5 Two lectures on Two - Dimensional Gravity ∗

ar X iv : g r - qc / 9 71 10 45 v 1 1 3 N ov 1 99 7 Gravitational Capture of Cosmic Strings by a Black Hole ∗

The gravitational interaction of an infinitely long cosmic string with a Schwarzschild black hole is studied. We consider a straight string that is initially at a great distance and moving at some initial velocity v (0 < v < c) towards the black hole. The equations of motion of the string are solved numerically to obtain the dependence of the capture impact parameter on the initial velocity. PA...