Jerry B. Griffiths

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We explicitly demonstrate that the known solutions for expanding impulsive spherical gravitational waves that have been obtained by a " cut and paste " method may be considered to be impulsive limits of the Robinson–Trautman vacuum type N solutions. We extend these results to all the generically distinct subclasses of these solutions in Minkowski, de Sitter(More)
The complete family of exact solutions representing accelerating and rotating black holes with possible electromagnetic charges and a NUT parameter is known in terms of a modified Pleba´nski–Demia´nski metric. This demonstrates the singularity and horizon structure of the sources but not that the complete space-time describes two causally separated black(More)
Exact solutions for nonexpanding impulsive waves in a background with nonzero cosmological constant are constructed using a " cut and paste " method. These solutions are presented using a unified approach which covers the cases of de Sitter, anti-de Sitter and Minkowski backgrounds. The metrics are presented in continuous and distributional forms, both of(More)
A class of exact solutions of the Einstein–Maxwell equations is presented which describes an accelerating and rotating charged black hole in an asymptotically de Sitter or anti-de Sitter universe. The metric is presented in a new and convenient form in which the meaning of the parameters is clearly identified, and from which the physical properties of the(More)
An exact solution of Einstein's equations which represents a pair of accelerating and rotating black holes (a generalised form of the spinning C-metric) is presented. The starting point is a form of the Pleba´nski–Demia´nski metric which, in addition to the usual parameters, explicitly includes parameters which describe the acceleration and angular velocity(More)
A method is presented for solving the characteristic initial-value problem for the collision and subsequent nonlinear interaction of plane gravitational or gravitational and electromagnetic waves in a Minkowski background. This method generalizes the monodromy-transform approach to fields with nonanalytic behavior on the characteristics inherent to waves(More)
The C-metric is usually understood as describing two black holes which accelerate in opposite directions under the action of some conical singularity. Here, we examine all the solutions of this type which represent accelerating sources and investigate the null limit in which the accelerations become unbounded. We show that the resulting space-times(More)