4 papers
Asymptotic properties of the C-Metric
Pavel Sladek, Daniel J. Finley
The aim of this article is to analyze the asymptotic properties of the C-metric, using a general method specified in work of Tafel and coworkers, [1], [2], [3]. By finding an appro…
An Iterative Approach to Twisting and Diverging, Type N, Vacuum Einstein Equations: A (Third-Order) Resolution of Stephani's `Paradox'
J. D. Finley, III, J. F. Plebański +1
In 1993, a proof was published, within ``Classical and Quantum Gravity,'' that there are no regular solutions to the {\it linearized} version of the twisting, type-N, vacuum soluti…
Estabrook-Wahlquist Prolongations and Infinite-Dimensional Algebras
J. D. Finley, III
Detailed mappings between zero-curvture equations for prolongation structures of nonlinear pde's and Estabrook-Wahlquist algorithms for same are given. The differences are exemplif…
Infinite-Dimensional Estabrook-Wahlquist Prolongations for the sine-Gordon Equation
J. D. Finley, III, John K. McIver
We are looking for the universal covering algebra for all symmetries of a given pde, using the sine-Gordon equation as a typical example for a non-evolution equation. For non-evolu…