No data available.

Please log in to see this content.

You have no subscription access to this content.

No metrics data to plot.

The attempt to load metrics for this article has failed.

The attempt to plot a graph for these metrics has failed.

The full text of this article is not currently available.

A Method for Generating New Solutions of Einstein's Equation. II

### Abstract

A scheme is introduced which yields, beginning with any source‐free solution of Einstein's equation with two commuting Killing fields for which a certain pair of constants vanish (e.g., the exterior field of a rotating star), a family of new exact solutions. To obtain a new solution, one must specify an arbitrary curve (up to parametrization) in a certain three‐dimensional vector space. Thus, a single solution of Einstein's equationgenerates a family of new solutions involving two arbitrary functions of one variable. These transformations on exact solutions form a non‐Abelian group. The extensive algebraic structure thereby induced on such solutions is studied.

© 1972 The American Institute of Physics

Received 20 August 1971
Published online 31 October 2003