New large family of vacuum solutions of the equations of general relativity
Journal Article
·
· Phys. Rev., D; (United States)
A Baecklund transformation for the Ernst equation of general relativity, published earlier by this author, is used to derive a new large family of vacuum metrics with two commuting Killing vectors from the family of Weyl or Einstein-Rosen metrics. Thus, any solution of the axially symmetric Laplace or wave equation yields a solution of the Ernst equation. Asymptotically flat Weyl metrics yield new asymptotically flat metrics. The solutions are nonstationary and may exhibit solitonlike behavior.
- Research Organization:
- Department of Physics and Astronomy, Brigham Young University, Provo, Utah 84602
- OSTI ID:
- 5467317
- Journal Information:
- Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 21:6; ISSN PRVDA
- Country of Publication:
- United States
- Language:
- English
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