New large family of vacuum solutions of the equations of general relativity

Journal Article · Sat Mar 15 00:00:00 EST 1980 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.21.1695· OSTI ID:5467317

Harrison, B K

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), Vol. 21:6
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
GENERAL RELATIVITY THEORY
VACUUM STATES
EINSTEIN FIELD EQUATIONS
METRICS
SOLITONS
WAVE EQUATIONS
WEYL UNIFIED THEORY
DIFFERENTIAL EQUATIONS
EQUATIONS
FIELD EQUATIONS
FIELD THEORIES
QUASI PARTICLES
657003* - Theoretical & Mathematical Physics- Relativity & Gravitation
645400 - High Energy Physics- Field Theory