Some solutions of stationary, axially-symmetric gravitational field equations. [solutions for vacuum, perfect fluid, and massless scalar fields]

Journal Article · Thu Dec 01 00:00:00 EST 1977 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.523219· OSTI ID:5390650

Guerses, M

Stationary, axially-symmetric solutions of the gravitational field equations for vacuum, perfect fluid, and massless scalar field are considered. For the vacuum case, a similiar formulation to the one introduced by Ernst is presented by use of quarternions. Null dust solutions are found, and it is shown that they match with the van Stockum exterior solutions. An extension of the theorem by Eris and Guerses is given which enables one to construct solutions to the gravitational field equations coupled with a charged dust and a massless scalar field from the solutions of the field equations coupled only with a charged dust.

• Research Organization: Physics Department, Middle East Technical University, Ankara, Turkey
• OSTI ID: 5390650
• Journal Information: J. Math. Phys. (N.Y.); (United States), Vol. 18:12
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
EINSTEIN FIELD EQUATIONS
ANALYTICAL SOLUTION
FLUIDS
GENERAL RELATIVITY THEORY
GRAVITATIONAL FIELDS
SCALAR FIELDS
VACUUM STATES
EQUATIONS
FIELD EQUATIONS
FIELD THEORIES
657003* - Theoretical & Mathematical Physics- Relativity & Gravitation