Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

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

Journal Article · · J. Math. Phys. (N.Y.); (United States)
DOI:https://doi.org/10.1063/1.523219· OSTI ID:5390650

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), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 18:12; ISSN JMAPA
Country of Publication:
United States
Language:
English

Similar Records

Stationary axially-symmetric solutions of Einstein--Maxwell-massless scalar field equations
Journal Article · Fri Jul 01 00:00:00 EDT 1977 · J. Math. Phys. (N.Y.); (United States) · OSTI ID:7258715

Stationary axially symmetric coupled Einstein-Maxwell-scalar fields
Journal Article · Sun May 15 00:00:00 EDT 1977 · Phys. Rev., D; (United States) · OSTI ID:7310317

Stationary axially symmetric Einstein--Maxwell scalar and Brans--Dicke--Maxwell fields
Journal Article · Wed Dec 31 23:00:00 EST 1980 · J. Math. Phys. (N.Y.); (United States) · OSTI ID:6674889