Material and electromagnetic sources of the Kerr-Newman geometry

Journal Article · Mon Jul 11 04:00:00 EDT 1983 · J. Appl. Mech.; (United States)

DOI:https://doi.org/10.1007/BF02721084· OSTI ID:6497289

Lopez, C A

A method based on the theory of distributions, introduced to analyze Kerr's singularity, is extended to the study of the Kerr-Newman geometry. In this case both the metric tensor and the electromagnetic potential are considered to be distributions defined all over space-time. The second partial derivatives of these quantities, when inserted into the coupled Einstein-Maxwell equations, give distributions with support on the singular ring and equatorial disk. By this means the sources of Kerr-Newman's geometry are determined. They are consistent with a model of a charged material disk made out of a mixture of two surface fluids, gas and dust, rigidly rotating with angular velocity omega a exp -1. It is also verified that the material stress-energy tensor, as well as the electromagnetic-current vector, correctly reproduces the known asymptotic values of mass, charge and angular momentum of the collapsed object, provided due account is taken of the energy and angular momentum lying outside the source. Furthermore, a mapping of the electromagnetic field in the vicinity of the singularity is achieved by drawing the electric and magnetic lines of force. A close examination of the boundary conditions obeyed by these lines of force points to the conclusion that the massive equatorial disk is, in fact, a superconductor. 7 references.

• Research Organization: Universidad de Chile, Santiago, Chile
• OSTI ID: 6497289
• Journal Information: J. Appl. Mech.; (United States), Journal Name: J. Appl. Mech.; (United States) Vol. 76 B; ISSN JAMCA
• Country of Publication: United States
• Language: English

Related Subjects

640102* -- Astrophysics & Cosmology-- Stars & Quasi-Stellar
Radio & X-Ray Sources
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
DIELECTRIC PROPERTIES
DISTRIBUTION
EINSTEIN-MAXWELL EQUATIONS
ELECTRICAL PROPERTIES
EQUATIONS
FIELD EQUATIONS
GRAVITATIONAL COLLAPSE
KERR EFFECT
MASS
MATHEMATICAL MODELS
MOTION
PHYSICAL PROPERTIES
ROTATION
SPATIAL DISTRIBUTION
STAR MODELS
STARS
SUPERCONDUCTORS