Citation
Kinnersley, William Morris (1969) Type D gravitational fields. Dissertation (Ph.D.), California Institute of Technology. http://resolver.caltech.edu/CaltechETD:etd04272006094112
Abstract
The NewmanPenrose tetrad equations are set up for the principal tetrad of a Type D gravitational field in vacuum. With no further assumptions, the equations are integrated, yielding an exhaustive list of Type D vacuum metrics. The solutions all possess two commuting Killing vectors and depend on from one to four arbitrary constants. The Type D fields with expanding rays are six closely related versions of KerrNUT space, the EhlersKundt "C" metric, and a new generalization of the "C" metric possessing rotation. For zero expansion we find the three EhlersKundt "B" metrics, plus rotating generalizations of each. The six KerrNUT metrics are interpreted as spinning particles with timelike, lightlike, or spacelike momentum and angular momentum vectors occurring in all possible combinations. The "C" metric is tentatively identified as a gravitational analog of the runaway solutions encountered in electrodynamics, i. e. , a point mass executing hyperbolic motion. Next we consider Type D fields with electromagnetism present. We find that all of the above vacuum metrics can be readily "charged" by adding a nonnull electromagnetic field whose principal null vectors coincide with the gravitational ones. We also discuss some interesting generalizations of the Schwarzschild and "C" metrics containing the geometrical optics limit of a null electromagnetic field which propagates along one principal null congruence. In the Schwarzschild case they generalize Vaidya's "shining star" metric, to include the field of a particle traveling along an arbitrarily accelerated worldline.
Item Type:  Thesis (Dissertation (Ph.D.)) 

Degree Grantor:  California Institute of Technology 
Division:  Physics, Mathematics and Astronomy 
Major Option:  Physics 
Thesis Availability:  Public (worldwide access) 
Research Advisor(s): 

Group:  TAPIR 
Thesis Committee: 

Defense Date:  8 July 1968 
Record Number:  CaltechETD:etd04272006094112 
Persistent URL:  http://resolver.caltech.edu/CaltechETD:etd04272006094112 
Default Usage Policy:  No commercial reproduction, distribution, display or performance rights in this work are provided. 
ID Code:  1521 
Collection:  CaltechTHESIS 
Deposited By:  Imported from ETDdb 
Deposited On:  27 Apr 2006 
Last Modified:  18 Aug 2017 21:59 
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