Bulletin of the American Physical Society
APS April Meeting 2019
Volume 64, Number 3
Saturday–Tuesday, April 13–16, 2019; Denver, Colorado
Session X11: Exact Solutions and Mathematical Relativity
10:45 AM–12:09 PM,
Tuesday, April 16, 2019
Sheraton
Room: Governor's Square 17
Sponsoring
Unit:
DGRAV
Chair: Sam Gralla, University of Arizona
Abstract: X11.00007 : Spacetime Groups*
11:57 AM–12:09 PM
View Presentation Abstract
Presenter:
Charles Torre
(Utah State University)
Authors:
Charles Torre
(Utah State University)
Ian Anderson
(Utah State University)
We give a classification of spacetime groups: simply connected four-dimensional spacetimes which admit a simply transitive four-dimensional isometry group. Our classification scheme, which is based upon the Newman-Penrose formalism and standard Lie algebraic invariants, yields 29 distinct classes of spacetime groups. We give a general solution to the equivalence problem for spacetime groups, that is, given a spacetime group we show how to uniquely determine where it belongs in our classification. We have made an extensive study of the Einstein equations with various matter sources for each spacetime group and we have closed a number of open problems in the exact solution literature.
*This work was supported in part by National Science Foundation Grant ACI-1642404 to Utah State University.
Follow Us |
Engage
Become an APS Member |
My APS
Renew Membership |
Information for |
About APSThe American Physical Society (APS) is a non-profit membership organization working to advance the knowledge of physics. |
© 2024 American Physical Society
| All rights reserved | Terms of Use
| Contact Us
Headquarters
1 Physics Ellipse, College Park, MD 20740-3844
(301) 209-3200
Editorial Office
100 Motor Pkwy, Suite 110, Hauppauge, NY 11788
(631) 591-4000
Office of Public Affairs
529 14th St NW, Suite 1050, Washington, D.C. 20045-2001
(202) 662-8700