Limits of the Tomimatsu-Sato gravitational field

Details Limits of the Tomimatsu-Sato gravitational field Limits of the Tomimatsu-Sato gravitational field

Dec 1974

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1974jmp....15.2121k&link_type=abstract

Journal of Mathematical Physics, vol. 15, Dec. 1974, p. 2121-2126.

Mathematics

14

Einstein Equations, Extremum Values, Gravitation Theory, Gravitational Fields, Rotating Bodies, Limits (Mathematics), Mathematical Models, Moments Of Inertia, Newton Theory, Oblate Spheroids, Potential Theory, Singularity (Mathematics), Theoretical Physics

Scientific paper

The Tomimatsu-Sato (TS) solutions of the Einstein field equations are studied in several limiting cases. In the weak-field limit we construct two Newtonian models for the source, one consisting of a rotating disk of radius a/n, the other made up of n complex point multipoles. The 'extreme' limit q = 1 is also examined in detail, and we find there are many distinct ways of taking this limit. We are thereby led to a new two-parameter family of exact solutions which, unlike the TS metrics, are not asymptotically flat.

Affiliated with

Also associated with

No associations

Rating

Limits of the Tomimatsu-Sato gravitational field does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Limits of the Tomimatsu-Sato gravitational field, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Limits of the Tomimatsu-Sato gravitational field will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1338284