Quartic equations and classification of Riemann tensors in general relativity

Details Quartic equations and classification of Riemann tensors in general relativity Quartic equations and classification of Riemann tensors in general relativity

Publishing date

Sep 1991

URL

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991gregr..23.1023a&link_type=abstract

Journals

General Relativity and Gravitation, Volume 23, Issue 9, pp.1023-1055

Science

Computer Science

Additional info 2

5

Type

Scientific paper

Abstract

For space-times in general relativity, the Petrov classification of the Weyl conformai curvature and the Plebański or Segre classification of the Ricci tensor each depend on the properties of the roots of quartic equations. The coefficients in these quartic equations are in general complicated functions of the space-time coordinates. We review the general theory of quartic equations, and discuss algorithms for determining the existence and values of multiple roots. We consider practical implementation of an algorithm and the consequent Petrov classification. Tests of programs embodying this algorithm, using the computer algebra system CLASSI based on SHEEP, are reported.

Affiliated with

Also associated with

No associations

Rating

Quartic equations and classification of Riemann tensors in general relativity 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 Quartic equations and classification of Riemann tensors in general relativity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quartic equations and classification of Riemann tensors in general relativity will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1339802