Curvature structure in general relativity
Journal Article
·
· J. Math. Phys. (N.Y.); (United States)
This paper investigates the extent to which the curvature structure of space-time determines the metric stucture. It continues the work of earlier papers by prescribing the curvature structure and the curvature covariant derivatives up to certain orders. It is shown that, with the exception of the so-called generalized pp waves, the curvature and its first and second covariant derivatives essentially determine the metric up to coordinate transformations.
- Research Organization:
- Department of Mathematics, University of Aberdeen, Edward Wright Building, Dunbar Street, Aberdeen AB9 2TY, Scotland
- OSTI ID:
- 5639657
- Journal Information:
- J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 29:2; ISSN JMAPA
- Country of Publication:
- United States
- Language:
- English
Similar Records
Gravitational-inertial waves in the general theory of relativity
Tensor analysis and curvature in quantum space-time
Curvature of generic space-times in general relativity
Journal Article
·
Thu Dec 31 23:00:00 EST 1970
· Gravitatsiya Teor. Otnositel'nosti, no. 8, pp. 46-57
·
OSTI ID:4420469
Tensor analysis and curvature in quantum space-time
Journal Article
·
Sat Feb 28 23:00:00 EST 1987
· Int. J. Theor. Phys.; (United States)
·
OSTI ID:6169906
Curvature of generic space-times in general relativity
Journal Article
·
Fri Jul 01 00:00:00 EDT 1988
· J. Math. Phys. (N.Y.); (United States)
·
OSTI ID:5154477