On pseudosymmetric space–times
An algebraic classification of four-dimensional pseudosymmetric Einstein space–times is given and more examples of pseudosymmetric space–times are provided.
An algebraic classification of four-dimensional pseudosymmetric Einstein space–times is given and more examples of pseudosymmetric space–times are provided.
Affine collineations in general relativity and their fixed point structure
A general discussion of affine vector fields (collineations) in space–time is given following a previous article by Hall and da Costa. Some general remarks are presented on the zeros of affine v...
A general discussion of affine vector fields (collineations) in space–time is given following a previous article by Hall and da Costa. Some general remarks are presented on the zeros of affine v...
The patchwork divergence theorem
J. Math. Phys. 35, 5922 (1994); doi:10.1063/1.530719
Issue Date: November 1994
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The divergence theorem in its usual form applies only to suitably smooth vector fields. For vector fields which are merely piecewise smooth, as is natural at a boundary between regions with different physical properties, one must patch together the divergence theorem applied separately in each region. We give an elegant derivation of the resulting patchwork divergence theorem which is independent of the metric signature in either region, and which is thus valid if the signature changes.
Journal of Mathematical Physics is copyrighted by The American Institute of Physics.
| History: | Received 4 April 1994; accepted 12 May 1994 |
| Permalink: |
http://link.aip.org/link/?JMAPAQ/35/5922/1 |
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BibSonomy
KEYWORDS and PACS
GENERAL RELATIVITY THEORY,
EINSTEIN FIELD EQUATIONS,
METRICS,
VECTOR FIELDS,
SMOOTH MANIFOLDS,
DIFFERENTIAL GEOMETRY
- 04.20.Cv
General relativity and gravitation Classical general relativity Fundamental problems and general formalism - 11.30.-j
General theory of fields and particles Symmetry and conservation laws - 02.40.Hw
Mathematical methods in physics Geometry, differential geometry, and topology Classical differential geometry - YEAR: 1994
PUBLICATION DATA
0022-2488 (print)
1089-7658 (online)
AIP
REFERENCES (15)
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