The global extension of local symmetries in general relativity

Details The global extension of local symmetries in general relativity The global extension of local symmetries in general relativity

Feb 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989cqgra...6..157h&link_type=abstract

Classical and Quantum Gravity (ISSN 0264-9381), vol. 6, Feb. 1, 1989, p. 157-161.

Mathematics

13

Relativity, Space-Time Functions, Symmetry, Lie Groups, Manifolds (Mathematics), Vector Spaces

Scientific paper

A theorem is given which states that, under certain conditions, local symmetries can be extended to global symmetries on spacetimes. The types of local symmetries considered are isometries, homotheties, affine coollineations, and conformal collineations. The proof given here does not depend on the dimension of the manifold in question nor on the signature of the metric it carries.

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