Computer Science
Scientific paper
Jul 1990
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990gregr..22..811c&link_type=abstract
General Relativity and Gravitation, Volume 22, Issue 7, pp.811-826
Computer Science
4
Scientific paper
A study of intrinsic properties of proper Lorentz tensors (tensor fields defining proper Lorentz transformations at every point of space-time) is made, giving rise to their covariant decompositions. The exponential series for a generic 2-form is covariantly summed, and the resulting proper Lorentz tensor is expressed as a linear combination of the metric tensor, the 2-form, its dual and its energy tensor. Some covariant expressions for the 2-form corresponding to the logarithmic branches of a proper Lorentz tensor are given. Some properties of the Lorentz group are easily found, concerning the surjectivity, local injectivity and local inversibility of the exponential map.
Coll Bartolomé
San José Fernando
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