General covariance is an empty requirement

Модератор: mike@in-russia

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J.F.

General covariance is an empty requirement

Номер сообщения:#1   J.F. » Чт янв 08, 2009 11:30

It is not altogether surprising that covariance may be redefined so easily for a theory with such different foundations. It has been pointed out that covariance is an
empty requirement (see [27,28]). Not only does covariance not imply local Lorentz invariance, but also any theory can be made covariant. An example of a covariant
formulation of Newtonian gravity is given in [28]. In this theory the tangent space is not a portion of Minkowski space, rather a portion of Galilean space.
[27] S.Weinberg, Gravitation and cosmology, JohnWiley and
Sons, 1972; pp 91.
[28] K. Friedrichs, Math. Ann. 98, 566 (1928).
http://arxiv.org/abs/gr-qc/0007036v1

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