A note on a paper by Massa and Pagani.

Details A note on a paper by Massa and Pagani. A note on a paper by Massa and Pagani.

Nov 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987gregr..19.1149e&link_type=abstract

General Relativity and Gravitation, Volume 19, Issue 11, pp.1149-1150

Physics

2

General Relativity

Scientific paper

Massa and Pagani [1] have given a neat refutal to the conjecture [2] that the Riemann tensor is derivable from a tensor potential. Their method consists of assuming such a relationship does exist and examining the resulting integrability conditions; they show that the existence of such a potential will impose nontrivial restrictions on the Riemann tensor and so conclude that, in general, such a potential cannot exist. Although Massa and Pagani posed the problem and interpreted the conclusion in ordinary tensor notation the actual derivation of the crucial constraint equation was carried out in the language of tensor-valued differential forms, and is quite involved. In this note it is shown that the crucial equation can be obtained quite naturally and easily in ordinary tensor notation.

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