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Values of Tvµ and the Christoffel symbols for a line element of considerable generality

Dingle, Herbert (1933) Values of Tvµ and the Christoffel symbols for a line element of considerable generality. Proceedings of the National Academy of Sciences of the United States of America, 19 (5). pp. 559-563. ISSN 0027-8424. http://resolver.caltech.edu/CaltechAUTHORS:DINpnas33

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Abstract

In the general theory of relativity the mechanical properties of any region of the universe are expressed by the energy-momentum tensor, Tvµ, which is itself calculable from the form of the line element, ds2 = gµvdxµdx4, applicable to that region. The expressions for Tvµ in the most general case, in which all the gµv are arbitrary functions of the four coordinates, x1, x2, x3, x4, are exceedingly complicated, but considerable simplification is introduced if it is assumed that gµv(µ ≠ v) = 0.


Item Type:Article
Additional Information:© 1933 by the National Academy of Sciences. Communicated March 20, 1933.
Record Number:CaltechAUTHORS:DINpnas33
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:DINpnas33
Alternative URL:http://www.pnas.org/content/vol19/issue5/
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:7438
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:14 Feb 2007
Last Modified:14 Nov 2014 19:19

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