The Einstein field equation in a multidimensional universe.

Details The Einstein field equation in a multidimensional universe. The Einstein field equation in a multidimensional universe.

Jul 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988gregr..20..667p&link_type=abstract

General Relativity and Gravitation, Volume 20, Issue 7, pp.667-670

Statistics

Computation

1

Cosmology:Kaluza-Klein Theory, Cosmology:Superstrings, Superstrings:Cosmology

Scientific paper

String theory [4] predicts that the universe has 10 or 26 dimensions. A salient problem is how the Einstein field equation should be written in terms of these revivified Kaluza-Klein cosmologies. The answer is by now well-known, yet nobody seems to have rewritten the seminal computation in [6] where an unnecessarily involved Euler-Lagrange variational method is employed and, curiously enough, no allusion to the Gauss-Bonnet-Chern theorem is made. We provide a more straightforward argument, which has been inspired by Hilbert's original derivation of the Einstein field equation [5].

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