Maxwell-Einstein theory in 13 dimensions with compactified timelike dimensions

Details Maxwell-Einstein theory in 13 dimensions with compactified timelike dimensions Maxwell-Einstein theory in 13 dimensions with compactified timelike dimensions

Apr 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988cajph..66..292w&link_type=abstract

Canadian Journal of Physics (ISSN 0008-4204), vol. 66, April 1988, p. 292-294.

Physics

Cosmology, Einstein Equations, Function Space, Gravitation Theory, Maxwell Equation, Compacting, Constants, Differential Equations

Scientific paper

The use of compactified timelike dimensions in constructing higher-dimensional cosmological models is investigated analytically. Following a suggestion by Sakharov (1984), it is shown that extra timelike compactified dimensions, at least for power-law solutions of R sub 3, can lead to nontrivial field configurations with a zero four-dimensional effective cosmological constant and a zero 13-dimensional cosmological constant. It is pointed out that such a universe might contain regions in which the signature is different and spacelike regions could be transformed into timelike regions by quantum fluctuations of the metric or gravitational collapse.

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