Field equations and spontaneous compactification in quasi-Riemannian theories of gravity

Details Field equations and spontaneous compactification in quasi-Riemannian theories of gravity Field equations and spontaneous compactification in quasi-Riemannian theories of gravity

Sep 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985phrvd..32.1345d&link_type=abstract

Physical Review D (Particles and Fields), Volume 32, Issue 6, 15 September 1985, pp.1345-1352

Physics

11

Gravity In More Than Four Dimensions, Kaluza-Klein Theory, Unified Field Theories, Alternative Theories Of Gravity

Scientific paper

We construct gravitational as well as fermionic action integrals for Weinberg's quasi-Riemannian theories of gravity in d dimensions. We investigate the possibilities of obtaining spontaneously compactifying solutions with GT=SO(1,D-1)×G'T where G'T⊂@BSO(d-D), 4<=D<=d. For G'T=SO(d-D) we show that they are unlikely to have G-invariant solutions of the form (Minkowski)4×G/H, while we explicitly construct this type of solution for G'T=H. We also present several fermionic Lagrangians and briefly discuss the chirality problem.

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