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Kaluza-Klein Higher Derivative Induced Gravity

W. F. Kao
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Abstract

The existence and stability analysis of an inflationary solution in a $D+4$-dimensional anisotropic induced gravity is presented in this paper. Nontrivial conditions in the field equations are shown to be compatible with a cosmological model in which the 4-dimension external space evolves inflationary, while, the D-dimension internal one is static. In particular, only two additional constraints on the coupling constants are derived from the abundant field equations and perturbation equations. In addition, a compact formula for the non-redundant 4+D dimensional Friedmann equation is also derived for convenience. Possible implications are also discussed in this paper.

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W. F. Kao. 2007-08-10. Kaluza-Klein Higher Derivative Induced Gravity. https://doi.org/10.1088/0264-9381%2F24%2F17%2F003

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