Kaluza-Klein theory with the Lanczos lagrangian

Physics

Scientific paper

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Scientific paper

A gravitational lagrangian is proposed which is quadratic in the Riemann tensor and which in dimension greater than four yields second-order field equations. Applied to Kaluza-Klein theory, it contains a term which can be used to cancel the vacuum-fluctuation energy and yield a vanishing cosmological constant. The gravitational coupling constant appears naturally as the curvature of the compactified internal dimensions.
Permanent address: Physique Théorique, Institut Henri Poincaré, 11 rue P. et M. Curie, F-75231 Paris, France.

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