Abstract

Title: "Quadratic gravitation in n dimensions"

Abstract:
A gravitational Lagrangian which is quadratic in the curvature of the spacetime metric leads to interesting alternatives of Einstein´s general relativity theory. In view of the Kaluza-Klein (KK) paradigma we study this class of purely metrical theories on n-dimensional space- times, namely Cauchy´s problem, particle content, Einsteinian strength, scalar field and/or electromagnetism coupled to gravitation according to the KK principle. The case of 4-dimensional "conformal gravity" deserves special attention.