Einsteinian Strengths and Dynamical Degrees of Freedom for Alternative Gravity Theories
Abstract
In this paper we present the results of our calculations of the Einsteinian strengths SE(d) and numbers dynamical degrees of freedom NDF(d) for alternative gravity theories in d >= 4 dimensions. In the first part we consider the numbers SE(d) and NDF(d) for metric-compatible and quadratic in curvature (or quadratic in curvature and in torsion) gravity. We show that in the entire set of the metric-compatible quadratic gravity in d >= 4 dimensions the 2-nd order Einstein-Gauss-Bonnet theory has the smallest numbers SE(d) and NDF(d), i.e., this quadratic theory of gravity has the strongest field equations. From the physical point of view this theory is the best one quadratic and metric-compatible theory of gravity in d >= 4 dimensions.
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