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Mathematical problems in higher order gravity and cosmology

S. Cotsakis
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Abstract

We discuss the issue of motivating the analysis of higher order gravity theories and their cosmologies and introduce a rule which states that these theories may be considered as a vehicle for testing whether certain properties may be of relevance to quantum theory. We discuss the physicality issue arising as a consequence of the conformal transformation theorem, the question of formulating a consistent first order formalism of such theories and also the isotropization problem for a class of generalized cosmologies. We point out that this field may have an important role to play in clarifying issues arising also in general relativity.

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S. Cotsakis. 1997-12-10. Mathematical problems in higher order gravity and cosmology. https://arxiv.org/abs/gr-qc/9712046

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