Variational Principles and Cosmological Models in Higher-Order Gravity

Laurent Querella (IAGL; Universite de Liege)

Variational Principles and Cosmological Models in Higher-Order Gravity

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arxiv gr-qc/9902044 v1 pith:EHJJZZ5A submitted 1999-02-14 gr-qc

Laurent Querella (IAGL , Universite de Liege) This is my paper

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This dissertation investigates three main topics, all of which dealing with alternative, higher-order gravity theories in four dimensions. Firstly, we study the variational and conformal structure of those theories. Next, we analyse their Hamiltonian formulation and in particular its relationship with the famous ADM canonical version of general relativity. Finally, we study higher-order spatially homogeneous cosmologies and exemplify how Hamiltonian methods can be utilised to simplify the analysis of the associated field equations.

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The abstract proposes a Bayesian joint quantile regression version of the multinomial probit model for choice data, estimable by Gibbs sampling, but the attached full text is a different paper on higher-derivative gravity.

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