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MGAT6 - Higher Derivative Theories

Speaker

Faraoni, Valerio

Talk Title

Is f(R) gravity viable? The Cauchy problem for metric and Palatini f(R) theories

Abstract

General criteria for the viability of metric and Palatini f(R) gravity will be reviewed. In particular, the Cauchy problem for these theories will be discussed. For metric f(R) gravity the latter is well-posed in vacuo and well-formulated in the presence of ``reasonable'' forms of matter. For Palatini f(R) gravity the initial value problem is well-posed in vacuo and in the presence of matter with constant trace of the energy-momentum tensor (including conformal matter), and most likely ill-formulated otherwise.

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