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Novel aspects of C-theories in Cosmology

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arxiv 1305.4754 v1 pith:BF7KTUG4 submitted 2013-05-21 astro-ph.CO gr-qchep-th

Novel aspects of C-theories in Cosmology

classification astro-ph.CO gr-qchep-th
keywords mathcalricciscalarbackgroundc-theoriestheoriesaroundaspects
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The field equations in FRW background for the so called C-theories are presented and investigated. In these theories the usual Ricci scalar is substituted with $f(\mathcal{R})$ where $\mathcal{R}$ is a Ricci scalar related to a conformally scaled metric $\hat{g}_{\mu\nu} = \mathcal{C}(\mathcal{R})g_{\mu\nu}$, where the conformal factor itself depends on $\mathcal{R}$. It is shown that homogeneous perturbations of this Ricci scalar around general relativity FRW background of a large class of these theories are either inconsistent or unstable.

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