Metric gravity theories and cosmology:II. Stability of a ground state in f(R) theories

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dc.creatorSokolowski, Leszek M.
dc.date2007-07-06
dc.date.accessioned2026-07-07T11:17:36Z
dc.date.available2026-07-07T11:17:36Z
dc.descriptionA fundamental criterion of viability of any gravity theory is existence of a stable ground-state solution being either Minkowski, dS or AdS space. Stability of the ground state is independent of which frame is physical. In general, a given theory has multiple ground states and splits into independent physical sectors. All metric gravity theories with the Lagrangian being a function of Ricci tensor are dynamically equivalent to Einstein gravity with a source and this allows us to study the stability problem using methods developed in GR. We apply these methods to f(R) theories. As is shown in 13 cases of Lagrangians the stability criterion works simply and effectively whenever the curvature of the ground state is determined. An infinite number of gravity theories have a stable ground state and further viability criteria are necessary.
dc.descriptionA modified and expanded version of a second part of the paper which previously appeared as gr-qc/0702097v1. The first, modified part is now published as gr-qc/0702097v2 and as a separate paper in Class. Qu. Grav. The present paper matches the published version
dc.identifierhttps://arxiv.org/abs/0707.0942
dc.identifierhttp://arxiv.org/abs/0707.0942
dc.identifierClass.Quant.Grav.24:3713-3734,2007
dc.identifierdoi:10.1088/0264-9381/24/14/011
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/193061
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleMetric gravity theories and cosmology:II. Stability of a ground state in f(R) theories
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