The Existence of Einstein Static Universes and their Stability in Fourth order Theories of Gravity

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dc.creatorGoswami, Rituparno
dc.creatorGoheer, Naureen
dc.creatorDunsby, Peter K. S.
dc.date2008-04-22
dc.date2008-07-21
dc.date.accessioned2026-07-07T11:50:06Z
dc.date.available2026-07-07T11:50:06Z
dc.descriptionWe investigate whether or not an Einstein Static universe is a solution to the cosmological equations in $f(R)$ gravity. It is found that only one class of $f(R)$ theories admits an Einstein Static model, and that this class is neutrally stable with respect to vector and tensor perturbations for all equations of state on all scales. Scalar perturbations are only stable on all scales if the matter fluid equation of state satisfies $c_s^2>\frac{\sqrt{5}-1}{6}\approx 0.21$. This result is remarkably similar to the GR case, where it was found that the Einstein Static model is stable for $c_s^2>{1/5}$.
dc.descriptionMinor changes, To appear in PRD
dc.identifierhttps://arxiv.org/abs/0804.3528
dc.identifierhttp://arxiv.org/abs/0804.3528
dc.identifierPhys.Rev.D78:044011,2008
dc.identifierdoi:10.1103/PhysRevD.78.044011
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/203460
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleThe Existence of Einstein Static Universes and their Stability in Fourth order Theories of Gravity
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