Static spherically symmetric perfect fluid solutions in $f(R)$ theories of gravity

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dc.creatorMultamaki, T.
dc.creatorVilja, I.
dc.date2006-12-29
dc.date.accessioned2026-07-07T11:00:35Z
dc.date.available2026-07-07T11:00:35Z
dc.descriptionStatic spherically symmetric perfect fluid solutions are studied in metric $f(R)$ theories of gravity. We show that pressure and density do not uniquely determine $f(R)$ ie. given a matter distribution and an equation state, one cannot determine the functional form of $f(R)$. However, we also show that matching the outside Schwarzschild-de Sitter-metric to the metric inside the mass distribution leads to additional constraints that severely limit the allowed fluid configurations.
dc.description5 pages
dc.identifierhttps://arxiv.org/abs/astro-ph/0612775
dc.identifierhttp://arxiv.org/abs/astro-ph/0612775
dc.identifierPhys.Rev.D76:064021,2007
dc.identifierdoi:10.1103/PhysRevD.76.064021
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/187708
dc.subjectAstrophysics
dc.titleStatic spherically symmetric perfect fluid solutions in $f(R)$ theories of gravity
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