Constraints on f(R) Cosmology in the Palatini Formalism

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dc.creatorLi, Baojiu
dc.creatorChan, K. C.
dc.creatorChu, M. -C.
dc.date2006-10-26
dc.date2007-06-06
dc.date.accessioned2026-07-07T11:00:01Z
dc.date.available2026-07-07T11:00:01Z
dc.descriptionIn this work we derive the covariant and gauge invariant perturbation equations in general theories of $f(R)$ gravity in the Palatini formalism to linear order and calculate the cosmic microwave background (CMB) and matter power spectra for an extensively discussed model, $f(R) = R + α(-R)^β$, which is a possible candidate for the late-time cosmic accelerating expansion found recently. These spectra are discussed and found to be sensitively dependent on the value of $β$. We are thus able to make stringent constraints on $β$ from cosmological data on CMB and matter power spectra: The three-year Wilkinson Microwave Anisotropy Probe (WMAP) data alone gives a constraint $|β| \lesssim \mathcal{O}(10^{-3})$ while the joint WMAP, Supernova Lagacy Survey (SNLS) and Sloan Digital Sky Survey (SDSS) data sets tightens this to $β\sim \mathcal{O}(10^{-6})$, about an order of magnitude more stringent than the constraint from SDSS data alone, which makes this model practically indistinguishable from the standard $Λ\mathrm{CDM}$ paradigm.
dc.description9 pages, 7 figures. Modified version to appear in Physical Review D
dc.identifierhttps://arxiv.org/abs/astro-ph/0610794
dc.identifierhttp://arxiv.org/abs/astro-ph/0610794
dc.identifierPhys.Rev.D76:024002,2007
dc.identifierdoi:10.1103/PhysRevD.76.024002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/187602
dc.subjectAstrophysics
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleConstraints on f(R) Cosmology in the Palatini Formalism
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