Combined cosmological and solar system constraints on chameleon mechanism

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1、PHYSICALREVIEWD85,103005(2012)CombinedcosmologicalandsolarsystemconstraintsonchameleonmechanismA.Hees1,2,3,*andA.Fu¨zfa3,4,†1RoyalObservatoryofBelgium,AvenueCirculaire3,1180Bruxelles,Belgium2LNE-SYRTE,ObservatoiredeParis,France3NamurCenterforComplexSystems(naXys)

2、,UniversityofNamur,Belgium4CenterforCosmology,ParticlePhysicsandPhenomenology(CP3),UniversityofLouvain,Belgium(Received22November2011;published10May2012)Thechameleonmechanismappearinginthemassivetensor-scalartheoryofgravitycaneffectivelyreducelocallythenonminimal

3、couplingbetweenthescalarfieldandmatter.Thismechanismisinvokedtoreconcilelarge-scaledeparturesfromgeneralrelativity,supposedlyaccountingforcosmicacceleration,tosmall-scalestringentconstraintsongeneralrelativity.Inthispaper,wecarefullyinvestigatethisframe-workoncosm

4、ologicalandsolarsystemscalestoderivecombinedconstraintsonmodelparameters,notablybyperforminganonambiguousderivationofobservableslikeluminositydistanceandlocalpost-Newtonianparameters.ThelikelihoodanalysisoftypeIasupernovaedataandofanadmissibledomainfortheparametr

5、ized-post-NewtonianparametersclearlydemonstratesthatthechameleonmechanismcannotoccurinthesameregionofparameterspaceastheonenecessarytoaccountforcosmicaccelerationwiththeassumedRatra-Peeblespotentialandexponentialcouplingfunction.DOI:10.1103/PhysRevD.85.103005PACS

6、numbers:95.36.+x,04.50.Kd,04.80.CcI.INTRODUCTIONtensor-scalartheorywasintroducedbyJordan,Brans,andDicke[3,4]inordertorecovertheMachprinciple.AveryToday,gravitationisfacingamajorproblem:ononedetailedstudyoftensor-scalartheorycanbefoundinhand,generalrelativity(GR)h

7、aspassedallsolarsystemDamourandEsposito-Fare`se[5].Tensor-scalartheoriesexperiments;ontheotherhand,GRandthestandardmodelincorporateboththedirectcouplingofthescalarfieldtoofparticlesarenotsufficienttoexplaingalacticandmatter[throughthecouplingfunctionAðÞ]andascalar

8、cosmologicalobservations,forinstance,theacceleratedself-interactionterm[representedbyapotentialVðÞ].expansionoftheUniverse.SeveraloptionshavebeenMasslesstenso