The intergalactic Newtonian gravitational field and the shell theorem

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1、TheintergalacticNewtoniangravitationaleldandtheshelltheoremL.ZaninettiDipartimentodiFisica,ViaPietroGiuria110125Torino,ItalyJanuary3,2013Thereleaseofthe2MASSRedshiftSurvey(2MRS),withit's44599galaxiesallowsthedeductionofthegalaxy'smassesinnearlycompletesampl

2、e.Acubicboxwithsideof37Mpccontaining2429galaxiesisextractedandtheNewtoniangravitationaleldisevaluatedbothatthecenteroftheboxaswellin101x101x101gridpointsofthebox.Theobtainedresultsarethendiscussedatthelightoftheshelltheoremwhichstatesthatattheinternalofasph

3、erethegravitationaleldiszero.keywordsmethods:statistical;cosmology:observations;(cosmology):large-scalestruc-tureoftheUniversearXiv:1301.0010v1[astro-ph.CO]31Dec20121IntroductionThedeterminationofthegravitationaleldincosmologyoscillatesbetweentheNewtonlawa

4、ndvarioustypeofmodicationstothislaw.ThereferenceformulaistheNewtonianforcemMF=G;(1)r21whereGisthegravitationalconstant,Mtherstmass,mthesecondmassandrthedistancebetweenthetwomasses.Theenormousprogressesintheobservationsofthespatialdistributionofgalaxiespoi

5、nttowardacellularstructure,i.e.thegalaxiesaresituatedonthesurfacesofbubbles,ratherthantobeaggregatedinarandomstructures,seeCoil(2012).Inthelimitingcaseinwhichallthegalaxiesweresituatedonthesurfacesofspheresthegravitationalforcesshouldbezeroduetotheshelltheor

6、emornearlyzeroduetothefactthatthegalaxiesaredistributedinadiscretewayratherthaninacontinuousway.ThispaperdescribesinSection2twoastronomicalcatalogswhichallowtocalibratethesizeofthecosmicvoids.Section3isdevotedtothestudyofthephotometricpropertiesofofanearlysp

7、hericaldistributionofgalaxiesandtoacarefulanalysisofcompletenessconnectedwiththeselectedastronomicalcatalog.Section4containstheevaluationoftheNewtoniangravitationaleldinaboxof37Mpcinwhichtheboundaryconditionsareproperlyevaluated.Section5reportsacomparisonbe

8、tweenthreeidealstructuresandarealvoidasextractedfromaslicesorientedcatalog.2ObservationsThissectionprocessestheSloanDigitalSkySurveyDataRelease7(SDSSDR7),seeAbazajianetal.(2009),andthe2MASSRedsh