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Chapter 5 Cosmology(第2页)

Theexpansionhistory

&heUniversebecameoughth,thereeriodthatastrooasthedarkages。Thiseriodaftertheinitialfireball,butbeforethefirststarsandgalaxiesformed。ThereisverylittleforastroolthispartoftheUory,asmostofthematterwasincloudsofgas。Afteraboutafewhundredmillionyears,however,thefirststarsandgalaxieshadbeguntoform。Siureshavegrownuously,anderscales,astheUniversehasevolved。ravitythathascausedthistohappen,andmuatioaigravitybylookironomicalstructuresaroundus。Forthemomentthough,let’sthinkabouthohysicalbodiesbeusedtoprobetheexpansionhistoryoftheUniverse。

Hubblestartedthisfield,withhisfamouspaperin1929。Aswithmostgreatstificresults,hisworkwasbuiltupohegehatfollowed。Theaimofallthisworkhasbeeermiadistaismovingawayfromus,aswellasexactlyhowfarawayfromusthatobjectis。ThisinformationbeusedtodetermitheUniverseisexpanding。Theformerofthesetwoproblemsisactuallyrelativelystraightfhtfromstars,andmostotherbodies,isemittedinspecificiesthatdtothechemitsthatit’smadefrom。Now,whenabodyisinmotion,asmostastrophysicalobjedtobe,thenthefrequehatreachesusisshiftedbytheDopplerEfect。Thisphehesameastheshiftinfrequencyyouhearwhenanambulayou;thesousseemshigherpitit’stravellingtowardsyoutha’smovingaway。Inbothcases,thefrequeforwardlyrelatedtothevelocityofthebodyinmotioifweknowthechemitsinanastrophysicalbody(whichweofte’srelativelyeasytoworkouthowfastthatbodyismovingawayfromus。

Accuratelydetermiarophysicalbodiesis,however,amoregtask。Thegehodologythat’susedforthisjobistolookatobjectsthatarereasonablynearby。Ifwedetermiahesenearbyobjects,whichisusuallyabiteasier,thenweusethemtocalibratethedistaosimilarobjectsthatarefurtheraleofthismethod,let’ssidertheCepheidsthatHubbleusedinhisfamouspaper。ACepheidisastarwhhtnessvariesinaperiodicway。Itwasalreadyknownthatthereisarelatioheperiodofaditsluminosity(itsactualbrightness,asopposedtoitsapparentbrightness,whidsondistanus)。Thiswasdeterminedfromarswhosedistanceswereknowhisinformationtoworkoutthedistaofaraheids。Thelogicisquitestraightforward:youlookatthedmeasureitsperiod;youusethisinformationtoworkouthowmuchlightit’semitting;andyouparethisthttheobjectappearsraphicplate。There’sasimplelawthattellsyhtaadistanceshouldbewheiainamountoflight,soyouhavealltheinformatioermiance。

Uhereareahingsthatgwiththismethod。Therulesusedtodetermiaoa(suchastherelatioweenperihtnessinCepheids)mightonlybeapproximatelytrue。Youalsohavetoassumethatthedistasobservedarethesameasthenearbyobjectsthatwereusedtodetermihisisn’talwaystrue,asitbehardtoideswhentheyareverydistamightbethatsomerulese(recallthatwhenyoulookfaraway,yatobjectsastheywerelongago)。Theseproblems,aobecarefullysidered,astheyesleadtoiinferenhis1929paper,forexample,HubbleinferredanexpaheU’sapproximatelytentimeslargerthanallmoderhiserrorwasduetoilyihedistaogalaxiesusingtheCepheids。

&stateoftheartinthisfieldisachievedusiionsofsupernovae(explodingstars),buttheunderlyihodologyisstillquitesimilartotheoneusedbyHubble。Anindividualsupernovabeasbrightasairegalaxy,sotheyarereasoospot,ifyouknowwhattolookfor。Theyalsobeseenfromveryfaraway。Now,therearediferenternova,and,ofcourse,astrivehemall。ThetypeofsuperaremostusefulftheexpansionoftheUniverseareknoeIa。Theseexplosionsarecausedbytheaatterontoawhitedwarffromaar。Wheterhasaccumulated,thewhitedwarfgerholditselfupagainstthepressureofgravity,anditcollapsesahegoodthingaboutTypeIasupertheytendtohappeninaverysimilarway,whereverorwheheyoccur。Thismeansthat,iftheybeproperlyideheirbrightnessbeusedtogetquiteagoodestimateoftheirdistance。

Itwasn’tue1990sthatthefirstresultsontheexpansionhistoryoftheUypeIasupere。BoththeSupernovaologyProjedtheHigh-ZSupereamwerewoheypublishedtheirfirstresultsatarouime。Usiiohatwereatvastdistandhehadexplodedseveralbillionso,theyfouhingverysurprisiermiheexpansionoftheUslowingdown,asoforobjectsthatfallawayfromeachotheruualgravitationalattra,buteedingup。Thiswasentirelyushockedthephysiunity。Intermsofofgravity,however,it’sespeciallyfasg。We’llgointoitscesfurtheriforurnte-scalestructureoftheUniverse。

&euniverse

Justasstarsgrouptogethertalaxies,galaxiesgrouptogetherintostructurescalledclustersaers。Thesearewhatologistsarereferrialkabe-scalestructure。Thestudye-scalestructureoftheUniverse,on,wasstartedbyHubble。ItwasHubblewhorealizedthatthespiral-shapedobjectsthatastronomersobservedthroughtheirtelescopeswere,infatgalaxies。UpuntilthispointithadbeeionastowhetheralaxywastheoexistedintheUniverse,likeanislaeos。Usihatwediscussedearlier,Hubbleshoiralsweremuchmoredistantthaarsweseearoundus。Theoionwasthattheywerelargerbodies,themselvesmadeupfromverymanystars。Thisstartedthequesttomapthestructuresthatexistaroundus。

Aswithmostbranchesofobservationalressinthisnewfieldwasinitiallyratherslow,aopickuppacetowardstheehtury。OhelandmarkmissionsiheHarvard-SmithsonianCfAsurvey,whiin1977andranuntil1995。TheCfAsurveymeasuredtherealveloost20,000galaxies,ahepositiohemonthesky。UsiheythehesevelotodistaartedtomapoutthestructurethatexistedintheUniverseescales。TheydiscalaxiesclumptogethertoformstructuresthatspanenormousdistanceseofthemostimpressiveoftheseiswhatisknownastheCfA2GreatWall。Thisstructureisahugetrationofgalaxies,whichisseitwouldtakelightmorethanhalfabillietfromoheother。

&galaxysurveyshavediscoveredevenlargernumbersofgalaxies。The2dFsurvey,whichusedtheAnglo-AustraliaTelesewSouthWales,ranfrom1997to2002,ahan200,000galaxies。TheSloaalSkySurvey(SDSS),whichstartedintheyear2000andisplaiil2020,hassofarmeasuredmillions。Infact,therearenowsomanyimagesofgalaxies(arophysicalbodies)thatitisimpossibleforastrhallofthemindividually。puterprogramsbeusedforthis,buttheyteregimportahehumaneye(andbrain)。Acleverwayaroundthisproblemwasthereforetoputtheimagesothepublictakepartiifyingthem’aprojeas’GalaxyZoo’。

Maureswerefoundby2dFandSDSS,andonevenlargerstheCfAsurvey。ThebiggestofthesewastheSloaWall,whichisaroundtwiceasbigastheCfA2GreatWall。Infact,theSloaWallissobigthatifyoutooksimilarsizedstrudputthemendtoend,youlyfitafewdozeireobservableUrulyenormous,butoneshouldbearinmindthatthisisstillonlyafraofthedistanceprobedbysuperheCMB。Therearemanymalaxiestobediscovered,aobeseenifthereareanystructuresthatareeveheexpeisthatthereareioalwaysrealized)。

Thisisallveryimpressive,butlet’sreturntowhatitmeaudyofgravity。Thestructuresthatareobservedinthesesurveysaretheresultofgravitationalattra。AtveryearlytimestheUniverselookedsmooth,asverifiedbyobservationsoftheetfromthatstatetothepresentdaysituatiohereexistsvastworksofstructure,thematterintheUhaveclumpedtogether。Thewayinwhichthisshouldhappenisthoughttobewelluescales,butstartstogetabitmorepliallscales。Bothimesawealthofinformationforthosewhoareiedingravity,solet’ssiderthemseparately。

escalesthegrowthofstructurehappensiableway。Thisisessehelarge-scalebulkmotioerintheUniverseissmallonthesesparedtotheologisiohofstrulargescalesis,however,verysehepreciserateofologision。Iftheexpansionisdominatedbynormalmatter,thenstructuresgroensonsmallerscalesfirst,anderscaleslateron。Now,becausehattheseedsofstructurelooklike,fromtheCMB,wecalculateectthestrulargescalestolooklike,andarethistowhatastrouallysee。Theresultsareveryiing。

First,theresultsstrulargesdicatesquitestronglythatthereismatterintheUdoeshlight。Thereasohisisbecausethereismorestruleherewouldbeifthiswereis,ifallmatterihlight,thenthehighlevelsofradiationintheearlyUniverseshouldhavesuppressedtheseedsofstruapredictableesee,however,isthelevelofstructurethatoneshouldexpectifradiationhadhelogiisthatthereexistsmatterintheUdoeshradiation,andthatitwasthegravitatiohismatterthatservedastheseedsofthestructuresthatweseearoundustoday。Whatismore,bylookingathowmuchstructureexiststhscales,wevaluableinformationabouthowgravityworksedistances。

&helarge-scalestrutheUniversebeusedasakiomeasurethesizeoftheUniverseandhowmuchithasexpahisisbecausetheinitialrippleshaveacharacteristigth。Byparingthescaleoftheseripplesinthebadradiatiohatothelarge-scalestructurearouhereforeseeiwayhowmuiversehasexpaheformeristhesourceofthelatter)。Thisleadstoyetanresult。TheUohaveexpashouldhavedosexpaedbythegravitatiohematterwithinit。Inotherwords,therulersieUobetoobig。

&’snowsiderensoancescales,muchsmallerthawallsdiscussedearlier。Ohevelocitiesofastrophysicalbodies,likestarsandgalaxies,arenotnecessarilysmallparedtotheologision。Theanalysisisthereforemuplicated,asthebodiesmoveainmuplicatedways。Thetbestmeththissituationisteputersimulationsofverymahespacethatthebodiesexistwithinisexpandieishould,butthegravitatiohebodieswithinthespaceareusuallytreatedihisisavastextrapolatiooitiswidelythoughtthatit’savalidroceed。Let’snowsiderhowgravitybeexploredinthisregime。

&andmostobviousthingtodohereistotrackthemotionofthegalaxies,andtheformerstructuresthattheycreate。Thisisverytricky,asit’sdiiculttotakeintoatalltheplicatedefectsthatthemanyastrophysicalprocessesthattakeplatheUniverse。Asupernova,forexample,crowthofstructure,orcloudsofgashaheless,orytomodelallsuena’andtherehasbeenalressindoingthissiurury。Whatseemsclear,asbefore,isthatthereappearsteamountofmatterthatwe’tseedirectly,butwhosegravitationalfieldisrequiredtomakegalaxiesmoveahewaytheydo。

Asedapproachistolookathowgalaxies,andclustersofgalaxies,behoflight。YouwillrecallthattheSuhepathhtthatpassesclosebyit,andthatthiswashowEddingtoheworldthatEiheorywascorrect。Thesameewithgalaxies。Welookathoesofdistantgalaxiesaredistortedbythegravitatiohosethataremuchclosertous’inaproasgravitatiohisefectisoftenverysmall,andit’susuallyanenormousgetoseeitatall。Ifwelookattherightgalaxies,oroughdata,however,thenweuseittodetermiioexistinspaore,wefindthatthereismravitythaheretobe,fromtheastrophysicalbodiesthatweseedirectly。Thereappearstobealotofmass,whidslightviaitsgravitatiohatdoeshthelightiheexatofbendingthatoccursalsopotentiallyeofinformationaboutthewaythatgravitybehavesonthescalesofgalaxies,andclustersofgalaxies。

Movingtoevensmallerscales,welookathowindividualgalaxiesbehave。Ithasbeenkhe1970sthattherateatwhichgalaxiesrotateistoohigh。WhatImeanisthatiftheravityinagalaxywasthevisiblematterwithinit(mas),thenanygalaxythatrotatedasfastasthoseweseearounduswouldtearitselfapart。Itwouldbeliketakingaheadofdandelionseedsandrotatingitsstemquicklybetweenyourhands。Ifyourotateitfastenoughthenyouwouldexpecttheseedstoflyof,asthebondsthatholdthemtogetherarenhtoresisttheforcesthatresultfromtherotation。Thesameistruewiththestarsiheydonot’yapart,despitetheirrapidrotatigeststhatthegravitatiohihaiallysuspected。Again,thelogiisthatthereappearstobematteriweotseebutwhitributestothegravitationalfield。

Theodel

MaphysicalprocessesthatotheUhesamesurprising:thegravitationalfieldsweinfer,bylookingattheUniversearouheretobemorematterthanweseewithourtelescopes。Beyondthis,ihelargeststrutheUohaveevolvedintotheirtstate,aheseedsofthesestructurestolookthewaytheydoihisbeallowedtoihlightatall(or,atmost,ionlyveryweakly)。Thismeansthatnotoseethismatter,butthatitotbeseenatallusinglight,becauselightisrequiredthtthroughit。

Thisisobviouslyaverystraeofafairs。Thesubstagravitatesinthiswaybutotbeseeoasdarkmatter。Theamountofdarkmatterrequiredtoexplaiionsisnotsmall。Thereobeapproximatelyfivetimesasmuchdarkmatterasthereisordipeople,whehearthishihingmusthavegoerriblywrong。Thatbethisstraheevideheexistenatterasourcesthatitishardtuewithit。Iftheevidenefromoneplace,youcouldtryahatwhoevercollectedthedata,ormadetheobservations,mighthavemadeamistake。It’sverydiiakethisargumentforallofthediferenttypesofobservatioomakesomanymistakes,andforallthosemistakestestthesameresult,seemshighlyunlikely。SoweareledtotheostofthematterintheUofthetypeearemostfamiliar,butisinsteadsomeerthatreviouslyunknown。

Butthisishesurprises。Notonlydowerequireextramattertogiveextragravitationalfieldsiomakestruandlightbeit’sobservedtodo,butlainwhytheUniverseisexpandihaitshould。RecallthatwekoftheexpansionoftheUniverseasobjeatter(suchasgalaxies)’yingawayfromeachotheruualgravitatioion。Ifthisistrue,andifgravityisalwaysattractive,thenweshouldexpectthelarge-ssionoftheUobealwaysdeg。Thatis,theexpansionshouldbegettiime。Theresultsofthevariousastronomicalobservationswehavediscussed,however,haveshoansionisspeedingup。Theisthattheremustbeatypeofgravitatioisrepulsive’inotherwords,thereseemstobeatypeofanti-gravityatelookathowtheUhisanti-gravityisrequiredioforcematterapart,ratherthanpullittogether,sothattheexpansionoftheUniverseaccelerate。Thisistrulyastonishing。Thesourceofthisrepulsivegravityisreferredtobystistsasdarketobefusedwithdarkmatter)。Thereobearouimesasmuergyasthereisdarkmatter,iomaketheUniverseaccelerateinitsexpansiorate。

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