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Chapter 3 Extrasolar tests of gravity(第1页)

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Chapter3Extrasolartestsofgravity

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TheSolarSystemallowsustoieanumberravitatios.Manyofthembemeasuredtohighaccuracy,becausewehaveeasyaccesstothenearbyplasaheyare,however,quiteweakgravitatiohisisbecausealloftheobjetheSolarSystemare,relativelyspeaking,ratherslowmovingandnotverydehtsalittlefurtherthough,wedobjectsthataremuethananythingwehaveavailablenearby.

&bygthelifeearsarethoughttoformwhenthecloudsasthatemergedfromtheBigBangcollapseuheirowngravitationalfield,aerauallyionsstart,aressurefromthesereaesstroobalaheinwardattraofgravity.

Thisresultsinastar:ahotballofcollapsedgasundergoiions.Thisprocessofggasaionsis,ofcourse,alshdesofensinourownSun.

Butthisishestory.AstarsuchastheSunlyeverhaveafiime.Eventuallythehydrogenrequiredfornuclearfusionwillrunout,aarwillhavetothermaterials.Thismakesitswelli.Ihesealtereventuallyrunout,aionalcollapseofthestarwillresume.sthecollapseatthispoihesizeofthestar.Asmallstarwillsettledowntobeeawhitedwarf.Thisisastateinwhichthequantummeicalpropertiesoftheelepreventitfrombeingahispointit’sjustnotpossibletofitarohatthestartakesup.

Ifastarisabitbigger,theninsteadofbeiwillendupasaar.Inastarofthistype,theendofnuclearfusiooacollapseofitscore.Thestarthencollapses,whicausesacolossalexplosion,knoernthisprocessthegravitatiorooforcetheeledprotonstobiheelepressureisthehestarcollapsesuronsaresodeintothesamespadresultisastarthathasadensitythat’sparabletothenu.Ironstarbethoughtofasagiantatomiucleus(butrotonsandwithoutelesit).arsareverysmallaheyaredehananythisintheSolarSystem,aomoveatextremelyhighveloeutronstarisremeobjectthatresultfromagstarthough.Thattitlegoestoatypeofobjectcalledablackhole.Ifastarissethateventhepressurefromrons’tsupportit,thenitsetoablackhole.

Ablackholeisoremeobjectsthatexistihatisreallyleftafteracollapseofthistypeisthegravitatioself.Ablackholesistsioimeenclosedbyasurfaceeventhorizoionalfieldofablackholeissthatanythingthatfindsitswayihorizonevereslight.Hehehissewearegoingtosiderstarsystemsthateoftheobjectsjustdescribed.Astronomershavenowdiscehesesystems,aionsofthemhaveallowedustravityinwaysthataresimplyimpossibleinourownSolarSysteTheextremeheseobjectsamplifiestheefesteihat,eventhoughtheyareveryfaraway,theyoferusaingwindhwhichtoseetheefectsofgravity.

&aylorbinarypulsar

&aylorbinarypulsar,orPSRB1913+16,isastarsystemthatstwoarsinorbitarouher.Theremarkablethingaboutthissystemisthatoronstarsiswhatisknoulsar(aionof‘pulsatingstar’).Thesearestarsthatappeartularpulsesofradiation,whenviewedfromEarth.Thisradiatiosurrouarandthatcausepowerfulbeamstobeprojectedoutwardsfretherwiththerapidrotatioars,thesebeamsappearasrapid’ashesofradiationtodistantastronomers,muchlikethesignalfromalighthouseappearsas’ashesoflighttonearbysailors.

Pulsarswerediscoveredforthefirsttimein1967,byJoBellBurnellandAheseastrohecharacteristic’ashesofradiationthatarenowknowntosigenceofapulsar,butatthetimewerequiteued.Iwasinallythoughtthatthese’ashescouldbesignalsfromanothercivilizatioroasfarastocallthesourceofthesignalLGM-1(LittleGreeer,similarsignalswerediscoveredfromotherpartsofthesky,anditwasrealizedthatthepulseswerefromarapidlyrotatiar.Atpresentwekehousandsofpulsars.Iurewearelikelytofindmanymore.

ThesighediscoveryofPSRB1913+16byJosephTaylorandRussellHulsein1974wasnotthatitulsar,butthatitulsarinorbitarouronstar.Thisinformationwasobtaiigthatthearrivaltimesofthepulsesvariedslightly.Thatis,thearrivaltimesofthepulsesweresometimesthreesedsearlierahreesedslater.Theperiodoverwhichthisgehappenedwasaboutsevenhoursandforty-fivemihepulsaremittedseventeenpulsesased,itossibletomakeasmoothchartthatshoattern.Theoionulsarwasinorbitarou,andthattheradiusoftheorbitwasabhtseds(thatis,thedistaravelsihreeseds,equaltoaboutamilliores).

SotheHulse—TaylorpulsarwaskofabiwasstillnotpossibletoseetheotherobjethesysteThismeantit’tbearegularstar,butithadtobesomethingwithasimilarmasstoastar.Itwasdecidedthatthemostplausibleexplanationulsarartofabiheotherbodyiembeiarthatulsating(or,atleast,wasn’tsendinganypulsesofradiationiion).Suchasystemisofpartiterestforthestudyofgravitybecausetheobjevolvedaresodenseaiheratsuchextremelyhighvelocities.ThismakesthesmallefectsthatareprediEiheorymuihatoronstarswasemittingasignalthatwasasaccurateasanatomicclockwastheitheatioedfromthissignalaboutthedetailsofthegravitatioion.

DatahasbeeheHulse—Taylorbinarypulsarsisdis1974.ThishasbeendoneprimarilywiththeArecibotelesPuertoRico,whietre-wideradioantenna(andwhichwillbefamiliartoanyonewhohasseenthefilmGoldeisthislargeofdatathatmakesthispartiarypulsarsystemspecial.Later,IwilldiseotherbinarypulsarsystemsthatarenowkhesehavebeenobservedfastheHulse—Taylorpulsar.Thelargedatabasethathasbeenstructedforthissystemallowsforsomeveryprecisetestsofgravitytobeperformed.

&’snowsiderthespecifiationaboutgravityisehepulsar’ssigthishappensisthroughtimedelaysaefectsthatthesignalexperietravelsthroughthegravitatiohepaar.YouwillrecallthatbothoftheseefectshavebeeheSolarSysteNowtheybemeasuredintwodistaars,whichorbiteachotheratadistaissimilartotheradiusofourownSuhatwillbefamiliar,andthatisvisibleiaylorbihepreoftheorbit.JustastheorbitofMercuryprecessesarouoothearsiaylorbinarysystempredeachother.ToparewithsimilarefeourSolarSystem,theorbitoftheHulse—TaylorpulsarprecessesasmuadayasMercurydoesiury.

Afiwhichitispossibletomeasurewiththebinarypulsar,andwhichisimpossibletomeasureintheSolarSystem,istheperiodofanorbitduetotheemissionofgravitatioheexistenceofgravitatioyetbeeisadefiioeihereshouldexistripplesihatergyoutofasysteThisisaphehasiheory,andisthereforeofpartiterestfEinstein’sgravity.IwillexplaingravitationalwavesiailinChapter4,ingattemptstomeasurethemdirectly.Fornow,IjustwantyoutokeepinmindthattheywerepredictedbyEihattheyshouldayfromthebinarypulsarsystem,astheyareemittedfrbodies.

SotherearethreerelativisticefectsthatbemeasuredinthearrivaltimesofthepulsesfromtheHulse—TaylorsysteThesearethetimedelayefethegravitatiohepaar;thepreoftheorbitofeachstar;andthedeorbitalperiodduetothelosshgravitatiowoofthesepieatiooihemassesofthetwoars,whitilthispoibeenmeasuredinanyway.ThethirdpieceofdatabeusedtoseeifEiheoryiscorrect.

Usihemassesofthetwoarsiaylorbinarysystemeachbedetermi1.4timesthatoftheSun.Thisisihesizeofthetimedelayefect,whibemeasuredtoabout0.02pertacdtheamountofpreoftheorbit,whibemeasuredtoanaccuracyofabout0.0001perassesofthetwostars,wecalculatewhatEiheoryprediouthroughgravitationalwaves,andwhatthismeaalperiod.ItturnsoutthatEiheorypredictstheorbitsshoulddecreasebyabout3.5metresperyear.Thisisexactlywhatismeasured,uptotheaccuracyoftheobservations,whichistlyarouhisisaaatioein’stheravity,andoneforwhichHulseandTaylorwereawardedtheNobelPrizeinPhysi1993.

&efectthatisexpectedtootheHulse—Tayleodeticpre(thedireoftheaxisofaspinningtop).Thisefectwillbeeheshapeofthesignalsthatarrivefromthebinarypulsar,becausethepulsaritselfactsasaspinningtopinitsorbitarounditspanion.AlthoughithasprobablybeeheiionofthisdataistlyogiveaestofEiheory.Thisismaiheuailsiohepulsesofradiationonthesurfaceofthear.

&aylorbinarypulsaroferssomeexttestsofgravity,butwhileitisuorically,itisnowheonlybinarypulsarthatweknowabout.LetusnowewlydiscoveredsystemsthatinsomealreadyrivalthetestsofgravityerformwiththeHulse—Taylorsystem,andwhiisetooutstripitiure.

Otherbinarypulsarsystems

&shistheHulse—Taylorbinarypulsarhastheprivilegeofbeieritsdiscoverers,aswellashaviifiame(PSRB1913+16).Otherbinarypulsarsystemsareusuallyjustreferredtobytheirstifiames.Thethat’sbeehisistocallthesystemPSR,for’PulsatingSourceofRadiation’,aeitspositioermshtasdde(theseareatesthatiioheletter‘B’or‘J’isalsousedtodehepulsarwasdiscoveredbeforeorafter1993(theonesdiscoveredafterthisdateusuallyhavetheirpositioohigheraccuracy).

Upuntil2006,weoheexisteherbinarypulsarsystemsthathadorbitalperiodsoflessthanaday.Someofthesesystemshavespecialpropertiesthatmakethempartiterestingfgravity,andalthoughtheyhaven’tbeenobservedfastheHulse—Taylorpulsar,theystillofersintohowgravityworks.Ihisse,Iwillgiveaverybriefsummaryofsomeofthemofthesesystems,beforefinishingofwithalookforwardatwhatthefutureholdsforextrasolartestsofgravity.

&withPSRB1534+12.Asthehisbinarypulsarsystemwasdiscoveredbefore1993.Theremarkablethingaboutthissystemisthatweseeitalmostexactlyedgeon.Thatis,ourlitothesystemliesalmostexatheorbitalplaronstars.Thisamplifiesthetimedelaynals,asatsomepoiheradiowavesfromthepulsarhavetopassveryclosebytoitspaheymaketheirwaytoEarthtobeobservedbyourastrohepulsaralsohasparticularlystrongandnarroulses,whichmakesitaverygoodfortuahissystemisnotknownwithmuchaccuracy,whichlimitstheprewithwhibeusedasatest-bedfravity.Todate,thissystemhasthereforenotprovidedasmuationaboutgravityastheHulse—Taylorpulsar.

AnotherbinarypulsarsystemofspeterestisPSRJ1738+0333.Thissystemisthoughttoapulsarinorbitarouhebiggerbrotherofthear,describedearlierihespegaboutthissystemisthatthetwoobjevolvedareverydifereher.Thisallowsforaofgravity.Itjustsohappensthatiheorytheemissionofgravitationalwavesfromabiparticularlyseherorwoobjectsaresimilarordiferent.MostofthepossiblealteroEiheorydo,however,predisitivitytothistypeofdiference.BylookingathowmuergyislosttogravitationalwavesinasystemsuchasPSRJ1738+0333,itisthereforepossibletoprovideanadditioofEiheory.IfEinsteihenweshouldexpectPSRJ1738+0333tolyatananomalouslyhighrate.Sofar,nosualyhasbeeed,whichprovidesstillfurtherverifiofEiheory.

However,probablythemostexgsystemthatwasknownaboutbefore2006isPSRJ0737-3039AB.Thissystemwasdis2003,andhasanumberofalmostunbelievableproperties.gsttheseisthefactthatboththearsiemwereobservedtobeemittingpulsesofradiatiooitbeihedoublepulsar.thecasethatthesedobjethesystemlyapassivepanionlyagravitatiohroughwhichtheradiosignalsofthepulsartravelled.Inthissystembothobjectswereemittingpulsesofradiation,whichallowedbothoftheirorbitstobetrawaysthatwerenotpreviouslypossible.Asifthisamazienough,however,italsoturhatthetwopulsarsweremoviremelyhighvelocities(eveandardsofbiars),andthatthesystemwasalmostexactlyedge-on.Thisbinatioiesgreatlyeheefectsofrelativisticgravityiem,tosuextentthatby2008ohepulsarshadprecessedsofarthatitsradiopulsesweofview.

Nolooobserveformaoseethesubtleefestein’sgravity;withthedoublepulsarsystemwecouldseetheminjustafewshortyears.ItishatPSRJ0737-3039ABprovideseveerevideheexistenceofgravitatiohaaylorpulsar.Whilebothpulsarswerevisible,thissystemprovidedsixwaystravitatiohearsparedwiththethreethatareavailablefortheHulse—TaylorsysteAfterdetermiwounkhears,thisleavesfourisofgravityieYetagaiheorypassedthesetestswith’yingcolours.

&ure

&onishingdiscoverieshavealreadybeenmadebyravitatiosideoftheSolarSystem,itishighlylikelythatwehaveeveolookforwardtoiure.ThereasonforthisoptimismispartlyduetothestruofaiohelargestofwhiownastheSKA(SquareKilometreArray).TheSKAedesigoreceiveradiowavesfromdistawillbebuiltonaseverbeforeseeh.

TheSKAwillsistofthousandsofradioantennasanddishes,spreadoverdistahousaresinSouthAfridAustraliaaswellasseveralothersub-Saharanstates.

&algareaofthetelescope(thesumofalldishesandantennasbined)willbeonemilliores.Itwillbefiftytimesmoresehaelescopeeverbuilt,andwillrequireaputerhacapacitylargerthanallterraibiedcostoftheSKA,atthetime,isaround€2billion,whigsuppliedbyaionalcollaboratioralia,NewZealand,ada,dia,SouthAfrica,Italy,Swedeherlands,theUK,andGermany.Byanystandard,theSKAisamoaluaking.

AprojectthesizeoftheSKAtakesalooplanandbuild,butwhenitstartstakingdatain2020iterimentstobeperformedthatwereneverpreviouslypossible.Forthepurposesofstudyinggravity,oimportantofthesewillbethemeasurementenumbersofpulsars.Firstofall,theSKAisverylikelytenumberofneulsarsystems,eachofwhibeusedtostudygravityidescribed.Sedperhapseveing,theSKAwilllikelydetedredsofrapidlyrotatingmidpulsars(i.e.pulsarsthatrotatemillionsoftimesased).Theideaisthatbycarefullymeasuringthearrivaltimesofthesignalsfromeachofthesepulsars,theSKAwillbeabletodirectlymeasuretheefegwavelengthgravitatioheypassthroughourpartoftheUhisway,theSKApromisestobeagiantgravitywavedeteethingIwillexplaiailinChapter4).

ItisexpectedthattheobservationsofgravitationalphenomeheSKAwillbeaboutahuimesmoreaccuratethanthosemadebybodieswithintheSolarSysteThiswillbeahugeleapforresent,binarypulsarobservatioartiakeobservatioheSolarSystemasthebesttestinggrravity.TheSKAwilldosiderablybetter.Beyohough,theSKAofersafewmoretantalizingpossibilitiesfgravity.OheseiheSKAtotesthowgravityworksedistaheUniverse.Iwillreturntothisiheristhepossibilityofdisgapulsariaroundablackhole.AblackholeisexperavitatioexistsaheUheresultestargisucharatethatnothingstopit.Theexistenarysystemsprisedofapulsarandablackholeareexpectedtoberare,butiftheydoexist,thenthere’sagoodcetheSKAwillfindtheSuchasystemwouldprovidetheopportuyiremeofalleisaveryexgprospect.

Another,moreimmediate,reashopefulaboutthefutureravitationalphysicsistheretdiscoveryofaypeofpulsarsysteIn2014,ateamofastronomersaheyhaddiscoveredapulsarinorbitwitharfs.TheyriplesystemPSRJ0337+1715.Theorbitsthatarepossibleiarsystemaremuchmorevariedthanthepossibilitiesinabilooksasthoughthesystemisstruahierarchicalway,suchthatthepulsarisiwithoedwarfs,whilethesedwhitedwarforbitsthembothatalargerdistaerearstobeagtheorbitsoftheinnerpair,providiypeoflaboratorywithinwhiggravitationalphysibestudied.

It’sexpectedthatelescopessuchastheSKAwillaidthestudyofbothdoubleandtriplepulsarsystems.Itmayevehatitallowsastrooobservetheframe-draggi(desChapter2),inwhichspaceitselfisdraggedaroundwiththerotatingstars.Suchameasurementwouldnotoerestforthestudyofgravitationalphysics,butalsoforastrophysicistswhowanttoknowhowmatteriarsbehaves.Ifsuchobservationsade,theywouldallowustostudyamaterialwithadensityofaroundatrillionkilogramspertimetre.

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