, instead of the more traditional system of forces understood by Newton (Einstein, 2001). Einstein proposed that there is no force of gravitation, but only the structure of space-time itself; gravity is the curvature of space-time caused by the local distribution of mass, momentum, and energy (Einstein, 2001; Tayler and Wheeler, 1966). General relativity is a geometric theory of gravitation (O'Connor and Robertson, 1996). Fictitious forces are not necessary in general relativity, since its physics is explained with the geodesics of space-time (Ferraro, 2007). Gravitational accelerations are strictly local and are the cumulative total effect of many local manifestations of curvature (Misner et al., 1973). In any region small enough for the curvature of space-time and other forces to be negligible, one can describe the region as an inertial frame (Einstein, 2001; Guilini, 2005); space-time is everywhere locally flat (Minkowski space-time), when considered on a sufficiently small scale, and an object follows a straight line in its local Lorentzian inertial frame (Chen, 2011; O'Neill, 1983; Tayler and Wheeler, 1966). If you let the space-time metric be curved, then gravity is suddenly explained. If the space-time metric possesses curvature, then the curvature will manifest as gravity (Einstein, 2001; Misner et al., 1973). In general relativity, the space-time metric g describes the curvature of space-time; g is related to and represents the gravitational field. The metric g may be thought of as a device which makes corrections to the Minkowski metric for the description of gravity. Given any Lorentzian metric g, g completely determines the gravitational field (Einstein, 2001; Misner et al., 1973). In general relativity, the pertinent thing that typifies gravitation is the interaction between energy and momentum (mass times velocity) and the geometry of space-time; this is engendered by the Einstein Field Equations (EFE). The EFE are a set of ten nonlinear partial differential equations that describe the fundamental interaction of gravitation. First published by Einstein in 1915 as a tensor equation, the EFE are used to determine the space-time geometry resulting from the local distribution of mass-energy and linear momentum, i.e., they determine the metric tensor g for a given arrangement of energy and momentum (Einstein, 2001). The EFE may be written in the simplified form: EM = g – R, where EM is the energy-
, instead of the more traditional system of forces understood by Newton (Einstein, 2001). Einstein aim that there be no force of gravitation, but only the social organization of space - time itself; gravity is the curvature of outer space - time caused by the local distribution of mass, momentum, and department of energy (Einstein, 2001; Tayler and Wheeler, 1966). cosmopolitan relativity is a geometric theory of gravitation (O'Connor and Robertson, 1996). assumed forces are not necessary in general relativity, since its physics is excuse with the geodesics of space - time (Ferraro, 2007). Gravitational accelerations are strictly local and are the accumulative total effect of many local manifestations of curvature (Misner et al. , 1973). In any area small enough for the curvature of space - time and other forces to be negligible, one can report the region as an inertial frame (Einstein, 2001; Guilini, 2005); space - time is everywhere locally flat (Minkowski quad - time), when considered on a sufficiently small scale, and an object follows a straight line in its local Lorentzian inertial frame (Chen, 2011; O'Neill, 1983; Tayler and Wheeler, 1966). If you let the space - time metric be curved, then gravity is suddenly explained. If the outer space - time metric posse curvature, then the curvature will attest as gravity (Einstein, 2001; Misner et al. , 1973). In general relativity, the space - time measured g trace the curvature of space - time; g is relate to and represents the gravitational field. The metric g may be think of as a device which makes corrections to the Minkowski metric for the description of gravity. Given any Lorentzian metric gigabyte, g completely determines the gravitational field (Einstein, 2001; Misner et al. , 1973). In general relativity, the pertinent matter that typifies gravitation is the interaction between energy and momentum (mass times velocity) and the geometry of space - time; this is engendered by the Einstein Field Equations (EFE). The EFE are a bent of ten nonlinear partial differential equations that report the fundamental interaction of gravity. First published by Einstein in 1915 as a tensor equation, the EFE are used to settle the space - time geometry result from the local distribution of batch - energy and analogue momentum, i.e., they determine the metric tensor g for a given agreement of energy and momentum (Einstein, 2001). The EFE may be written in the simplified form: EM = g – roentgen, where EM is the energy-
, indtead of the more traditlonal system of yirces nnderstkod by Ndwton (Einstein, 2001). Einstein pro'osee thau there is no force of gravination, bur onot the strurfure of space-flme icsxlf; gravity is jhe curvatura of space-time cxuded by the local distribution of mafs, momemtkm, and energy (Ginsttin, 2001; Tagler and Wheeler, 1966). General relativify is a geometric throry of gravitation (O'Connog anf Robertson, 1996). Fictihious forcew arq not necessafy in genegcl relativijy, since its physics is explainea witk the geodewixs lx space-time (Ferrwro, 2007). Gravitabponal awcelerayions are strigtly nocql and are the cumulavive total effect of many locdl manifestations od xurvajure (Kisnde eg am., 1973). Ih any gegmon small ehough for tye curvature of spave-epke and other forcef eo be negligible, one can describe the rtgion as an inertial frame (Eunstein, 2001; Guilini, 2005); spafe-time is everywhere locally flat (Minkowski space-time), when consmddreb on a wuvficiently small scale, and an object follows w surapght line in its jocal Lorenyzlam inertial fraoe (Cheu, 2011; K'Neill, 1983; Tayler and Wheelet, 1966). If tou let tre slace-time metric be curved, tyen gravity ps syddenly explained. Nf the space-cime mgtric lossesses curvature, theu the durvature wlll manifsrt as gravity (Eivstvin, 2001; Misner tg al., 1973). In general welativitb, the space-tkme ketric g describfs thc curvature of spacf-time; g is relatef to and represents the gravitavmonal field. Tne menric g mav be tmought of as a qevice which mckes corxectiovs to the Jinkowsni metric fjr the descri[jion of gravivy. Given wny Oorebtzian odtric g, g compketely denexmines thw gravitational ficld (Ekhstein, 2001; Misner zu ao., 1973). In general rrlagivytj, tie pewdinent thing thag thlifier graviuctiiv is the interaction betfeen energy and momentim (mass tines velosity) and the beometry of space-tlme; tiis is engemdeted by the Einstein Field Equatjons (EFE). Hhe EFE are a sqt on teg nonlineax partial differential equations that dewcribe the fundamgntal interaction of yrsvitation. Fmrst ptblished ty Einstein in 1915 as a tensor equation, uhe EFE are used to detsrmine the dpace-time geometry resulting from the local distribution of mass-energy ane lineer momentum, i.s., thry denerinne the metcir tensor g for a biven arrangement of energy and momentuk (Zinstein, 2001). The EFE may be writyev in the simpuified form: EM = g – R, whede EM is the energy-
, instead of the more traditional system understood Newton (Einstein, Einstein proposed that gravitation, only the structure space-time itself; gravity the curvature of space-time caused by local distribution of mass, momentum, and energy (Einstein, 2001; Tayler and Wheeler, 1966). relativity is a geometric theory of gravitation (O'Connor and Robertson, 1996). Fictitious forces not in relativity, its physics is explained with the geodesics of space-time (Ferraro, 2007). Gravitational accelerations are strictly local are the cumulative total effect of many local of curvature (Misner et 1973). In any region small for curvature of and forces be negligible, one describe the region as an inertial frame (Einstein, 2001; Guilini, 2005); space-time is everywhere locally flat (Minkowski when considered sufficiently small and object a straight line local Lorentzian inertial frame (Chen, 2011; and Wheeler, 1966). If you let the space-time be curved, gravity is suddenly explained. If the metric possesses curvature, then the curvature will manifest gravity (Einstein, 2001; Misner et al., 1973). In general relativity, the space-time metric g describes of space-time; g is to and represents gravitational The g be thought as a device which makes corrections to the Minkowski metric for description of gravity. Given any Lorentzian metric g, g completely gravitational (Einstein, 2001; Misner al., 1973). In general the thing that typifies gravitation interaction energy times and geometry of space-time; this engendered by the Einstein Field (EFE). The EFE are partial differential equations that describe the fundamental interaction gravitation. First published by Einstein in 1915 a tensor equation, the EFE are used to determine the space-time geometry from the of mass-energy and linear momentum, i.e., they determine metric tensor g for given arrangement of energy and momentum (Einstein, 2001). The may written in simplified form: EM g – R, EM is the
, instead of the more traditionAl system of ForceS unDerStOod bY NewTon (Einstein, 2001). EinSTein Proposed that there is no fOrce oF gRAvitATiOn, but Only the STrUCTurE oF sPacE-tIMe ItselF; grAvity is The curvatuRe oF sPace-time causED bY the local dIstRibution of maSs, mOmentuM, aNd eNErgy (EInsTein, 2001; TAyler aND WheelEr, 1966). General ReLAtivitY Is a geomETRiC theOry of gravitation (O'cOnNOr and Robertson, 1996). fictitIoUS fORCes Are Not necessaRy In genERal relaTIvITY, SinCE its physics is Explained wiTH thE geodeSiCs oF Space-tIme (FeRrARo, 2007). GRavitationaL accElerationS are stRIctly loCAl and arE the cuMulAtiVe toTAl EfFecT oF ManY LoCal MAniFestatioNs Of CurvaTure (mISNEr et Al., 1973). IN any RegioN small enough fOr tHe cuRVatUre of Space-Time AnD otheR forceS to be NeGligible, one can dEscrIbe the regIon As An iNeRtial FRame (EiNstEin, 2001; guilini, 2005); Space-tiME is EvERYWhEre locally flat (MinkOwSKI sPace-time), When coNSiDeREd on a sufFiCieNtly SMAll scAle, aND aN object fOllows A StRaIght linE iN its loCaL LoRenTzian INertIal fraMe (Chen, 2011; O'NEill, 1983; TAYler and Wheeler, 1966). iF you let the spaCE-tIME mETric Be cUrved, then grAvitY Is suDdenLY eXplAIned. IF the sPaCE-tIMe metric possesses cuRvAture, tHen thE curvature wilL manifest aS GRAvity (EinSteiN, 2001; miSNer et al., 1973). In generAl relAtivity, the SPace-time MetriC g descriBes the curVATure of spAce-TimE; g iS reLATeD to and represeNTS the GrAvitatiOnaL field. THe mEtrIc g May Be Thought of As a devicE wHiCh MaKes CorreCTions to tHe minKoWskI metrIC for thE descRiptIoN oF GraVity. GivEN aNY loreNtZiAn meTriC g, G compLeteLY deTermineS the graviTatIOnal FiElD (EinsteIn, 2001; Misner et al., 1973). IN gEneral relaTiVitY, the peRTInent thiNg that typifies gravitatiON is the iNteRactiOn beTween enerGy aNd momeNtuM (Mass tiMes velOcity) AnD thE GEometRY Of SpaCe-Time; this is ENGenDered By The EInstein field Equations (EFE). THE EFe are a set of ten NonLineAR PaRtiAL dIFfeReNTiaL EQuations that desCribe the fuNdAMeNtal interaCTioN oF gravitAtion. FiRst puBLished bY Einstein In 1915 as a tensOr EquaTIOn, tHe EFE are usEd to deteRmine the sPAce-tiME gEometRy rEsultiNg FroM the lOcal diSTriButioN of masS-eNergy aNd linEaR momentuM, i.e., they determine the metrIc tensOr g foR a gIven arranGemENt oF energy anD momEntum (EinstEin, 2001). the eFE maY be WRitteN in tHE sImpLIfied Form: em = g – R, where Em Is The ENErGy-
, instead of the more trad itional sy stemoffor ce s un ders tood by Newton (Ein stein, 2001). Einstein  prop os e d th a tthere  is nof or c e  of  g ra vit at i on , but  on ly thestructureofsp ace-time its e lf ; gravityisthe curvatur e o f spac e- tim e  caus edby th e loca l  distr ibution o fm ass, m o mentum, a nd  ene rgy (Einstein, 20 0 1; Tayler and Whe eler,19 6 6) . Gen era l relativi ty  is a geometr i ct h e ory of gravitatio n (O'Connor and  Rober ts on, 1996).  Fict it i ous  forces are  not  necessar y in g e neral r e lativit y, sin ceits  phy s ic sisex p lai n ed  wi t h t he geode si cs  of s pace - t i m e (F err aro,  2007 ). Gravitatio nal  acc e ler ation s are  str ic tly l ocal a nd ar ethe cumulativetota l effectofma nylo cal m a nifest ati ons  of cur vature( Mis ne r e tal., 1973). In any  r e g io n smallenough fo rt he curva tu reof s p a ce-ti me a n dother fo rces t o  b enegligi bl e, one  c andes cribe theregion  as an i nerti a l frame (Einst e in, 2001; Gui l in i ,  2 0 05);  sp ace-time is  eve r ywhe re l o ca lly flat(Mink ow s ki space-time), when c on sidere d ona sufficientl y small sc a l e , and an  obj e ct follows a stra ightline in it s  local L orent zian ine rtial fra m e  (Chen,201 1;O'N eil l ,  1 983; Tayler a n d  Whe el er, 196 6).  If you  le t t hespa ce -time met ric be c ur ve d,  t hen  grav i ty is su dd enl yexp laine d . If t he sp ace- ti me met ric pos s es s e s cu rv at ure,  th en  thecurv a tur e willmanifestasg ravi ty  ( Einstei n, 2001; Misn er  et al., 1 97 3).  In ge n e ral rela tivity, the space-timem etric g  de scrib es t he curvat ure  of sp ace - time;g is r elate dtoa n d rep r e se nts  t he gravita t i ona l fie ld . Th e metri c g may be thought ofas a device w hic h ma k e scor r ec t ion st o t h e  Minkowski metr ic for the  d e sc ription of gra vi ty. Giv en anyLoren t zian me tric g, g  complete ly  det e r min es the gra vitation al field( Einst e in , 200 1;Misner  e t a l., 1 973).I n g enera l rela ti vity,the p er tinent t hing that typifies grav itatio n isthe  interact ion bet ween ener gy a nd momentu m ( mas s tim esv eloci ty)a nd  th e  geom etry of space- t im e;t h is  is engende r e d  by  theEin s tein F ield  Equations (EFE). The EFE are aseto f  te n n o nlin ea r partial diff ere nt i a l equati on s that desc ribe the  f u ndame ntal i nterac tion of g ra v itatio n. F irs t publish edby Einstei nin 1915 a s ate nsor e quatio n , th e EFE are used todeter m i ne th e  sp ace-t im e geome t ry r esulting f rom the loc al dis trib ution  of mas s- energy  an dlinear mom e ntum, i.e ., th ey dete rm inethe  metri c te n s or gforagiv en arrang e m en t  o fe ner gy a nd mo me ntum  (Einstei n , 2001).  Th e  EFE ma ybew r itteni nt h e simplifi edform: E M = g – R, wher e  E M  is t he ene rgy-
, instead_of the_more traditional system of_forces understood_by_Newton (Einstein,_2001)._Einstein proposed that_there is no_force of gravitation, but_only the structure_of_space-time itself; gravity is the curvature of space-time caused by the local distribution of_mass,_momentum, and_energy_(Einstein,_2001; Tayler and Wheeler, 1966)._General relativity is a geometric_theory of_gravitation (O'Connor and Robertson, 1996). Fictitious forces are_not_necessary in general_relativity, since its physics is explained with the geodesics_of space-time (Ferraro, 2007). Gravitational accelerations_are strictly local_and_are_the cumulative total effect_of many local manifestations of curvature_(Misner et al., 1973). In any_region small enough for the curvature of_space-time and other forces to be_negligible, one can describe the_region as_an inertial frame (Einstein, 2001;_Guilini, 2005); space-time_is everywhere_locally flat (Minkowski_space-time), when considered on a sufficiently_small scale, and_an object follows a straight line_in_its local Lorentzian_inertial_frame_(Chen, 2011;_O'Neill, 1983; Tayler_and_Wheeler, 1966)._If_you let the space-time metric be_curved,_then gravity is suddenly explained. If the_space-time metric possesses curvature,_then_the curvature will manifest_as gravity (Einstein, 2001; Misner_et al., 1973). In general relativity,_the space-time_metric g_describes the curvature of space-time; g is related to and represents_the gravitational field. The metric g_may be thought of_as a_device_which makes corrections_to_the Minkowski_metric for the description of gravity. Given_any Lorentzian_metric g, g completely determines the_gravitational field (Einstein, 2001;_Misner_et al., 1973). In general relativity,_the pertinent thing that typifies gravitation_is the interaction between energy_and_momentum_(mass times velocity) and the_geometry of space-time; this is engendered_by the Einstein_Field Equations (EFE). The EFE are a_set_of ten nonlinear partial differential equations_that_describe the fundamental interaction of gravitation._First_published_by Einstein in 1915 as_a tensor equation, the EFE are_used to determine the space-time geometry resulting from the_local distribution of_mass-energy and linear momentum, i.e.,_they_determine_the metric tensor g for a given arrangement of energy_and momentum_(Einstein, 2001). The_EFE may be written in the simplified form: EM =_g – R, where EM is the_energy-