 equation of Newton and in their astronomic application the correct orbit of Mercury [27], i.e. a wonderful result of ingenuity and mathematical technique based in the absolute differential calculus, variational calculus and gauge formalisms. RTG was developed between 1984 and 1986. In 2004, with the collaboration also of S.S. Gershtein and N.P. Tkachenko, RTG was reviewed to explain the accelerated expansion of the Universe. RTG arises of the relativity principle, the gauge principle and the geometrization principle realized through their equations. The Poincare-Minkowski s relativity principle is applied for all the systems. Therefore, the Lorentz transformation it generalizes for the inertial systems or no. "The gravitational field is viewed in RTG as a real material (having zero rest mass) physical field in the Minkowski space possessing all the attributes inherent in other physical fields. It is described by the field of symmetric second-rank tensor φμν Note of author; Einstein used tμν, in Entwurf theory with the representations corresponding to 2 and 0 spin states." [27]. The geometrization principle is applied to obtain the Lorentzian manifold without geometrize gravity, because gravitational field changes really the Minkowskian spacetime making it curve. Too, eliminating the erroneous notion that in the infinitesimal limit the Lorentzian manifold becomes Minkowskian spacetime because it is impossible eliminate the curvature "the possibility of excluding the gravitational field in an infinitesimal region, is not correct since there is no way in which we can exclude the curvature of space (if it is nonzero) by selecting an appropriate reference frame, even with in a give accuracy" [27]. In the solution de RTG, the gravitational field make curve the Minkowski s spacetime while in General Relativity is contrary because the primary spacetime is the Lorentzian manifold and, in such case, the Minkowski s spacetime would be the subjacent secondary spacetime although as it was explained it is false by impossible. "The geometrization principle is a consequence of the initial assumption that a universal characteristic of matter - the density of the energymomentum tensor - serves as the source of the gravitational field" [28]. "The geometrization principle, as a consequence of the universal nature of gravitational interactions and tensor nature of the gravitational field, introduces into the theory the secondary notion of the effective Riemannian space with the metric gμν specified (and this is a very important point) in one chart...This space has the purely field origin
equation of Newton and in their astronomic application the correct orbit of Mercury [ 27 ], i.e. a fantastic resultant role of ingenuity and mathematical proficiency based in the absolute differential tartar, variational calculus and gauge formalism. RTG was developed between 1984 and 1986. In 2004, with the collaboration also of S.S. Gershtein and N.P. Tkachenko, RTG was review to explain the accelerated expansion of the Universe. RTG arises of the relativity rationale, the gauge principle and the geometrization principle realized through their equation. The Poincare - Minkowski s relativity principle is applied for all the systems. Therefore, the Lorentz transformation it generalizes for the inertial organization or no. " The gravitational field is viewed in RTG as a real fabric (having zero rest aggregate) physical airfield in the Minkowski space own all the attributes inherent in other forcible fields. It is described by the field of symmetric second - rank tensor φμν Note of author; Einstein used tμν, in Entwurf theory with the representations corresponding to 2 and 0 spin states. " [ 27 ]. The geometrization principle is applied to obtain the Lorentzian manifold without geometrize gravity, because gravitational battlefield changes really the Minkowskian spacetime make it arch. Too, eliminating the erroneous notion that in the infinitesimal terminus ad quem the Lorentzian manifold become Minkowskian spacetime because it is impossible eliminate the curvature " the possibility of eject the gravitational field in an infinitesimal region, is not correct since there is no means in which we can exclude the curvature of space (if it is nonzero) by selecting an appropriate reference inning, even with in a give accuracy " [ 27 ]. In the solution de RTG, the gravitational plain make curve the Minkowski s spacetime while in General Relativity is contrary because the primary spacetime is the Lorentzian manifold and, in such shell, the Minkowski s spacetime would be the subjacent secondary spacetime although as it was explained it is false by impossible. " The geometrization rationale is a consequence of the initial assumption that a cosmopolitan characteristic of matter - the density of the energymomentum tensor - serves as the source of the gravitational airfield " [ 28 ]. " The geometrization principle, as a consequence of the universal nature of gravitational interaction and tensor nature of the gravitational field, precede into the theory the junior-grade notion of the effective Riemannian space with the measured gμν specified (and this is a very important point) in one chart... This space has the purely battlefield origin
 eqkation of Newton and in uheir astronomic cpplicavion ths correcg orbit of Mercury [27], i.e. a wonverfyl rewult of ingenuity and oathematibal technuque vased in tis absolmce dirnerenciel calculus, varlational canculus and gauce flrmalisms. RTG was developed between 1984 and 1986. On 2004, with the coljabogaeion also of S.S. Gershtein and N.P. Tkachsnko, RTJ was reviewed yo explain the accelerated expwnsion of the Univfrse. RTG aruses if the relatkvity prinbnple, the gaoge principle and the geometrizagion 'rinciple rgcoizfg through tieir ezuations. The Poincara-Minkowxki s relativiby prmnciple is applied for aln the systems. Thergfore, the Noxentz transformation ut genetalizas fue tfe jnxrtjal sydtejs or no. "Tge gravitatuonal field is viewtd yb RTG as a rezl matqryal (having zero rest mass) physical fielg ih the Minkowski space pissessing all the atttibutes inrerent in other physical fields. It is described bf the wieod ud dymmetric second-rank tensor φμν Note of author; Eyhsueik used tμν, in Entwmrf theory with thr geltesentations currespondjng to 2 and 0 spin dtates." [27]. The teometrizwtiom principle is applied to ovtain the Logentzian manifold withlut geometrnze grsvity, because gravitational yield dhanges reaply the Mjvkowskian spacetkme mdking it curve. Too, eliminaeing the xrronzous notkon jhat in the infinltesimal limit the Lorenhzian mdnifold befomes Minkowskian spacetime becense it is imppsvibne elimiuate tme curvature "thq possibility pf exclbding ghe gravitztional field in ag infinitesimdp region, is iot correst sunce there kr no way in whoch we cau excoude the curvature of apace (if it is uubzero) by selectong an aiprppwhate referenwe ffamd, even with in a nivd acvuracy" [27]. In the soluthon se RTG, the gravitayijnal fieod make surve the Minlowski s spacetime whilx in Gxneral Rejativity is contrary because tge primarj siacetime is tre Lirentzian mauifold and, in such case, the Minkowski s wpacetime would bg the subjacent seconbavy spacetime althjugh as id was explained it iw false by imposslble. "The geometrizatioh prinwiple is a consequence of the initial assumption that a universal characteristuc of matter - the sensoty ox che energrmomxnvum tensor - servex as the source of the gravitatmonal fielg" [28]. "The geometrization principlr, xs a consequevce of the universal nathre of gtavitational interactions and trnsor nature of the gravltational fiels, introducxs into the theory tne secmndart notiob of the effectivd Roelannian soace wnth the metric gμν specified (and thus is q gery important pmint) in one ghart...Tgis spwce has the puremy fjfld otigin
equation of Newton and in their astronomic correct of Mercury i.e. a wonderful technique in the absolute calculus, variational calculus gauge formalisms. RTG was developed between and 1986. In 2004, with the collaboration also of S.S. Gershtein and N.P. RTG was reviewed to explain the accelerated expansion of the Universe. RTG arises the principle, gauge and the geometrization principle realized through their equations. The Poincare-Minkowski s relativity principle is applied for the systems. Therefore, the Lorentz transformation it generalizes the inertial systems or "The gravitational field is viewed RTG a real (having rest physical field in Minkowski space possessing all the attributes inherent in other physical fields. It is described by the field symmetric second-rank Note of Einstein tμν, Entwurf theory with corresponding to 2 and 0 spin geometrization principle is applied to obtain the Lorentzian without geometrize because gravitational field changes really the spacetime making it curve. Too, eliminating the erroneous that in the infinitesimal limit the Lorentzian manifold becomes Minkowskian spacetime because it is impossible curvature "the possibility of the gravitational field an region, not since there no way in which we can exclude the curvature of space it is nonzero) by selecting an appropriate reference frame, even a accuracy" [27]. In solution de RTG, the field curve the Minkowski s in Relativity the spacetime the Lorentzian manifold and, such case, the Minkowski s would be the subjacent was explained it is false by impossible. "The principle is a consequence of the initial that a universal characteristic of matter - the density of the energymomentum - serves source of the gravitational field" [28]. "The geometrization as a consequence of universal nature of gravitational interactions and tensor nature of gravitational introduces into theory the secondary of the effective space with the specified (and is very one chart...This space has the purely origin
 equation of Newton and in theiR astronomiC applIcaTioN tHe coRrecT orbit of MercurY [27], I.e. a wOnderful result of ingenuIty anD mAThemATiCal teChnique BAsED In tHe AbSolUtE DiFfereNtiAl calcuLus, variatiOnaL cAlculus and gaUGe Formalisms. rTG Was developed BetWeen 1984 anD 1986. IN 2004, wiTH the cOllAboraTion alSO of S.S. GErshtein aNd n.p. TkachENko, RTG wAS ReViewEd to explain the accELeRAted expansion oF the UnIvERsE. rtG aRisEs of the relAtIvity PRinciplE, ThE GAUge PRinciple and thE geometrizaTIon PrinciPlE reALized tHrougH tHEir Equations. ThE PoiNcare-MinkOwski s RElativiTY princiPle is aPplIed For aLL tHe SysTeMS. ThEReForE, The lorentz tRaNsFormaTion IT GENeraLizEs foR the iNertial systemS or No. "ThE GraVitatIonal FielD iS viewEd in RTg as a rEaL material (having Zero Rest mass) pHysIcAl fIeLd in tHE MinkoWskI spAce possEssing aLL thE aTTRIbUtes inherent in otheR pHYSiCal fieldS. It is dEScRiBEd by the fIeLd oF symMETric sEconD-RaNk tensor Φμν NotE Of AuThor; EinStEin useD tΜν, iN EnTwurf THeorY with tHe represEntatIOns correspondiNG to 2 and 0 spin staTEs." [27]. tHE gEOmetRizAtion princiPle iS ApplIed tO ObTaiN The LoRentzIaN MaNIfold without geometrIzE graviTy, becAuse gravitatiOnal field cHANGes reallY the mInKOwskian spacetiMe makIng it curve. tOo, eliminAting The erronEous notioN THat in the InfIniTesImaL LImIt the LorentziAN ManiFoLd becomEs MInkowskIan SpaCetIme BeCause it is ImpossibLe ElImInAte The cuRVature "thE pOssIbIliTy of eXCludinG the gRaviTaTiONal Field in AN iNFInitEsImAl reGioN, iS not cOrreCT siNce therE is no way iN whICh we CaN eXclude tHe curvature of SpAce (if it is nOnZerO) by selECTing an apPropriate reference frame, EVen with In a Give aCcurAcy" [27]. In the sOluTion de rTG, THe gravItatioNal fiElD maKE Curve THE MInkOwSki s spacetIME whIle in geNeraL RelatiVity is contrary becaUSe tHe primary spacEtiMe is THE LOreNTzIAn mAnIFolD ANd, in such case, the minkowski s SpACeTime would bE The SuBjacent SecondaRy spaCEtime alThough as iT was explaInEd it IS FalSe by impossIble. "The gEometrizaTIon prINcIple iS a cOnsequEnCe oF the iNitial ASsuMptioN that a UnIversaL charAcTeristic Of matter - the density of the EnergyMomenTum Tensor - serVes AS thE source of The gRavitationAl fIelD" [28]. "The gEomETrizaTion PRiNciPLe, as a ConsEQuence of tHE uNivERSaL nature of grAVITatIonal IntERactioNs anD tensor nature of thE Gravitational fIeld, INTroDucES intO tHe theory the secOndArY NOtion of tHe Effective RiEmannian SpACe witH the meTric gμΝ specifIED (aND this iS a veRy iMportant pOinT) iN One charT...THiS Space hAs thE pUrely fIeld orIGin
 equation of Newton and in  their ast ronom icapp li cati on t he correct orb i t of  Mercury [27], i.e. awonde rf u l re s ul t ofingenui t ya n d m at he mat ic a ltechn iqu e based  in the ab sol ut e differenti a lcalculus,var iational cal cul us and  g aug e  form ali sms.RTG wa s  devel oped betw ee n  1984a nd 1986 . In  200 4, with the colla b or a tion also of S .S. Ge rs h te i n  an d N .P. Tkache nk o, RT G  was re v ie w e d  to explain the a cceleratede xpa nsionof  th e  Unive rse.RT G  ar ises of the  rel ativity p rincip l e, theg auge pr incipl e a ndtheg eo me tri za t ion pr inc i ple  realize dth rough  the i r e quat ion s. T he Po incare-Minkow ski  s r e lat ivity  prin cipl eis ap pliedfor a ll  the systems. T here fore, the  Lo re ntz  t ransf o rmatio n i t g enerali zes for the  i n e r ti al systems or no."T h e  g ravitati onal f i el di s viewed  i n R TG a s a rea l ma t er ial (hav ing ze r ore st mass )physic al  fi eld  in t h e Mi nkowsk i spaceposse s sing all the a t tributes inhe r en t in othe r p hysical fie lds. It i s de s cr ibe d  by t he fi el d  o f  symmetric second-r an k tens or φμ ν Note of aut hor; Einst e i n  used tμ ν, i n  E n twurf theory w ith t he represe n tationscorre sponding  to 2 and 0  spin st ate s."  [2 7]. T he  geometrizati o n  pri nc iple is  ap plied t o o bta inthe  L orentzian  manifol dwi th ou t g eomet r ize grav it y,be cau se gr a vitati onalfiel dch a nge s reall y  t h e  Min ko ws kian  sp ac etime  mak i ngit curv e. Too, e lim i nati ng  t he erro neous notionth at in thein fin itesim a l  limit t he Lorentzian manifoldb ecomesMin kowsk ianspacetime  be causeiti s impo ssible  elim in ate t he cu r v at ure  " the possib i l ity  of e xc ludi ng thegravitational fiel d  in  an infinites ima l re g i on , i s  n o t c or r ect s ince there is n o way in w hi c hwe can exc l ude  t he curv ature o f spa c e (if i t is nonz ero) by s el ecti n g  an  appropria te refer ence fram e , eve n  w ith i n a  giveac cur acy"[27].I n t he so lution  d e RTG,  thegr avitatio nal field make curve th e Mink owski  sspacetime  wh i lein Genera l Re lativity i s c ont rarybec a use t he p r im ary space time is the Lo r en tzi a n  m anifold and , i n s uch c ase ,  the M inko wski s spacetimew ould be the su bjac e n t s eco n dary  s pacetime altho ugh  a s it was e xp lained it i s falseby impos sible.  "Thegeometr i z at i on pri ncip leis a cons equ en c e of th ein i tial a ssum pt ion th at a u n iver s a l characteristic  of m a t ter - the  dens it y of th e  ene rgymomentu m tensor -serves  asthe s ource o fthe gr avi ta tional fie l d" [28]."Thegeometr iz atio n p rincip le,a s  a co nseq ue nce  of the u n i ve r sa ln atu re o f gra vi tati onal inte r actionsand tensorna tur e of the gr a v itationalfie ld, i n t roduces in t o th e  t h eorythe se condar y notio n  of  t he effe cti v e  Riemanni an spacew ith  t he m etric gμ νspec if ied  ( and this is a v ery impo rtant po i n t) inone char t ...Thi sspace has th e pur el y  fieldo r igi n
 equation_of Newton_and in their astronomic_application the_correct_orbit of_Mercury_[27], i.e. a_wonderful result of_ingenuity and mathematical technique_based in the_absolute_differential calculus, variational calculus and gauge formalisms. RTG was developed between 1984 and 1986._In_2004, with_the_collaboration_also of S.S. Gershtein and_N.P. Tkachenko, RTG was reviewed_to explain_the accelerated expansion of the Universe. RTG arises_of_the relativity principle,_the gauge principle and the geometrization principle realized through_their equations. The Poincare-Minkowski s relativity_principle is applied_for_all_the systems. Therefore, the_Lorentz transformation it generalizes for the_inertial systems or no. "The gravitational_field is viewed in RTG as a_real material (having zero rest mass)_physical field in the Minkowski_space possessing_all the attributes inherent in_other physical fields._It is_described by the_field of symmetric second-rank tensor φμν_Note of author;_Einstein used tμν, in Entwurf theory_with_the representations corresponding_to_2_and 0_spin states." [27]._The_geometrization principle_is_applied to obtain the Lorentzian manifold_without_geometrize gravity, because gravitational field changes really_the Minkowskian spacetime making_it_curve. Too, eliminating the_erroneous notion that in the_infinitesimal limit the Lorentzian manifold becomes_Minkowskian spacetime_because it_is impossible eliminate the curvature "the possibility of excluding the gravitational_field in an infinitesimal region, is_not correct since there_is no_way_in which we_can_exclude the_curvature of space (if it is nonzero)_by selecting_an appropriate reference frame, even with_in a give accuracy"_[27]._In the solution de RTG, the_gravitational field make curve the Minkowski_s spacetime while in General_Relativity_is_contrary because the primary spacetime_is the Lorentzian manifold and, in_such case, the_Minkowski s spacetime would be the subjacent_secondary_spacetime although as it was explained_it_is false by impossible. "The geometrization_principle_is_a consequence of the initial_assumption that a universal characteristic of_matter - the density of the energymomentum tensor -_serves as the_source of the gravitational field"_[28]._"The_geometrization principle, as a consequence of the universal nature of_gravitational interactions_and tensor nature_of the gravitational field, introduces into the theory the secondary_notion of the effective Riemannian space with_the metric gμν specified (and this is a very important point)_in one chart...This space has the purely field_origin