Teleparallel gravity models, in which the curvature and the nonmetricity of spacetime are both set zero, are widely studied in the literature. We work a different teleparallel theory, in which the curvature and the torsion of spacetime are both constrained
r=C.Sincewearedealingwithsymmetricteleparallelgravity,itisnecessaryalsotoanalyzethebehaviorofnonmetricity.Asseenfrom(45),thenonmetricityinvariantdivergesnotonlyattheoriginr=0,butalsoattheSchwarzschildhorizonr=C.ThehorizonisaregularsurfacefromtheviewpointoftheRiemanniangeometry,butitissingularfromtheviewpointofsymmetricteleparallelgravity.WeintendtoclarifythegeometricalandphysicalmeaningofthesingularitiesinSTPGbyinvestigatingmattercouplingtoSTPGinaseparatepaper.Acknowledgement
ThisworkissupportedbytheScienti cResearchProject(BAP)2002FEF007,PamukkaleUniversity,Denizli,Turkey.
References
[1]M.Adak,T.DereliandL.H.Ryder,Int.J.Mod.Phys.,D12,(2003),145.
(arXiv:gr-qc/0208042)
[2]K.HayashiandT.Nakano,Prog.Theor.Phys.,38,(1967),491.
[3]K.HayashiandT.Shirafuji,Phys.Rev.,D19,(1979),3524.
[4]Y.N.ObukhovandJ.G.Pereira,Phys.Rev.,D67,(2003),044016.
(arXiv:gr-qc/0212080)
[5]J.W.Maluf,Phys.Rev.,D67,(2003),108501.
(arXiv:gr-qc/0304005)
[6]H.I.Arcos,V.C.DeAndradeandJ.G.Pereira,Int.J.Mod.Phys.,D13,(2004),807.
(arXiv:gr-qc/0403074)
[7]I.M.Benn,T.DereliandR.W.Tucker,J.Phys.,A15,(1982),849.
[8]J.M.NesterandH.J.Yo,ChineseJ.Phys.,37,(1999),113.
(arXiv:gr-qc/9809049)
¨[9]T.Dereli,M.Onder,J.Schray,R.W.TuckerandC.Wang,Class.Quant.Grav.,13,
(1996),L103.
[10]F.W.Hehl,J.D.McCrea,E.W.MielkeandY.Ne’eman,Phys.Rep.,258,(1995),1.