A Solution to Symmetric Teleparallel Gravity(7)

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.

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