Spherically Symmetric Geometries inf(T)andf(R)Gravitational Theories

Gamal G. L. Nashed
2015 Advances in High Energy Physics  
Using the well know relation between Ricci scalar,R, and torsion scalar,T, that is,R=-T-2∇αTα, we show that, for any spherically symmetric spacetime whose (i) scalar torsion vanishing, that is,T=TμναSαμν=0or (ii) total derivative term, that is,∇αTαwithTαis the contraction of the torsion, vanishing, or (iii) the combination of scalar torsion and total derivative term vanishing, could be solution forf(T)andf(R)gravitational theories.
doi:10.1155/2015/821519 fatcat:jcqrejzaybcqfhnzqaimxgawcq