Spherically symmetric geometries in \(f(T)\) and \(f(R)\) gravitational theories
Summary: Using the well know relation between Ricci scalar, \(R\), and torsion scalar, \(T\), that is, \(R=-T-2\nabla_\alpha T^\alpha\), we show that, for any spherically symmetric spacetime whose (i) scalar torsion vanishing, that is, \(T=T_{\mu\nu}^\alpha S_\alpha^{\mu\nu}=0\) or (ii) total derivative term, that is, \(\nabla_\alpha T^\alpha\) with \(T^\alpha\) is the contraction of the torsion, vanishing, or (iii) the combination of scalar torsion and total derivative term vanishing, could be solution for \(f(T)\) and \(f(R)\) gravitational theories.
scientific article; zbMATH DE number 6505180
scientific article