Revisiting effective Einstein equations on a 3-brane in the presence of torsion

Abstract

The effective Einstein equations on a 3-brane embedded in a 5-dimensional Riemann-Cartan bulk spacetime are revisited. Addressing the shortcomings in the hitherto published junction conditions on the brane in the presence of torsion, we have elaborated on our general form of the junction conditions recently published. Applying our general junction conditions, we have formulated the effective Einstein equations on a Z2 symmetric brane in a standard form highlighting the difference to those published so far.