Solutions on a brane in a bulk spacetime with Kalb-Ramond field

Understand

Effective gravitational field equations on a brane have been derived, when the bulk spacetime is endowed with the second rank antisymmetric Kalb-Ramond field.

• Since both the graviton and the Kalb-Ramond field are closed string excitations, they can propagate in the bulk.
• After deriving the effective gravitational field equations on the brane, we solve them for a static spherically symmetric solution.
• It turns out that the solution so obtained represents a black hole or naked singularity depending on the parameter space of the model.