Black Strings from Minimal Geometric Deformation in a Variable Tension Brane-World

Understand

We study brane-world models with variable brane tension and compute corrections to the horizon of a black string along the extra dimension.

• The four-dimensional geometry of the black string on the brane is obtained by means of the minimal geometric deformation approach, and the bulk corrections are then encoded in additional terms involving the covariant derivatives of the variable brane tension.
• Our investigation shows that the variable brane tension strongly affects the shape and evolution of the black string horizon along the extra dimension, at least in a near-brane expansion.
• In particular, we apply our general analysis to a model motivated by the E\"otv\"os branes, where the variable brane tension is related to the Friedmann-Robertson-Walker brane-world cosmology.