Black hole solutions in braneworlds with induced gravity

We extend our previous study on spherically symmetric braneworld solutions with induced gravity, including nonlocal bulk effects. We find the most general static four-dimensional black hole solutions with g_tt=-g_rr^-1. They satisfy a closed system of equations on the brane and represent the strong-gravity corrections to the Schwarzschild-(A)dS₄ spacetime. These new solutions have extra terms which give extra attraction relative to the Newtonian-(A)dS₄ force; however, the conventional limits are easily obtained. These terms, when defined asymptotically, behave like AdS₄ in this regime, while when defined at infinitely short distances they predict either an additional attractive Newtonian potential or an attractive potential which scales approximately as √r. One of the solutions found gives extra deflection of light compared to Newtonian deflection.