4.7 Article

Black hole solutions in braneworlds with induced gravity

Journal

PHYSICAL REVIEW D
Volume 66, Issue 10, Pages -

Publisher

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.66.104028

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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)dS(4) spacetime. These new solutions have extra terms which give extra attraction relative to the Newtonian-(A)dS(4) force; however, the conventional limits are easily obtained. These terms, when defined asymptotically, behave like AdS(4) 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 rootr. One of the solutions found gives extra deflection of light compared to Newtonian deflection.

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