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Black hole solutions in braneworlds with induced gravity

2002/08/31 by Georgios Kofinas, G. Kofinas, Eleftherios Papantonopoulos +3 · 4 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #astro-ph #gr-qc #hep-th

paper · pdf · doi:10.1103/physrevd.66.104028

published as Phys.Rev.D66:104028,2002 · 20 pages, 2 figures, minor changes, final version to app. in Phys. Rev. D

arxiv created 2002/09/19 · openalex publication_date 2002/11/27 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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 gtt=\ensuremath-grr^\ensuremath-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.

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