2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/204175We investigate the spacetime of a slowly rotating black hole in the Chern-Simons modified gravity. The long range feature of frame-dragging effect under the Chern-Simon gravity well explains the flat rotation curves of galaxies which is a central evidence of dark matter. Our solution provides a different scenario of rotating space from Goedel's solution.4 pages, Accepted for publication in Phys. Rev. DGeneral Relativity and Quantum Cosmologytext