Rotating black hole in extended Chern-Simons modified gravity

Abstract

We investigate a slowly rotating black hole in four-dimensional extended Chern-Simons modified gravity. We obtain an approximate solution that reduces to the Kerr solution when a coupling constant vanishes. The Chern-Simons correction effectively reduces the frame-dragging effect around a black hole in comparison with that of the Kerr solution.

9 pages, 1 figure, to appear in Progress of Theoretical Physics, typos corrected

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