Abstract
Rotating black hole solutions in the -dimensional Chern-Simons modified gravity theory are discussed by taking account of perturbation around the Schwarzschild solution. The zenith-angle dependence of a metric function related to the frame-dragging effect is determined from a constraint equation independently of a choice of the embedding coordinate. We find that at least within the framework of the first-order perturbation method, the black hole cannot rotate for finite black hole mass if the embedding coordinate is taken to be a timelike vector. However, the rotation can be permitted in the limit of (where is the black hole mass and is the radius). For a spacelike vector, the rotation can also be permitted for any value of the black hole mass.
- Received 20 April 2007
DOI:https://doi.org/10.1103/PhysRevD.76.024009
©2007 American Physical Society