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arXiv · 0706.3080

Does a black hole rotate in Chern-Simons modified gravity?

Kohkichi Konno·Toyoki Matsuyama·Satoshi Tanda
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Abstract

Rotating black hole solutions in the (3+1)-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 $M/r \to 0$ (where $M$ is the black hole mass and $r$ is the radius). For a spacelike vector, the rotation can also be permitted for any value of the black hole mass.

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Kohkichi Konno, Toyoki Matsuyama, Satoshi Tanda. 2007-06-21. Does a black hole rotate in Chern-Simons modified gravity?. https://doi.org/10.1103/physrevd.76.024009

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