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

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

2007-06-21

arxiv.org/abs/0706.3080v1

Phys.Rev.D76:024009,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages, Accepted for publication in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.76.024009

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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