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

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.

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

References in corpus (8)

• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Preliminary Maps and Basic Results
• Is Cosmic Speed-Up Due to New Gravitational Physics?
• Modified gravity with negative and positive powers of the curvature: unification of the inflation and of the cosmic acceleration
• Relativistic gravitation theory for the MOND paradigm
• Chern-Simons Modification of General Relativity
• Dark matter maps reveal cosmic scaffolding
• The black holes of topologically massive gravity
• Ellipsoidal Universe Can Solve The CMB Quadrupole Problem

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