2024-03-28T10:13:08Zhttps://eprints.lib.hokudai.ac.jp/dspace-oai/requestoai:eprints.lib.hokudai.ac.jp:2115/298712022-11-17T02:08:08Zhdl_2115_20045hdl_2115_139Does a black hole rotate in Chern-Simons modified gravity?Konno, KohkichiMatsuyama, ToyokiTanda, Satoshi420Rotating 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-->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.American Physical SocietyJournal Articleapplication/pdfhttp://hdl.handle.net/2115/29871https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/29871/1/PRD76-02.pdf0556-28211089-4918Physical Review D7620240092007-07-20enginfo:doi/10.1103/PhysRevD.76.024009Copyright © 2007 American Physical Societypublisher