English

Scalar field excited around a rapidly rotating black hole in Chern-Simons modified gravity

General Relativity and Quantum Cosmology 2014-09-10 v2

Abstract

We discuss a Chern-Simons (CS) scalar field around a rapidly rotating black hole in dynamical CS modified gravity. The CS correction can be obtained perturbatively by considering the Kerr spacetime to be the background. We obtain the CS scalar field solution around the black hole analytically and numerically, assuming a stationary and axisymmetric configuration. The scalar field diverges on the inner horizon when we impose the boundary condition that the scalar field is regular on the outer horizon and vanishes at infinity. Therefore, the CS scalar field becomes problematic on the inner horizon.

Keywords

Cite

@article{arxiv.1406.0957,
  title  = {Scalar field excited around a rapidly rotating black hole in Chern-Simons modified gravity},
  author = {Kohkichi Konno and Rohta Takahashi},
  journal= {arXiv preprint arXiv:1406.0957},
  year   = {2014}
}

Comments

10 pages, 5 figures; Revised version, accepted for publication in PRD