Asymptotically flat solutions with scalar hair in a subclass of Horndeski theories

  • John de Leon Celestial National Institute of Physics, University of the Philippines Diliman
  • Michael Francis Ian Guerra Vega, II National Institute of Physics, University of the Philippines Diliman

Abstract

Black holes in general relativity have been long known to possess a limited number of charges known as hair. It has been recently known that this is also true in modified theories of gravity collectively known as Horndeski theories where a scalar field provides an additional degree of freedom other than the metric. We provide a more explicit proof for this no-hair theorem in a subclass of these theories where the derivatives of the shift-symmetric scalar field are coupled to the Einstein tensor. It is shown that a static, spherically symmetric, and asymptotically flat black hole cannot possess a nontrivial scalar field, and the resulting spacetime is the Schwarzschild solution.

Published
2018-05-25
How to Cite
[1]
J. Celestial and M. F. I. Vega. Asymptotically flat solutions with scalar hair in a subclass of Horndeski theories, Proceedings of the Samahang Pisika ng Pilipinas 36, SPP-2018-PB-27 (2018). URL: https://paperview.spp-online.org/proceedings/article/view/SPP-2018-PB-27.
Section
Poster Session B (Complex Systems, Simulations, and Theoretical Physics)