No static regular black holes in Einstein-complex-scalar-Gauss-Bonnet gravity

Kai Lin, Shaojun Zhang, Chao Zhang, Xiang Zhao, Bin Wang, and Anzhong Wang
Phys. Rev. D 102, 024034 – Published 10 July 2020

Abstract

In this brief report, we investigate the existence of four-dimensional static spherically symmetric black holes (BHs) in the Einstein-complex-scalar-Gauss-Bonnet gravity with an arbitrary potential V(ϕ) and a coupling f(ϕ) between the scalar field ϕ and the Gauss-Bonnet (GB) term. We find that static regular BH solutions with complex scalar hairs do not exist. This conclusion does not depend on the coupling between the GB term and the scalar field nor on the scalar potential V(ϕ) and the presence of a cosmological constant Λ (which can be either positive or negative), as long as the scalar field remains complex and is regular across the horizon.

  • Received 20 April 2020
  • Accepted 29 June 2020

DOI:https://doi.org/10.1103/PhysRevD.102.024034

© 2020 American Physical Society

Physics Subject Headings (PhySH)

Gravitation, Cosmology & Astrophysics

Authors & Affiliations

Kai Lin1,2,†, Shaojun Zhang3,4,‡, Chao Zhang5,§, Xiang Zhao5,∥, Bin Wang6,7,¶, and Anzhong Wang5,*

  • 1Hubei Subsurface Multi-scale Imaging Key Laboratory, Institute of Geophysics and Geomatics, China University of Geosciences, Wuhan 430074, Hubei, China
  • 2Instituto de Física, Universidade de São Paulo, São Paulo, Brazil
  • 3Institute for Advanced Physics and Mathematics, Zhejiang University of Technology, Hangzhou 310032, China
  • 4United Center for Gravitational Wave Physics, Zhejiang University of Technology, Hangzhou 310032, China
  • 5GCAP-CASPER, Physics Department, Baylor University, Waco, Texas 76798-7316, USA
  • 6Center for Gravitation and Cosmology, Yangzhou University, Yangzhou 225009, China
  • 7School of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai 200240, China

  • *Corresponding author. Anzhong_Wang@baylor
  • lk314159@hotmail.com
  • sjzhang84@hotmail.com
  • §C_Zhang@baylor.edu
  • Xiang_Zhao@baylor.edu
  • wang_b@sjtu.edu.cn

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Issue

Vol. 102, Iss. 2 — 15 July 2020

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