Shrouded black holes in Einstein-Gauss-Bonnet gravity

0567208 - FZÚ 2023 RIV US eng J - Journal Article
Babichev, E. - Emond, William T. - Ramazanov, Sabir
Shrouded black holes in Einstein-Gauss-Bonnet gravity.
Physical Review D. Roč. 106, č. 6 (2022), č. článku 063524. ISSN 2470-0010. E-ISSN 2470-0029
R&D Projects: GA ČR(CZ) GJ20-16531Y
Institutional support: RVO:68378271
Keywords : coupling: nonminimal * field theory: scalar * black hole: static * gravitation: model
OECD category: Particles and field physics
Impact factor: 5, year: 2022
Method of publishing: Limited access
https://doi.org/10.1103/PhysRevD.106.063524

We study black holes in a modified gravity scenario involving a scalar field quadratically coupled to the Gauss-Bonnet invariant. The scalar is assumed to be in a spontaneously broken phase at spatial infinity due to a bare Higgs-like potential. For a proper choice of sign, the nonminimal coupling to gravity leads to symmetry restoration near the black hole horizon, prompting the development of the scalar wall in its vicinity. The wall thickness depends on the bare mass of the scalar and can be much smaller than the Schwarzschild radius. In a weakly coupled regime, the quadratic coupling to the Gauss-Bonnet invariant effectively becomes linear, and no walls are formed. We find approximate analytical solutions for the scalar field in the test field regime, and obtain numerically static black hole solutions within this setup.
Permanent Link: https://hdl.handle.net/11104/0338490