Evasion of No-Hair Theorems and Novel Black-Hole Solutions in Gauss-Bonnet Theories

2017/11/30 by Georgios Antoniou, G. Antoniou, Athanasios Bakopoulos +3 · 8 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Black hole (networking) #Computer science #Cosmology and Gravitation Theories #Coupling (piping) #Einstein #Function (biology) #Gauss #Geometry #Horizon #Mathematical physics #Mathematics #Physics #Pulsars and Gravitational Waves Research #Quantum mechanics #Scalar (mathematics) #Theoretical physics #gr-qc #hep-th

paper · pdf · doi:10.1103/physrevlett.120.131102

published as Phys. Rev. Lett. 120, 131102 (2018) · PdfLatex, 6 pages, a variety of numerical solutions and 2 figures were added, version to appear in Physical Review Letters

arxiv created 2018/03/12 · openalex publication_date 2018/03/30 · arxiv updated 2018/04/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We consider a general Einstein-scalar-Gauss-Bonnet theory with a coupling function f(ϕ). We demonstrate that black-hole solutions appear as a generic feature of this theory since a regular horizon and an asymptotically flat solution may be easily constructed under mild assumptions for f(ϕ). We show that the existing no-hair theorems are easily evaded, and a large number of regular black-hole solutions with scalar hair are then presented for a plethora of coupling functions f(ϕ).

Citations

• Stability of non-Abelian black holes and catastrophe theory
• Order α′ (two-loop) equivalence of the string equations of motion and the σ-model Weyl invariance conditions
• Eluding the no-hair conjecture: Black holes in spontaneously broken gauge theories
• Second-order scalar-tensor field equations in a four-dimensional space
• Asymptotically flat black holes with scalar hair: A review
• Spontaneous Scalarization of Black Holes and Compact Stars from a Gauss-Bonnet Coupling
• New Gauss-Bonnet Black Holes with Curvature-Induced Scalarization in Extended Scalar-Tensor Theories

Cited by

• Primordial Black Holes: A Review of Formation and Evolution
• Spontaneous Scalarization of Black Holes and Compact Stars from a Gauss-Bonnet Coupling
• New Gauss-Bonnet Black Holes with Curvature-Induced Scalarization in Extended Scalar-Tensor Theories
• Black holes, gravitational waves and fundamental physics: a roadmap
• Stability of scalarized black hole solutions in scalar-Gauss-Bonnet gravity
• Dark-Matter Induced Scalarization of Black Holes in Extended Scalar-Tensor-Gauss-Bonnet Theories
• Dynamical charged black hole spontaneous scalarization in Anti-de Sitter spacetimes
• Odd-parity stability of hairy black holes in U(1) gauge-invariant scalar-vector-tensor theories
• Exterior spacetime of relativistic stars in scalar-Gauss-Bonnet gravity