Static de-Sitter Black Holes Abhor Charged Scalar Hair
arXiv:2301.06312 · doi:10.1140/epjc/s10052-023-11758-7
Abstract
We prove a no charged scalar hair theorem for static black holes in de-Sitter spacetime in the region between the event horizon and the cosmological horizon. The proof does not depend on the assumption of spherical symmetry. It allows for general non-minimal coupling functions of the scalar field to gravity and electromagnetic fields, and for higher curvature term corrections to Einstein gravity. The extension to other asympitotic spacetimes is applicable by requiring appropriate boundary conditions. Our result excludes the possibility for spontaneous scalarization of charged scalar around static charged de-Sitter black holes.
arXiv comment8 pages, 0 figures
References in corpus (28)
- Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
- Measurements of Omega and Lambda from 42 High-Redshift Supernovae
- Ultralight scalars as cosmological dark matter
- Dilatonic Black Holes in Higher Curvature String Gravity
- Stationary Black Holes: Uniqueness and Beyond
- Spontaneous scalarisation of charged black holes
- Black holes with scalar hair in light of the Event Horizon Telescope
- No hair for spherical black holes: charged and nonminimally coupled scalar field with self--interaction
- Eluding the no-hair conjecture: Black holes in spontaneously broken gauge theories
- de Sitter black hole with a conformally coupled scalar field in four dimensions
- Strong cosmic censorship in charged black-hole spacetimes: still subtle
- Introduction to Holographic Superconductor Models
- Schwarzschild black holes can wear scalar wigs
- Stability of Non-Abelian Black Holes
- Are black holes a serious threat to scalar field dark matter models?
- Strong cosmic censorship for charged de Sitter black holes with a charged scalar field
- Strong cosmic censorship for the massless charged scalar field in the Reissner-Nordstrom-de Sitter spacetime
- Black hole spontaneous scalarisation with a positive cosmological constant
- Aspects of hairy black holes in spontaneously-broken Einstein-Yang-Mills systems: Stability analysis and Entropy considerations
- No Inner-Horizon Theorem for Black Holes with Charged Scalar Hairs
- Viability of complex self-interacting scalar field as dark matter
- No Cauchy Horizon Theorem for Nonlinear Electrodynamics Black Holes with Charged Scalar Hairs
- Spherically Symmetric Scalar Hair for Charged Black Holes
- Dilaton-Axion hair for slowly rotating Kerr black holes
- No hair theorems for positive Λ
- Constraining the number of horizons with energy conditions
- No hair theorems for stationary axisymmetric black holes
- Spontaneous scalarization in (A)dS gravity at zero temperature