New no-scalar-hair theorem for black-holes
arXiv:gr-qc/9601021 · doi:10.1063/1.531513
Abstract
A new no-hair theorem is formulated which rules out a very large class of non-minimally coupled finite scalar dressing of an asymptotically flat, static, and spherically symmetric black-hole. The proof is very simple and based in a covariant method for generating solutions for non-minimally coupled scalar fields starting from the minimally coupled case. Such method generalizes the Bekenstein method for conformal coupling and other recent ones. We also discuss the role of the finiteness assumption for the scalar field.
Revtex, 12 pages
References in corpus (4)
Cited by in corpus (54)
- Exact black hole solution with a minimally coupled scalar field
- No hair for spherical black holes: charged and nonminimally coupled scalar field with self--interaction
- Brans-Dicke wormholes in the Jordan and Einstein frames
- Topological black holes dressed with a conformally coupled scalar field and electric charge
- The Cauchy problem of scalar-tensor theories of gravity
- Scalar hairy black holes and solitons in asymptotically flat spacetimes
- Phases of 4D Scalar-tensor black holes coupled to Born-Infeld nonlinear electrodynamics
- On the existence of conformally coupled scalar field hair for black holes in (anti-)de Sitter space
- Cosmic Black-Hole Hair Growth and Quasar OJ287
- Black holes in the Brans-Dicke-Maxwell theory
- Electrically charged black hole with scalar hair
- Non-minimally coupled scalar fields and isolated horizons
- Scalar-tensor black holes coupled to Born-Infeld nonlinear electrodynamics
- Quasi-normal modes, bifurcations and non-uniqueness of charged scalar-tensor black holes
- On Black Hole Scalar Hair in Asymptotically Anti de Sitter Spacetimes
- Spherical Black Holes cannot Support Scalar Hair
- The vacuum revealed: the final state of vacuum instabilities in compact stars
- Scalar-tensor black holes coupled to Euler-Heisenberg nonlinear electrodynamics
- Cyclic and heteroclinic flows near general static spherically symmetric black holes
- Dressing a black hole with non-minimally coupled scalar field hair
- Brans-Dicke theory: Jordan vs Einstein Frame
- Black hole solutions in scalar-tensor symmetric teleparallel gravity
- Spherical inhomogeneous solutions of Einstein and scalar-tensor gravity: a map of the land
- Static black hole solutions with a self interacting conformally coupled scalar field
- Jordan frame no-hair for spherical scalar-tensor black holes
- Propagating torsion from first principles
- A no-hair theorem for spherically symmetric black holes in gravity
- Scalarized Black Holes in Teleparallel Gravity
- Effective field theory for black holes with induced scalar charges
- Symmetry inheritance of scalar fields
- Charged Black Hole Mergers: Orbit Circularisation and Chirp Mass Bias
- Spin-orbit effects for compact binaries in scalar-tensor gravity
- Hairs on the cosmological horizon
- Evolution of diffuse scalar clouds around binary black holes
- On uniqueness of static spacetimes with non-trivial conformal scalar field
- Black holes with electroweak hair
- Towards a no hair theorem for higher order gravity
- Constraints on the symmetry noninheriting scalar black hole hair
- Field redefinitions, Weyl invariance, and nature of mavericks
- On static solutions in 2D dilaton gravity with scalar matter
- Hairy rotating black string in the Einstein-Maxwell-Higgs system
- On the absence of scalar hair for charged rotating blackholes in non minimally coupled theories
- Higher-dimensional solitons and black holes with a non-minimally coupled scalar field
- Black Holes and Naked Singularities in Low Energy Limit of String Gravity with Modulus Field
- Conformal frames and D-dimensional gravity
- No Scalar Hair Theorem for a Charged Spherical Black Hole
- Simultaneous baldness and cosmic baldness and Kottler spacetime
- Causal Modifications of Gravity and Their Observational Bounds
- High precision numerical sequences of rotating hairy black holes
- No minimally coupled scalar black hole hair in Lanczos-Lovelock gravity
- On symmetry inheritance of nonminimally coupled scalar fields
- Stationary spacetimes with time-dependent real scalar fields
- On the detection of scalar hair
- Quasinormal modes for charged Lifshitz black holes with scalar hair