Towards a novel no-hair theorem for black holes

@article{Hertog2006TowardsAN,
  title={Towards a novel no-hair theorem for black holes},
  author={Thomas Hertog},
  journal={Physical Review D},
  year={2006},
  volume={74},
  pages={084008}
}
  • T. Hertog
  • Published 16 August 2006
  • Mathematics, Physics
  • Physical Review D
We provide strong numerical evidence for a new no-scalar-hair theorem for black holes in general relativity, which rules out spherical scalar hair of static four dimensional black holes if the scalar field theory, when coupled to gravity, satisfies the Positive Energy Theorem. This sheds light on the no-scalar-hair conjecture for Calabi-Yau compactifications of string theory, where the effective potential typically has negative regions but where supersymmetry ensures the total energy is always… 
View PDF on arXiv
105 Citations
Highly Influential Citations
3
Background Citations
45
Methods Citations
7
Results Citations
1

105 Citations

No-hair theorems for black holes in the Abelian Higgs model

Motivated by the study of holographic superconductors, we generalize no-hair theorems for minimally coupled scalar fields charged under an Abelian gauge field, in arbitrary dimensions and with…

Asymptotically flat black holes with scalar hair: a review

We consider the status of black hole (BH) solutions with nontrivial scalar fields but no gauge fields, in four-dimensional asymptotically flat spacetimes, reviewing both classical results and recent…

Instability and no-hair paradigm in d-dimensional charged-AdS black holes

Exact Hairy Black Holes

This contribution reviews the recent discovery of a certain class of—regular on and outside the horizon—exact hairy black hole solutions in four dimensional general relativity. Their construction…

Dressed black holes in the new tensor–vector–scalar theory

As incarnations of gravity in its prime, black holes are arguably the best target for us to demystify gravity. Keeping in mind the prominent role black holes play in gravitational wave astronomy, it…

Non-asymptotically flat Einstein-Scalar black hole

Exact solutions in general relativity and other theories in physics are important. One of such theories is the Einstein-Scalar theory. We present an exact class of solutions in the Einstein-Scalar…

New stability results for Einstein scalar gravity

We consider asymptotically anti de Sitter gravity coupled to a scalar field with mass slightly above the Breitenlohner–Freedman bound. This theory admits a large class of consistent boundary…

Black holes with primary hair in gauged N = 8 supergravity

In this paper, we analyze the static solutions for the U(1)4 consistent truncation of the maximally supersymmetric gauged supergravity in four dimensions. Using a new parametrization of the known…

Black holes in ω-deformed gauged N = 8 supergravity

Exact hairy black brane solutions in 5d anti-de sitter space and holographic renormalization group flows

We construct a general class of exact regular black hole solutions with toroidal horizon topology in 5-dimensional Anti-deSitter gravity with a self-interacting scalar field. With these boundary…
...

References

SHOWING 1-10 OF 70 REFERENCES

Scalar hairy black holes and solitons in asymptotically flat spacetimes

A numerical analysis shows that a class of scalar-tensor theories of gravity with a scalar field minimally and nonminimally coupled to the curvature allows static and spherically symmetric black hole…

Scalar hair on the black hole in asymptotically anti--de Sitter spacetime

We examine the no-hair conjecture in asymptotically anti--de Sitter (AdS) spacetime. First, we consider a real scalar field as the matter field and assume static spherically symmetric spacetime.…

No hair for spherical black holes: Charged and nonminimally coupled scalar field with self-interaction.

  • MayoBekenstein
  • Mathematics
    Physical review. D, Particles and fields
  • 1996
We prove three theorems in general relativity which rule out classical scalar hair of static, spherically symmetric, possibly electrically charged black holes. We first generalize Bekenstein's…

Stability and thermodynamics of AdS black holes with scalar hair

Recently a class of static spherical black hole solutions with scalar hair was found in four and five dimensional gauged supergravity with modified, but anti-de Sitter (AdS) invariant boundary…

On the Existence of Conformally Coupled Scalar Field Hair for Black Holes in (Anti-)de Sitter Space

The Einstein-conformally coupled scalar field system is studied in the presence of a cosmological constant. We consider a massless or massive scalar field with no additional self-interaction, and…

Black holes with scalar hair and asymptotics in N = 8 supergravity

We consider = 8 gauged supergravity in D = 4 and D = 5. We show one can weaken the boundary conditions on the metric and on all scalars with m2 < − (D − 1)2/4 + 1 while preserving the asymptotic…

Eluding the no-hair conjecture: Black holes in spontaneously broken gauge theories.

It is shown that the standard black hole no-hair theorem underlying this belief, although true in the Abelian setting, does not necessarily extend to the non-Abelian case, indicating the possibility of solutions with nontrivial gauge and Higgs configurations decaying exponentially outside of the horizon.

Black hole hair: twenty--five years after

Originally regarded as forbidden, black hole ``hair'' are fields associated with a stationary black hole apart from the gravitational and electromagnetic ones. Several stable stationary black hole…

New black hole solutions with hair

Colored black holes.

  • Bizon
  • Physics
    Physical review letters
  • 1990
We analyze the static spherically symmetric Einstein-Yang-Mills equations with SU(2) gauge group and show numerically that the equations possess asymptotically flat solutions with regular event…
...