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Winstanley, Elizabeth

doi:10.1023/a:1022871809835

Cited by 80 publications

(85 citation statements)

References 35 publications

(110 reference statements)

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“…The range of r is taken as r > −2Gµ for negative mass, and r > 0 otherwise. These singularities are surrounded by an event horizon located at 9) provided the mass is bounded from below by…”

Section: Black Hole Solutionmentioning

confidence: 99%

Exact black hole solution with a minimally coupled scalar field

2004

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An exact four-dimensional black hole solution of gravity with a minimally coupled self-interacting scalar field is reported. The event horizon is a surface of negative constant curvature enclosing the curvature singularity at the origin, and the scalar field is regular everywhere outside the origin. This solution is an asymptotically locally AdS spacetime. The strong energy condition is satisfied on and outside the event horizon. The thermodynamical analysis shows the existence of a critical temperature, below which a black hole in vacuum undergoes a spontaneous dressing up with a nontrivial scalar field in a process reminiscent of

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Section: Black Hole Solutionmentioning

confidence: 99%

Exact black hole solution with a minimally coupled scalar field

2004

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“…Λ > 0 no black no black no black no black no black hole hair [28] hole hair [8,11] hole hair [28] hole hair [25] hole hair [28] Λ = 0 no black no black no black unstable black no black hole hair [26] hole hair [4] hole hair [26] hole hair [18] hole hair [26] Λ < 0 no black no black stable black stable solitons unstable black hole hair [28] hole hair [9] hole hair [28] and black holes [24,25] hole hair [28] TABLE I: Summary of existence and non-existence of soliton and black hole solutions in four space-time dimensions.…”

Section: The Model a Field Equationsmentioning

confidence: 99%

“…Although the scalar field does not suffer from the divergences of the BBMB black hole, it is still unstable [23]. As for minimal coupling, in the presence of a negative cosmological constant, fourdimensional stable solitons [24] and black holes [25] have been found when the self-interaction potential is either zero or quadratic.…”

Section: Introductionmentioning

confidence: 99%

Higher-dimensional solitons and black holes with a nonminimally coupled scalar field

Hosler

Winstanley

2009

Phys. Rev. D

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ReuseUnless indicated otherwise, fulltext items are protected by copyright with all rights reserved. The copyright exception in section 29 of the Copyright, Designs and Patents Act 1988 allows the making of a single copy solely for the purpose of non-commercial research or private study within the limits of fair dealing. The publisher or other rights-holder may allow further reproduction and re-use of this version -refer to the White Rose Research Online record for this item. Where records identify the publisher as the copyright holder, users can verify any specific terms of use on the publisher's website. TakedownIf you consider content in White Rose Research Online to be in breach of UK law, please notify us by emailing eprints@whiterose.ac.uk including the URL of the record and the reason for the withdrawal request. arXiv:0907.1487v2 [gr-qc] 11 Jun 2012Higher-dimensional solitons and black holes with a non-minimally coupled scalar field We study higher-dimensional soliton and hairy black hole solutions of the Einstein equations non-minimally coupled to a scalar field. The scalar field has no self-interaction potential but a cosmological constant is included. Non-trivial solutions exist only when the cosmological constant is negative and the constant governing the coupling of the scalar field to the Ricci scalar curvature is positive. At least some of these solutions are stable when this coupling constant is not too large.

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“…Within these models, conformal coupling of the scalar field is of particular interest, both with and without an additional coupling to the Maxwell field (see, for example, [3] for a brief review of work on this situation). In asymptotically flat space, with no scalar self-interaction potential, there is an exact, closed form solution (the BBMB solution) [4,5,6], which has not been without controversy [7] because the scalar field diverges on the event horizon.…”

Section: Introductionmentioning

confidence: 99%

“…For minimally coupled scalar fields, nontrivial scalar field hair is possible if the scalar field potential is non-convex [11,12], although the hair is unstable [12]. For conformally coupled scalar fields, if the scalar field potential is zero or quadratic, then there are no nontrivial black hole solutions [3]. However, in the presence of a quartic self-interaction potential there is an exact, closed-form solution for both charged and neutral black holes found recently by Martinez, Troncoso and Zanelli [1], which we shall refer to hereafter as the MTZ solution.…”

Section: Introductionmentioning

confidence: 99%

Instability of a four-dimensional de Sitter black hole with a conformally coupled scalar field

et al. 2004

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We study the stability of new neutral and electrically charged four-dimensional black hole solutions of Einstein's equations with a positive cosmological constant and conformally coupled scalar field [1]. The neutral black holes are always unstable. The charged black holes are also shown analytically to be unstable for the vast majority of the parameter space of solutions, and we argue using numerical techniques that the configurations corresponding to the remainder of the parameter space are also unstable.

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Untitled

Cited by 80 publications

References 35 publications

Exact black hole solution with a minimally coupled scalar field

Exact black hole solution with a minimally coupled scalar field

Higher-dimensional solitons and black holes with a nonminimally coupled scalar field

Instability of a four-dimensional de Sitter black hole with a conformally coupled scalar field

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