Scalar hairy black holes and scalarons in the isolated horizons formalism

Corichi, Alejandro; Nucamendi, Ulises; Salgado, Marcelo

doi:10.1103/physrevd.73.084002

Cited by 17 publications

(20 citation statements)

References 22 publications

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“…Once we give up the energy conditions (and in particular the weak one), a number of results in the literature show that the asymptotically flat black holes may possess scalar hair 1 , which otherwise is forbidden by a number of well-known theorems [4]. Restricting to the simplest case of a minimally coupled scalar field with a scalar potential which is not strictly positive, this includes both analytical [5], [6], [7], [8], [9] and numerical [10], [11] results.…”

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confidence: 99%

Axially symmetric static scalar solitons and black holes with scalar hair

et al. 2013

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We construct static, asymptotically flat black hole solutions with scalar hair. They evade the nohair theorems by having a scalar potential which is not strictly positive. By including an azimuthal winding number in the scalar field ansatz, we find hairy black hole solutions which are static but axially symmetric only. These solutions possess a globally regular limit, describing scalar solitons. A branch of axially symmetric black holes is found to possess a positive specific heat.Introduction.-The energy conditions are an important ingredient of various significant results in general relativity [1]. Essentially, they imply that some linear combinations of the energy-momentum tensor of the matter fields should be positive, or at least non-negative. However, over the last decades, it has become increasingly obvious that these conditions can be violated, even at the classical level. Remarkably enough, the violation may occur also for the simplest case of a scalar field (see e.g.[2] for a discussion of these aspects).Once we give up the energy conditions (and in particular the weak one), a number of results in the literature show that the asymptotically flat black holes may possess scalar hair 1 , which otherwise is forbidden by a number of well-known theorems [4]. Restricting to the simplest case of a minimally coupled scalar field with a scalar potential which is not strictly positive, this includes both analytical [5] Interestingly, in the limit of zero event horizon radius, some of these hairy black holes describe globally regular, particle-like objects, the so-called 'scalarons' [10]. At the same time, a complex scalar field is known for long time to possess non-topological solitonic solutions [12], even in the absence of gravity. These are the Q-balls introduced by Coleman in [13]. Such configuration owe their existence to a harmonic time dependence of the scalar field and possess a positive energy density.However, as argued below, the Q-balls can be reinterpreted as non-gravitating scalarons. The scalar field is static in this case and has a potential which takes negative values as well. As expected, the scalarons possess gravitating generalizations. However, different from the standard Q-ball case [14], their regular origin can be replaced with an event horizon. In this work we study such solutions for the simple case of a massive complex scalar field with a negative quartic self-interaction term in the potential. Apart from spherically symmetric configurations, we construct solitons and hairy black hole solutions which are static but axially symmetric only.The model.-Let us consider the action of a self-interacting complex scalar field Φ coupled to Einstein gravity in four spacetime dimensions,

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confidence: 99%

Axially symmetric static scalar solitons and black holes with scalar hair

et al. 2013

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“…Actually, abandoning the third assumption is the simplest way to circumvent the noscalar-hair theorem. Then it is found allowing for the scalar potential to be negative in some range of scalar field can lead to many scalar hairy black holes in the closed form [34][35][36][37][38][39] and numerical form [40][41][42][43]. This paper is a continuation of research in this field.…”

Section: Introductionmentioning

confidence: 89%

“…( 43) into Taylor series of 1/r and comparing Eqs. (41,42,43) with Eqs. (25,26,27), we find they are exactly identical provided that w 2 = s 2 1 /8.…”

Section: Solution-generating Methodsmentioning

confidence: 99%

On black holes with scalar hairs

Gao¹,

Qiu²

2021

Preprint

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By using the Taylor series method and the solution-generating method, we construct exact black hole solutions with minimally coupled scalar field. We find that the black hole solutions can have many hairs except for the physical mass. These hairs come from the scalar potential. Unlike the mass, there is no symmetry corresponding to these hairs, thus they are not conserved and one cannot understand them as Noether charges. They arise as coupling constants. Although there are many hairs, the black hole has only one horizon. The scalar potential becomes negative for sufficient large φ (or in the vicinity of black hole singularity). Therefore, the no-scalar-hair theorem does not apply to our solutions since the latter does not obey the dominant energy condition. Although the scalar potential becomes negative for sufficient large φ, the black holes are stable to both odd parity perturbations and scalar perturbations. As for even parity perturbations, we find there remains parameter space for the stability of the black holes. Finally, the black hole thermodynamics are developed.

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“…In this article we study the static, spherically symmetric Einstein-Skyrme black hole solutions first found in [4,5,6]. The Einstein-Skyrme solutions have a number of features generic to certain models involving non-abelian gauge fields [7] that complement features of models previously considered in the context of the isolated horizons conjectures [8,9,10,11]. Like a large class of models admitting solitons in flat space, Skyrme black holes have an upper limit on the radius of the black hole.…”

Section: Introductionmentioning

confidence: 99%

“…This is not the case for the Einstein-Yang-Mills black holes considered in [3], since Yang-Mills theory does not admit flat space solitons and the trace of its energy-momentum tensor is always zero. However, in the Einstein-Yang-Mills-Higgs model considered in [9], the trace of the energy-momentum tensor is generically non-zero and black holes exist of arbitrary size. The baryon current is given by…”

Section: Static Skyrme Equationsmentioning

confidence: 99%

Skyrme black holes in the isolated horizons formalism

Nielsen

2006

Phys. Rev. D

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We study static, spherically symmetric, Skyrme black holes in the context of the assumption that they can be viewed as bound states between ordinary bare black holes and solitons. This assumption and results stemming from the isolated horizons formalism lead to several conjectures about the static black hole solutions. These conjectures are tested against the Skyrme black hole solutions. It is shown that, while there is in general good agreement with the conjectures, a crucial aspect seems to violate one of the conjectures.

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Scalar hairy black holes and scalarons in the isolated horizons formalism

Cited by 17 publications

References 22 publications

Axially symmetric static scalar solitons and black holes with scalar hair

Axially symmetric static scalar solitons and black holes with scalar hair

On black holes with scalar hairs

Skyrme black holes in the isolated horizons formalism

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