Black Holes Sourced by a Massless Scalar

Cadoni, Mariano; Franzin, Edgardo

doi:10.1007/978-3-319-94256-8_4

Cited by 4 publications

(5 citation statements)

References 25 publications

(29 reference statements)

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“…As mentioned earlier, provided the self-interacting potential is semi-positive, the no hair theorem prevents the canonical minimally coupled scalar field in GR from having asymptotically flat black hole solution with a scalar hair [70][71][72]. Preserving the minimal coupling, black holes can be obtained by relaxing asymptotic flatness [73], working with non semi-positive self-interacting potential [74,75], as well as working with a phantom field [76][77][78]. Such phantom configuration is not an interesting starting point, since the ghost would persist in the DHOST frame.…”

Section: Jcap02(2020)023mentioning

confidence: 99%

“…As mentioned earlier, the no hair theorem prevents the canonical minimally coupled scalar field in GR from having black hole solution with a scalar hair [71][72][73]. Black holes are obtained at the price of working with a phantom field [74][75][76][77][78]. Such phantom configuration is not an interesting starting point, since the ghost would persist in the DHOST frame.…”

Section: Disformal Transformation Of Einstein-scalar Seed Solutionmentioning

confidence: 99%

“…Exact solutions of the Einstein-Scalar system presented in[74,75] might provide another type of seed solutions, but they turn out to be quite involved. Another possibility would be to consider for example the exact solution presented recently in[73].…”

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confidence: 99%

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Hairy black holes in DHOST theories: exploring disformal transformation as a solution generating method

Achour

Liu

Mukohyama

2020

J. Cosmol. Astropart. Phys.

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Solutions-generating methods based on field redefinitions, such as conformal mapping, play an important role in investigating exact solutions in modified gravity. In this work, we explore the possibility to use disformal field redefinitions to investigate new regions of the solution space of DHOST theories, and present new hairy black holes solutions beyond the stealth sector. The crucial ingredient is to find suitable seed solutions to generate new exact ones for DHOST theories. We first consider a seed solution of the Einstein-Scalar system describing a naked singularity. Under suitable assumptions, we derive a no-go result showing that no black hole solution can be constructed from such a seed GR solution. Then, taking into account the stability of each three degeneracy classes of quadratic DHOST theories under a general disformal mapping, we consider two kinds of known black hole solutions as seed configurations: the Schwarzschild stealth solution and the non-stealth Reissner-Nordstrom like solution. Restricting our considerations to invertible disformal transformations, we show that building new hairy black hole solutions from the stealth solution associated to a constant kinetic term is also quite constrained. We obtain new solutions which either are stealth or describe asymptotically locally flat black holes with a deficit solid angle. However, starting from the non-stealth seed solution associated to a non constant kinetic term, we show that a disformal transformation can introduce rather general modifications of the exterior geometry. Finally, we consider the construction of minimally modified hairy black hole solutions using a small disformal transformation. Further applications of this solution generating method should allow to provide new hairy rotating black hole solutions beyond the stealth sector, as well as minimally modified GR solutions useful for phenomenological investigations of compact objects beyond GR.

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Section: Jcap02(2020)023mentioning

confidence: 99%

Section: Disformal Transformation Of Einstein-scalar Seed Solutionmentioning

confidence: 99%

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Hairy black holes in DHOST theories: exploring disformal transformation as a solution generating method

Achour

Liu

Mukohyama

2020

J. Cosmol. Astropart. Phys.

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“…In this section, we explore the exact black hole solutions in the presence of canonical scalar field by using the solution-generating method [44][45][46][47]. To this end, we consider the action as follows…”

Section: Solution-generating Methodsmentioning

confidence: 99%

“…Concretely, by using the Taylor series method and the solution-generating method [44][45][46][47], we construct exact black hole solutions with minimally coupled scalar field. The scalar potential is assumed to be infinite series such that it can cover nearly all the known ones.…”

Section: Introductionmentioning

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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On black holes with scalar hairs

Gao

Qiu

2022

Gen Relativ Gravit

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Black Holes Sourced by a Massless Scalar

Cited by 4 publications

References 25 publications

Hairy black holes in DHOST theories: exploring disformal transformation as a solution generating method

Hairy black holes in DHOST theories: exploring disformal transformation as a solution generating method

On black holes with scalar hairs

On black holes with scalar hairs

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