An exact black hole spacetime with scalar field and its shadow together with quasinormal modes

Yu, Shuang; Gao, Changjun

doi:10.48550/arxiv.2001.01137

Cited by 2 publications

(3 citation statements)

References 56 publications

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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: 98%

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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: 98%

“…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].…”

mentioning

confidence: 99%

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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“…Based on the general relativity and alternative theories of gravity, QNMs have been studied in a wide range of issues [3][4][5][6][7][8]. Most of the research of QNMs rely on numerical computations, but only a few on analytical computations.…”

Section: Introductionmentioning

confidence: 99%

Null geodesics, quasinormal modes and the correspondence with shadows in high-dimensional Einstein-Yang-Mills spacetimes

Guo,

Miao

2020

Preprint

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Null geodesics, quasinormal modes of a massless scalar field perturbation and the correspondence with shadow radii are investigated in the background spacetime of high-dimensional Einstein-Yang-Mills black holes. Based on the properties of null geodesics, we obtain the connection between the radius of a photon sphere and the radius of a horizon in the five-and six-dimensional Einstein-Yang-Mills spacetimes. Especially in the five-dimensional case, there exist two branches for the radius of a photon sphere, but only the branch outside the event horizon satisfies the condition of circular null geodesics. Moreover, we find no reflecting points of shadow radii and no spiral-like shapes on the complex plane of quasinormal frequencies and verify the correspondence between the quasinormal modes in the eikonal limit and shadow radii in high-dimensional Einstein-Yang-Mills spacetimes.

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An exact black hole spacetime with scalar field and its shadow together with quasinormal modes

Cited by 2 publications

References 56 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

Null geodesics, quasinormal modes and the correspondence with shadows in high-dimensional Einstein-Yang-Mills spacetimes

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