<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mo stretchy="false">⟨</mml:mo><mml:msup><mml:mrow><mml:mi>ϕ</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup><mml:mo stretchy="false">⟩</mml:mo></mml:mrow></mml:math>
 for a massive scalar field in global monopole spacetime

Piedra, Owen Pavel Fernández

doi:10.1103/physrevd.101.125016

Cited by 3 publications

(3 citation statements)

References 36 publications

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“…Here the dimensionless parameter η 2 is defined byη 2 ≡ 1 − 8πη 2 , where η represents the global monopole and its effects have been explored in various contexts, see e.g. [42][43][44][45][46]. In the limit of η 2 = 0, Schwarzschild-AdS spacetimes may be recovered.…”

Section: A the Line Elementmentioning

confidence: 99%

Bifurcation of the Maxwell quasinormal spectrum on asymptotically anti–de Sitter black holes

et al. 2021

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We study the Maxwell quasinormal spectrum on asymptotically anti-de Sitter black holes with a set of two Robin type boundary conditions, by requiring the energy flux to vanish at asymptotic infinity. Focusing, for illustrative purposes, on Schwarzschild-anti-de-Sitter black holes both without and with a global monopole, we unveil that, on the one hand, the Maxwell quasinormal spectrum bifurcates as the black hole radius increases for both boundary conditions, and which is termed as the mode split effect; while on the other hand, with an appropriate fixed black hole radius but increasing the monopole parameter, the first (second) boundary condition may trigger (terminate) the mode split effect.

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Section: A the Line Elementmentioning

confidence: 99%

Bifurcation of the Maxwell quasinormal spectrum on asymptotically anti–de Sitter black holes

et al. 2021

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“…The gravitational properties of monopoles have been extensively studied, and an unusual property induced by global monopoles is that it possesses a solid deficit angle. This property makes black holes with a global monopole and without a global monopole topologically different, and thus leads to interesting physical consequences [45][46][47][48][49][50][51][52].…”

Section: Introductionmentioning

confidence: 99%

Maxwell quasinormal modes on a global monopole Schwarzschild-anti-de Sitter black hole with Robin boundary conditions

et al. 2021

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We generalize our previous studies on the Maxwell quasinormal modes around Schwarzschild-anti-de-Sitter black holes with Robin type vanishing energy flux boundary conditions, by adding a global monopole on the background. We first formulate the Maxwell equations both in the Regge–Wheeler–Zerilli and in the Teukolsky formalisms and derive, based on the vanishing energy flux principle, two boundary conditions in each formalism. The Maxwell equations are then solved analytically in pure anti-de Sitter spacetimes with a global monopole, and two different normal modes are obtained due to the existence of the monopole parameter. In the small black hole and low frequency approximations, the Maxwell quasinormal modes are solved perturbatively on top of normal modes by using an asymptotic matching method, while beyond the aforementioned approximation, the Maxwell quasinormal modes are obtained numerically. We analyze the Maxwell quasinormal spectrum by varying the angular momentum quantum number $$\ell $$ ℓ , the overtone number N, and in particular, the monopole parameter $$8\pi \eta ^2$$ 8 π η 2 . We show explicitly, through calculating quasinormal frequencies with both boundary conditions, that the global monopole produces the repulsive force.

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Section: Introductionmentioning

confidence: 99%

Maxwell quasinormal modes on a global monopole Schwarzschild-anti-de Sitter black hole with Robin boundary conditions

Wang,

Chen,

Pan

et al. 2021

Preprint

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We generalize our previous studies on the Maxwell quasinormal modes around Schwarzschild-antide-Sitter black holes with Robin type vanishing energy flux boundary conditions, by adding a global monopole on the background. We first formulate the Maxwell equations both in the Regge-Wheeler-Zerilli and in the Teukolsky formalisms and derive, based on the vanishing energy flux principle, two boundary conditions in each formalism. The Maxwell equations are then solved analytically in pure anti-de Sitter spacetimes with a global monopole, and two different normal modes are obtained due to the existence of the monopole parameter. In the small black hole and low frequency approximations, the Maxwell quasinormal modes are solved perturbatively on top of normal modes by using an asymptotic matching method, while beyond the aforementioned approximation, the Maxwell quasinormal modes are obtained numerically. We analyze the Maxwell quasinormal spectrum by varying the angular momentum quantum number , the overtone number N , and in particular, the monopole parameter 8πη 2 . We show explicitly, through calculating quasinormal frequencies with both boundary conditions, that the global monopole produces the repulsive force.

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⟨ϕ2⟩ for a massive scalar field in global monopole spacetime

Cited by 3 publications

References 36 publications

Bifurcation of the Maxwell quasinormal spectrum on asymptotically anti–de Sitter black holes

Bifurcation of the Maxwell quasinormal spectrum on asymptotically anti–de Sitter black holes

Maxwell quasinormal modes on a global monopole Schwarzschild-anti-de Sitter black hole with Robin boundary conditions

Maxwell quasinormal modes on a global monopole Schwarzschild-anti-de Sitter black hole with Robin boundary conditions

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