Greybody factor and quasinormal modes of scalar and Dirac field perturbation in Schwarzschild-de Sitter-like black hole in Bumblebee gravity model

Abstract In this paper, we study the scalar and Dirac fields perturbation of Schwarzschild-de Sitter-like black hole in bumblebee gravity model. The effective potentials, greybody factors and quasinormal modes of the black hole are investigated by using the Klein–Gordon equation and Dirac equation....

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Main Authors: Yenshembam Priyobarta Singh, Telem Ibungochouba Singh
Format: Article
Language:English
Published: SpringerOpen 2024-12-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-024-13627-3
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author Yenshembam Priyobarta Singh
Telem Ibungochouba Singh
author_facet Yenshembam Priyobarta Singh
Telem Ibungochouba Singh
author_sort Yenshembam Priyobarta Singh
collection DOAJ
description Abstract In this paper, we study the scalar and Dirac fields perturbation of Schwarzschild-de Sitter-like black hole in bumblebee gravity model. The effective potentials, greybody factors and quasinormal modes of the black hole are investigated by using the Klein–Gordon equation and Dirac equation. To compute the greybody factors for scalar and Dirac fields, we use the general method of rigorous bound. We also investigate the quasinormal mode using the third order WKB approximation method and Pöschl–Teller fitting method. The impact of Lorentz invariance violation parameter L and cosmological constant $$\varLambda $$ Λ to the effective potential, greybody factors and quasinormal modes are analyzed for different modes. Increasing the parameters $$\varLambda $$ Λ and L lower the effective potentials and consequently increases the rigorous bound on the greybody factors. Our findings show that the oscillation frequency and the damping rate decrease with increasing L. We analyze the Hawking temperature, power spectrum and sparsity of Hawking radiation. Both the peak of power spectrum and total power emitted decrease with increasing L. The effect of L on the shadow radius is also discussed.
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institution Kabale University
issn 1434-6052
language English
publishDate 2024-12-01
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series European Physical Journal C: Particles and Fields
spelling doaj-art-c6ff06b7d9b24d6e90f86d4c652e5d1f2025-02-02T12:39:16ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522024-12-01841212510.1140/epjc/s10052-024-13627-3Greybody factor and quasinormal modes of scalar and Dirac field perturbation in Schwarzschild-de Sitter-like black hole in Bumblebee gravity modelYenshembam Priyobarta Singh0Telem Ibungochouba Singh1Department of Mathematics, Manipur UniversityDepartment of Mathematics, Manipur UniversityAbstract In this paper, we study the scalar and Dirac fields perturbation of Schwarzschild-de Sitter-like black hole in bumblebee gravity model. The effective potentials, greybody factors and quasinormal modes of the black hole are investigated by using the Klein–Gordon equation and Dirac equation. To compute the greybody factors for scalar and Dirac fields, we use the general method of rigorous bound. We also investigate the quasinormal mode using the third order WKB approximation method and Pöschl–Teller fitting method. The impact of Lorentz invariance violation parameter L and cosmological constant $$\varLambda $$ Λ to the effective potential, greybody factors and quasinormal modes are analyzed for different modes. Increasing the parameters $$\varLambda $$ Λ and L lower the effective potentials and consequently increases the rigorous bound on the greybody factors. Our findings show that the oscillation frequency and the damping rate decrease with increasing L. We analyze the Hawking temperature, power spectrum and sparsity of Hawking radiation. Both the peak of power spectrum and total power emitted decrease with increasing L. The effect of L on the shadow radius is also discussed.https://doi.org/10.1140/epjc/s10052-024-13627-3
spellingShingle Yenshembam Priyobarta Singh
Telem Ibungochouba Singh
Greybody factor and quasinormal modes of scalar and Dirac field perturbation in Schwarzschild-de Sitter-like black hole in Bumblebee gravity model
European Physical Journal C: Particles and Fields
title Greybody factor and quasinormal modes of scalar and Dirac field perturbation in Schwarzschild-de Sitter-like black hole in Bumblebee gravity model
title_full Greybody factor and quasinormal modes of scalar and Dirac field perturbation in Schwarzschild-de Sitter-like black hole in Bumblebee gravity model
title_fullStr Greybody factor and quasinormal modes of scalar and Dirac field perturbation in Schwarzschild-de Sitter-like black hole in Bumblebee gravity model
title_full_unstemmed Greybody factor and quasinormal modes of scalar and Dirac field perturbation in Schwarzschild-de Sitter-like black hole in Bumblebee gravity model
title_short Greybody factor and quasinormal modes of scalar and Dirac field perturbation in Schwarzschild-de Sitter-like black hole in Bumblebee gravity model
title_sort greybody factor and quasinormal modes of scalar and dirac field perturbation in schwarzschild de sitter like black hole in bumblebee gravity model
url https://doi.org/10.1140/epjc/s10052-024-13627-3
work_keys_str_mv AT yenshembampriyobartasingh greybodyfactorandquasinormalmodesofscalaranddiracfieldperturbationinschwarzschilddesitterlikeblackholeinbumblebeegravitymodel
AT telemibungochoubasingh greybodyfactorandquasinormalmodesofscalaranddiracfieldperturbationinschwarzschilddesitterlikeblackholeinbumblebeegravitymodel