Quasinormal modes and GUP-corrected Hawking radiation of BTZ black holes within modified gravity frameworks

This paper aims to explore the quasinormal modes (QNMs) and effective potential profiles of massless and rotating BTZ black holes within the frameworks of f(R) and Ricci-Inverse (RI) modified gravity theories, which, while producing similar space-time structures, exhibit variations due to distinct c...

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Main Authors: Faizuddin Ahmed, Ahmad Al-Badawi, İzzet Sakallı, Abdelmalek Bouzenada
Format: Article
Language:English
Published: Elsevier 2025-02-01
Series:Nuclear Physics B
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S0550321325000161
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author Faizuddin Ahmed
Ahmad Al-Badawi
İzzet Sakallı
Abdelmalek Bouzenada
author_facet Faizuddin Ahmed
Ahmad Al-Badawi
İzzet Sakallı
Abdelmalek Bouzenada
author_sort Faizuddin Ahmed
collection DOAJ
description This paper aims to explore the quasinormal modes (QNMs) and effective potential profiles of massless and rotating BTZ black holes within the frameworks of f(R) and Ricci-Inverse (RI) modified gravity theories, which, while producing similar space-time structures, exhibit variations due to distinct cosmological constants, Λm. We derive wave equations for these black hole perturbations and analyze the behavior of the effective potential Veff(r) under different values of mass m, cosmological constant Λm, and modified gravity parameters α1, α2, β1, β2, and γ. The findings indicate that increasing mass and parameter values results in a raised potential barrier, implying stronger confinement of perturbations and impacting black hole stability. Incorporating the generalized uncertainty principle, we also study its effect on the thermodynamics of rotating BTZ black holes, demonstrating how GUP modifies black hole radiation, potentially observable in QNM decay rates. Additionally, we investigate the motion of particles through null and timelike geodesics in static BTZ space-time, observing asymptotic behaviors for null geodesics and parameter-dependent shifts in potential for timelike paths. The study concludes that modified gravity parameters significantly influence QNM frequencies and effective potential profiles, offering insights into black hole stability and suggesting that these theoretical predictions may be tested through gravitational wave observations.
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issn 0550-3213
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publishDate 2025-02-01
publisher Elsevier
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series Nuclear Physics B
spelling doaj-art-8ff3b69d0cf043d69007a341dd4bd4ea2025-01-29T04:59:59ZengElsevierNuclear Physics B0550-32132025-02-011011116806Quasinormal modes and GUP-corrected Hawking radiation of BTZ black holes within modified gravity frameworksFaizuddin Ahmed0Ahmad Al-Badawi1İzzet Sakallı2Abdelmalek Bouzenada3Department of Physics, University of Science & Technology Meghalaya, Ri-Bhoi, Meghalaya, 793101, IndiaDepartment of Physics, Al-Hussein Bin Talal University, 71111, Ma'an, JordanPhysics Department, Eastern Mediterranean University, Famagusta 99628, North Cyprus, via Mersin 10, Turkey; Corresponding author.Laboratory of Theoretical and Applied Physics, Echahid Cheikh Larbi Tebessi University, 12001, AlgeriaThis paper aims to explore the quasinormal modes (QNMs) and effective potential profiles of massless and rotating BTZ black holes within the frameworks of f(R) and Ricci-Inverse (RI) modified gravity theories, which, while producing similar space-time structures, exhibit variations due to distinct cosmological constants, Λm. We derive wave equations for these black hole perturbations and analyze the behavior of the effective potential Veff(r) under different values of mass m, cosmological constant Λm, and modified gravity parameters α1, α2, β1, β2, and γ. The findings indicate that increasing mass and parameter values results in a raised potential barrier, implying stronger confinement of perturbations and impacting black hole stability. Incorporating the generalized uncertainty principle, we also study its effect on the thermodynamics of rotating BTZ black holes, demonstrating how GUP modifies black hole radiation, potentially observable in QNM decay rates. Additionally, we investigate the motion of particles through null and timelike geodesics in static BTZ space-time, observing asymptotic behaviors for null geodesics and parameter-dependent shifts in potential for timelike paths. The study concludes that modified gravity parameters significantly influence QNM frequencies and effective potential profiles, offering insights into black hole stability and suggesting that these theoretical predictions may be tested through gravitational wave observations.http://www.sciencedirect.com/science/article/pii/S0550321325000161Modified gravity theoriesBTZ space-timeQuasinormal modesThermodynamic propertiesGeodesics equations
spellingShingle Faizuddin Ahmed
Ahmad Al-Badawi
İzzet Sakallı
Abdelmalek Bouzenada
Quasinormal modes and GUP-corrected Hawking radiation of BTZ black holes within modified gravity frameworks
Nuclear Physics B
Modified gravity theories
BTZ space-time
Quasinormal modes
Thermodynamic properties
Geodesics equations
title Quasinormal modes and GUP-corrected Hawking radiation of BTZ black holes within modified gravity frameworks
title_full Quasinormal modes and GUP-corrected Hawking radiation of BTZ black holes within modified gravity frameworks
title_fullStr Quasinormal modes and GUP-corrected Hawking radiation of BTZ black holes within modified gravity frameworks
title_full_unstemmed Quasinormal modes and GUP-corrected Hawking radiation of BTZ black holes within modified gravity frameworks
title_short Quasinormal modes and GUP-corrected Hawking radiation of BTZ black holes within modified gravity frameworks
title_sort quasinormal modes and gup corrected hawking radiation of btz black holes within modified gravity frameworks
topic Modified gravity theories
BTZ space-time
Quasinormal modes
Thermodynamic properties
Geodesics equations
url http://www.sciencedirect.com/science/article/pii/S0550321325000161
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