Shadow and quasinormal modes of GUP corrected Grumiller black holes

IF 2.5 3区物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS

Nuclear Physics B Pub Date : 2025-04-11 DOI:10.1016/j.nuclphysb.2025.116900

Ahmad Al-Badawi , Dhruba Jyoti Gogoi , Yassine Sekhmani , Kuantay Boshkayev

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Abstract

This study investigates the shadows, scalar perturbations, and quasinormal modes (QNMs) of Grumiller black holes (BHs) within the framework of the Generalized Uncertainty Principle (GUP). The GUP introduces quantum corrections that are most significant near the event horizon, while the Rindler acceleration parameter predominantly influences the spacetime at larger distances. We derive analytical expressions for the photon sphere and shadow radii, showing that quantum corrections cause both to decrease. Additionally, we explore the dynamics of massless scalar perturbations and compute the quasinormal frequencies using the higher-order WKB approximation, supported by time-domain analysis. Our results indicate that while the Rindler acceleration significantly impacts the oscillation frequency and damping rate of gravitational wave (GW) ring downs, the effect of the GUP parameters is relatively small. This work clarifies how these distinct influences operate in different regions of the black hole spacetime and provides valuable insights into the quantum-corrected features of black holes, including their shadows and QNMs.

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GUP修正的Grumiller黑洞的阴影和准正态模式

本研究在广义不确定性原理（GUP）的框架下研究了Grumiller黑洞（BHs）的阴影、标量扰动和拟正态模（QNMs）。GUP引入的量子修正在视界附近最为显著，而伦德勒加速参数主要影响较大距离的时空。我们导出了光子球半径和阴影半径的解析表达式，表明量子修正导致两者减小。此外，我们探讨了无质量标量扰动的动力学，并使用高阶WKB近似计算了拟非正常频率，并得到了时域分析的支持。研究结果表明，虽然伦德勒加速度对引力波衰荡振荡频率和阻尼率有显著影响，但GUP参数的影响相对较小。这项工作阐明了这些不同的影响如何在黑洞时空的不同区域起作用，并为黑洞的量子校正特征提供了有价值的见解，包括它们的阴影和QNMs。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Nuclear Physics B 物理-物理：粒子与场物理

CiteScore

5.50

自引率

7.10%

发文量

302

审稿时长

1 months

期刊介绍： Nuclear Physics B focuses on the domain of high energy physics, quantum field theory, statistical systems, and mathematical physics, and includes four main sections: high energy physics - phenomenology, high energy physics - theory, high energy physics - experiment, and quantum field theory, statistical systems, and mathematical physics. The emphasis is on original research papers (Frontiers Articles or Full Length Articles), but Review Articles are also welcome.