多自旋微扰、热力学以及大质量引力中雷斯纳 - 诺德斯特龙黑洞的观测特征
Multi-Spin Perturbations, Thermodynamics, and Observational Signatures of Reissner-Nordstrom Black Holes in Bumblebee Gravity
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中文总结 AI 辅助
研究大质量引力中带电雷斯纳 - 诺德斯特龙黑洞，用统一特克尔方程结合多种方法分析其动力学与热力学性质，包括计算准正则模频率、灰体因子、霍金温度等，揭示洛伦兹破缺对黑洞多方面性质的影响。
中文摘要 AI 辅助
本文对大质量引力框架下带电雷斯纳 - 诺德斯特龙黑洞的动力学和热力学性质进行了全面研究，其中发生了自发洛伦兹对称性破缺。为分析动力学行为，应用纽曼 - 彭罗斯形式体系中的统一特克尔方程评估任意自旋（\(s = 0, 1/2, 1, 3/2, 2\)）的无质量场微扰。通过推导有效势，用帕德改进的六阶WKB近似和渐近迭代法计算准正则模频率并评估灰体因子。还评估了这些准正则模在当前和未来引力波探测器可探测黑洞质量范围内的观测前景。此外，研究了修正的热力学结构，计算了霍金温度、含对数热修正的熵和热容量。热力学分析揭示了二阶相变，其临界半径受背景电荷严重影响。这些发现为洛伦兹破缺如何影响带电黑洞的物理稳定性、热演化和相结构提供了有价值的理论见解。
英文摘要
In this paper, we present a comprehensive investigation into the dynamical and thermodynamic properties of the charged Reissner-Nordström (RN) black hole (BH) in the bumblebee gravity framework, where spontaneous Lorentz symmetry breaking (LSB) occurs. To analyze the dynamical behavior, we apply the unified Teukolsky master equation within the Newman-Penrose formalism to evaluate massless field perturbations of arbitrary spins ($s=0, 1/2, 1, 3/2, 2$). By deriving the corresponding effective potentials, we compute the quasinormal modes (QNMs) frequencies using the Padé-improved 6th-order WKB approximation and the Asymptotic Iteration Method (AIM) and evaluate the greybody factors for all perturbing fields, demonstrating how the LSB parameter $L$ and the BH charge $Q$ modify the spacetime's damped oscillations and wave propagation. We further assess the observational prospects of these QNMs by determining the black-hole mass ranges accessible to current and future gravitational-wave detectors, including LISA, Virgo, and LIGO. Moreover, we investigate the modified thermodynamic structure, calculating the Hawking temperature, entropy with logarithmic thermal corrections and heat capacity. Our thermodynamic analysis reveals a second-order phase transition whose critical radius is heavily governed by the background charge. These combined findings provide valuable theoretical insights into how Lorentz violation affects the physical stability, thermal evolution, and phase structure of charged BHs.
