发表机构
Deen Dayal Upadhyaya Gorakhpur University; Symbiosis Institute of Technology, Nagpur Campus, Symbiosis International (Deemed University)（迪恩·达亚尔·乌帕迪亚亚戈勒克普尔大学; 西姆比奥西斯理工学院那格浦尔校区，西姆比奥西斯国际（认定）大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
研究通过有效势形式分析对数卡尔布-拉姆ond黑洞中测试粒子运动，推导相关守恒量，研究轨道稳定性等，发现非线性对数修正影响准周期振荡和热力学行为，黑洞参数起关键调节作用，为探索非线性KR引力提供框架。
AI 中文摘要
与传统线性耦合框架不同，本研究探讨黑洞强场区域更显著的非线性效应。研究了由场的非线性对数耦合产生的一类新的卡尔布-拉姆ond黑洞，即对数卡尔布-拉姆ond黑洞。对数耦合对时空几何产生强场修正，使其显著偏离史瓦西和雷斯纳-诺德斯特龙黑洞。用有效势形式分析测试粒子运动，推导圆赤道测地线的守恒能量和角动量，研究圆轨道稳定性和最内稳定圆轨道位置，发现其强烈依赖模型参数Q、l和β。周转频率及相关近日点进动表明非线性对数修正可大幅改变准周期振荡可观测量。还研究了霍金温度和能量发射率，发现非线性耦合也对黑洞热力学行为和蒸发特性有不同影响。结果表明黑洞参数是轨道动力学、振荡特性和热演化的关键调节因素，为通过强场天体物理现象探索非线性KR引力提供统一框架。
英文摘要
In contrast to conventional linear coupling frameworks, the proposed work investigated the nonlinear effects that become more significant in the strong field regime of a black hole. We have investigated a new class of Kalb Ramond black holes generated by a nonlinear logarithmic coupling of the field, referred to as a Logarithmic Kalb Ramond black hole. The logarithmic coupling introduces strong-field modifications to the spacetime geometry, leading to significant departures from the Schwarzschild and Reissner Nordstrom BHs. We analyze the motion of test particles using the effective potential formalism and derive the conserved energy and angular momentum for circular equatorial geodesics. The stability of circular orbits and the location of the innermost stable circular orbit are examined, revealing a strong dependence on the model parameters Q, l, and $β$. The epicyclic frequencies (radial, vertical, and azimuthal) together with the associated periastron precession demonstrate that nonlinear logarithmic corrections can substantially modify quasi periodic oscillation observables. We further investigate the Hawking temperature and energy emission rate, which show that the nonlinear coupling also impacts distinct imprints on the thermodynamic behavior and evaporation characteristics of the black hole. Our results also identify the BH parameters as key regulators of the orbital dynamics, oscillatory properties, and thermal evolution, providing a unified framework for probing nonlinear KR gravity through strong-field astrophysical phenomena.
