标题： 类似于卡西米尔的4D爱因斯坦-高斯-博内引力探针 显示英文标题

标题： A Casimir-like probe for 4D Einstein-Gauss-Bonnet gravity

摘要： 利用类似于卡西米尔构型中的虚拟跃迁，研究了四维爱因斯坦-高斯-博内（4D EGB）引力的量子特性。 本研究采用基于量子光学的方法，其中，一个Unruh-DeWitt探测器（建模为一个两能级原子）沿着径向类时测地线自由下落，进入由4D EGB引力描述的无电荷、非旋转黑洞，并以通常的Unruh方式热化。 黑洞渐近闵可夫斯基空间，并由接近其视界的卡西米尔边界包围，作为加速场模式的源，与下落的探测器相互作用。 观测由渐近无穷远处的观察者进行，假设为Boulware场态。 我们的数值分析表明，与爱因斯坦引力不同，在4D EGB引力中，黑洞可以增强或抑制加速度辐射的强度，这取决于高斯-博内耦合参数 $\alpha$。 具体而言，我们观察到负值的 $\alpha$时辐射增强，正值的 $\alpha$时辐射被抑制。 这些发现为量化高曲率贡献对4D时空中的黑洞几何结构中量子场行为的影响提供了重要的见解。 显示英文摘要

摘要： Virtual transitions in a Casimir-like configuration are utilized to probe quantum aspects of four-dimensional Einstein-Gauss-Bonnet (4D EGB) gravity. This study employs a quantum optics-based approach, wherein an Unruh-DeWitt detector (modeled as a two-level atom) follows a radial timelike geodesic, falling freely into an uncharged, nonrotating black hole described by 4D EGB gravity, becoming thermalized in the usual Unruh manner. The black hole, asymptotically Minkowskian, is enclosed by a Casimir boundary proximate to its horizon, serving as a source for accelerated field modes that interact with the infalling detector. Observations are conducted by an asymptotic infinity observer, assuming a Boulware field state. Our numerical analysis reveals that, unlike in Einstein gravity, black holes in 4D EGB gravity can either enhance or suppress the intensity of acceleration radiation, contingent upon the Gauss-Bonnet coupling parameter $\alpha$. Specifically, we observe radiation enhancement for negative $\alpha$ and suppression for positive $\alpha$. These findings offer substantial insights into quantifying the influence of higher-curvature contributions on the behavior of quantum fields in black hole geometries within a 4D spacetime.