标题： 卡罗尔·霍金效应 显示英文标题

标题： Carroll Hawking effect

摘要： 最近引入了具有相关卡洛温度的卡洛黑洞。到目前为止，尚不清楚它们是否表现出类似于霍金效应的现象。为了解决这个问题，我们研究了卡洛黑洞背景下的标量场。受异常方法的启发，我们推导出一个类似于霍金的能量-动量张量，该张量与卡洛温度和斯特藩-玻尔兹曼定律相容。我们推导过程中的关键步骤包括卡洛极值面上能量的有限性和与卡洛沃德恒等式的兼容性，从而分别消除了卡洛类比中的鲍尔德真空和乌恩鲁真空。 显示英文摘要

摘要： Carroll black holes with an associated Carroll temperature were introduced recently. So far, it is unclear if they exhibit a Hawking-like effect. To solve this, we study scalar fields on Carroll black hole backgrounds. Inspired by anomaly methods, we derive a Hawking-like energy-momentum tensor compatible with the Carroll temperature and the Stefan-Boltzmann law. Key steps in our derivation are the finiteness of energy at the Carroll extremal surface and compatibility with the Carroll Ward identities, thereby eliminating, respectively, the Carroll-analogs of the Boulware and Unruh vacua.