彩虹黑弦的热力学性质

Thermodynamics of the rainbow black string

摘要:

双重相对论（DSR）是描述平直时空中的量子引力的一个有效模型. 当我们试图将该模型纳入到弯曲时空中考虑时，一种被称为“彩虹引力”的理论可帮助我们实现这一推广，此时背景时空依赖于探测粒子的能量. 事实上受粒子能量影响的度规的形式依赖于正交系的选取. 在本文中，主要考虑了自由落体参考系下的彩虹静态柱对称黑洞（彩虹黑弦）. 我们得到了取一阶近似的彩虹黑弦的霍金温度和熵，这种修正来源于我们考虑的彩虹引力效应.

Abstract:

Doubly special relativity (DSR) is an effective model to describe quantum gravity in flat spacetime. One way to incorporate this formalism into curved spacetime is the “rainbow gravity”, where the background spacetime is dependent on the energy of the probing particles. The form the energy dependent metric actually depends on the choice of the orthonormal frame. In this paper, we consider the rainbow static cylindrical black hole, namely the rainbow black string, in the free-fall frame scenario. Specifically, we obtain the rainbow corrections to the Hawking temperature and entropy of the rainbow black string.