论文标题
新颖的4-D高斯引擎盖广告黑洞的热力学几何形状
Thermodynamic geometry of the novel 4-D Gauss Bonnet AdS Black Hole
论文作者
论文摘要
在本文中，[1]中提出的热力学几何形状的新形式主义用于研究相变点和在四维时空中Gauss引擎盖黑洞的临界行为。在这方面，浸入热力学歧管中的某种类型的超表面的外在和内在曲率包含有关热能力的稳定性/不稳定的信息。因此，我们计算出扩展相位空间中四维中性高斯帽子黑洞外壳的$ Q $ -Zero hypersurface的内在曲率。有趣的是，固有曲率对于低温下的小黑洞可能是阳性的，这表明黑洞微结构之间的排斥相互作用。这一发现与五维中性高斯引擎盖黑洞形成鲜明对比，其微结构之间仅具有主要的有吸引力的相互作用。
In this paper, the new formalism of thermodynamic geometry proposed in [1] is employed in investigating phase transition points and the critical behavior of a Gauss Bonnet-AdS black hole in four dimensional spacetime. In this regard, extrinsic and intrinsic curvatures of a certain kind of hypersurface immersed in the thermodynamic manifold contain information about stability/instability of heat capacities. We, therefore, calculate the intrinsic curvature of the $Q$-zero hypersurface for a four-dimensional neutral Gauss Bonnet black hole case in the extended phase space. Interestingly, intrinsic curvature can be positive for small black holes at low temperature, which indicates a repulsive interaction among black hole microstructures. This finding is in contrast with the five-dimensional neutral Gauss Bonnet black hole with only dominant attractive interaction between its microstructures.
