标题： 四维中性洛伦兹NUT电荷时空的一致热力学拓扑分类 显示英文标题

标题： Classifying topology of consistent thermodynamics of the four-dimensional neutral Lorentzian NUT-charged spacetimes

摘要： 在本文中，通过采用广义非定态赫尔姆霍兹自由能的统一修改形式，我们研究了四维中性洛伦兹型Taub-NUT、Taub-NUT-AdS和Kerr-NUT时空的拓扑数，并发现这些解也可以归类为三种著名黑洞解中的一种，这表明从热力学拓扑方法的观点来看，这些时空应被视为一般的黑洞。 显示英文摘要

摘要： In this paper, via employing the uniformly modified form of the generalized off-shell Helmholtz free energy, we investigate the topological numbers for the four-dimensional neutral Lorentzian Taub-NUT, Taub-NUT-AdS and Kerr-NUT spacetimes, and find that these solutions can also be classified into one of three types of those well-known black hole solutions, which implies that these spacetimes should be viewed as generic black holes from the viewpoint of the thermodynamic topological approach.