Thermodynamic topology of D = 4,5 Horava Lifshitz black hole in two ensembles

IF 2.5 3区 物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS
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Abstract

In this paper, we investigate the thermodynamic topology of four and five-dimensional Hořava-Lifshitz (HL) black holes within Hořava gravity. To analyze their thermodynamic topology, we treat these HL black holes as topological defects in their thermodynamic spaces and compute the winding numbers at these defects. Our study is conducted in two different ensembles: the fixed ϵ ensemble and the fixed ζ ensemble, where ϵ is a parameter of the HL black holes, and ζ is its conjugate parameter. In the fixed ϵ ensemble, we consider three different horizon types: spherical (k=+1), flat (k=0), and hyperbolic (k=1), while in the fixed ζ ensemble, we examine two horizon types: spherical (k=+1) and hyperbolic (k=1). For all the aforementioned cases, we study the local and global topology of these black holes and classify them into topological classes based on their topological charges. We calculate the topological number for each case. This process uncovers some novel phase diagrams that reveal a number of multiple defect curve phenomenon. Additionally, we explore how the topological charge of these black holes depends on the values of the thermodynamic parameters. Our findings indicate that the thermodynamic topology of Hořava-Lifshitz black holes in D=4,5 is significantly influenced by the type of horizon, the choice of ensemble, the values of pressure, and the parameters ϵ or ζ.

D = 4,5 霍拉瓦-利夫希兹黑洞在两个集合中的热力学拓扑结构
在本文中,我们研究了四维和五维霍扎瓦-利夫希兹(HL)黑洞在霍扎瓦引力中的热力学拓扑。为了分析它们的热力学拓扑,我们把这些 HL 黑洞视为其热力学空间中的拓扑缺陷,并计算这些缺陷处的缠绕数。我们的研究在两种不同的集合中进行:固定集合和固定集合,其中固定集合是 HL 黑洞的一个参数,固定集合是其共轭参数。在固定集合中,我们考虑了三种不同的地平线类型:球形()、平面()和双曲面();而在固定集合中,我们研究了两种地平线类型:球形()和双曲面()。对于上述所有情况,我们研究了这些黑洞的局部和全局拓扑,并根据它们的拓扑电荷将它们划分为拓扑类。我们为每种情况计算拓扑数。这一过程发现了一些新颖的相图,揭示了一些多重缺陷曲线现象。此外,我们还探讨了这些黑洞的拓扑电荷如何取决于热力学参数值。我们的研究结果表明,Hořava-Lifshitz 黑洞的热力学拓扑结构在很大程度上受到视界类型、集合选择、压力值以及参数或......的影响。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Nuclear Physics B
Nuclear Physics B 物理-物理:粒子与场物理
CiteScore
5.50
自引率
7.10%
发文量
302
审稿时长
1 months
期刊介绍: Nuclear Physics B focuses on the domain of high energy physics, quantum field theory, statistical systems, and mathematical physics, and includes four main sections: high energy physics - phenomenology, high energy physics - theory, high energy physics - experiment, and quantum field theory, statistical systems, and mathematical physics. The emphasis is on original research papers (Frontiers Articles or Full Length Articles), but Review Articles are also welcome.
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