Thermodynamic topology of Kiselev-AdS black holes within f(R,T)gravity  

作　　者：Saeed Noori Gashti Mohammad Ali S.Afshar Mohammad Reza Alipoury Yassine Sekhmani Jafar Sadeghi Javlon Rayimbaeva 

机构地区：[1]School of Physics,Damghan University,Damghan 3671641167,Iran [2]Department of Physics,Faculty of Basic Sciences,University of Mazandaran,Babolsar 47416-95447,Iran [3]Center for Theoretical Physics,Khazar University,41 Mehseti Street,Baku,AZ1096,Azerbaijan [4]Centre for Research Impact&Outcome,Chitkara University Institute of Engineering and Technology,Chitkara University,Rajpura,140401,Punjab,India [5]Canadian Quantum Research Center,204-300232 Ave Vernon,BC V1T 2L7,Canada [6]Institute of Fundamental and Applied Research,National Research University TIIAME,Kori Niyoziy 39,Tashkent 100000,Uzbekistan [7]University of Tashkent for Applied Sciences,Str.Gavhar 1,Tashkent 100149,Uzbekistan [8]Urgench State University,Kh.Alimdjan str.14,Urgench 220100,Uzbekistan [9]Tashkent State Technical University,Tashkent 100095,Uzbekistan

出　　处：《Chinese Physics C》2025年第3期262-276,共15页中国物理C(英文版)

摘　　要：In this paper,we investigate the topological charge and conditions for the existence of the photon sphere in Kiselev-anti-de Sitter(AdS)black holes within f(R,T)gravity.Furthermore,we establish their topological classifications.We employ two different methods based on Duan's topological current p-mapping theory viz analysis of temperature and the generalized Helmholtz free energy methods to study the topological classes of our black hole.Considering this black hole,we discuss the critical and zero points(topological charges and topological numbers)for different parameters.Our findings reveal that the Kiselev parameter o and f(R,T)gravity parameter y influence the number of topological charges of black holes,providing novel insights into topological classifications.We observe that for given values of the free parameters,total topological charges(Q_(total)=-1)exist for the T method and total topological numbers(ω=+1)for the generalized Helmholtz free energy method.Our research findings elucidate that,in contrast to the scenario in whichω=1/3,in other cases,increasing y increases the number of total topological charges for the black hole.Interestingly,for the phantom field(ω=-4/3),we observe that decreasingγincreases the number of topological charges.Additionally,we study the results for the photon sphere.The studied models reveal that the simultaneous presence ofγandωeffectively expands the permissible range forγ.In other words,the model can exhibit black hole behavior over a larger domain.Additionally,we observe that with the stepwise reduction ofγ,the region covered by singularity diminishes and becomes more restricted.However,an interesting point about all three ranges is the elimination of the forbidden region in this model.In other words,this model and the investigated areas appear to have no region in which both theφand metric functions simultaneously lack solutions.Additionally,we fully check the curvatures singularities and energy conditions for the mentioned black hole.

关 键 词：topological classification Kiselev-Ads black holes f(R T)gravity energy conditions 

分 类 号：O18[理学—数学]