中国物理B ›› 2017, Vol. 26 ›› Issue (9): 90202-090202.doi: 10.1088/1674-1056/26/9/090202

• GENERAL • 上一篇    下一篇

Geometry and thermodynamics of smeared Reissner-Nordström black holes in d-dimensional AdS spacetime

Bo-Bing Ye(叶伯兵), Ju-Hua Chen(陈菊华), Yong-Jiu Wang(王永久)   

  1. College of Physics and Information Science, Hunan Normal University, Changsha 410081, China
  • 收稿日期:2017-03-14 修回日期:2017-05-15 出版日期:2017-09-05 发布日期:2017-09-05
  • 通讯作者: Ju-Hua Chen E-mail:jhchen@hunnu.edu.cn

Geometry and thermodynamics of smeared Reissner-Nordström black holes in d-dimensional AdS spacetime

Bo-Bing Ye(叶伯兵), Ju-Hua Chen(陈菊华), Yong-Jiu Wang(王永久)   

  1. College of Physics and Information Science, Hunan Normal University, Changsha 410081, China
  • Received:2017-03-14 Revised:2017-05-15 Online:2017-09-05 Published:2017-09-05
  • Contact: Ju-Hua Chen E-mail:jhchen@hunnu.edu.cn

摘要:

We construct a family of d-dimensional Reissner-Nordström-AdS black holes inspired by noncommutative geometry. The density distribution of the gravitational source is determined by the dimension of space, the minimum length of spacetime l, and other parameters (e.g., n relating to the central matter density). The curvature of the center and some thermodynamic properties of these black holes are investigated. We find that the center of the source is nonsingular for n≥ 0 (under certain conditions it is also nonsingular for -2 ≤ n < 0), and the properties at the event horizon, including the Hawking temperature, entropy, and heat capacity, are regular for n >-2. Due to the presence of l, there is an exponentially small correction to the usual entropy.

关键词: noncommutative geometry, physics of black holes, thermodynamics

Abstract:

We construct a family of d-dimensional Reissner-Nordström-AdS black holes inspired by noncommutative geometry. The density distribution of the gravitational source is determined by the dimension of space, the minimum length of spacetime l, and other parameters (e.g., n relating to the central matter density). The curvature of the center and some thermodynamic properties of these black holes are investigated. We find that the center of the source is nonsingular for n≥ 0 (under certain conditions it is also nonsingular for -2 ≤ n < 0), and the properties at the event horizon, including the Hawking temperature, entropy, and heat capacity, are regular for n >-2. Due to the presence of l, there is an exponentially small correction to the usual entropy.

Key words: noncommutative geometry, physics of black holes, thermodynamics

中图分类号:  (Noncommutative geometry)

  • 02.40.Gh
04.70.-s (Physics of black holes) 04.70.Dy (Quantum aspects of black holes, evaporation, thermodynamics)