中国物理B ›› 2003, Vol. 12 ›› Issue (4): 371-376.doi: 10.1088/1009-1963/12/4/305

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Quantization of the space－time with topological defect

高长军1, 沈有根2   

  1. (1)Shanghai Astronomical Observatory, Chinese Academy of Sciences, Shanghai 200030, China; National Astronomical Observatories, Chinese Academy of Sciences, Beijing 100012, China; (2)Shanghai Astronomical Observatory, Chinese Academy of Sciences, Shanghai 200030, China; National Astronomical Observatories, Chinese Academy of Sciences, Beijing 100012, China; Institute of Theoretical physics, Chinese Academy of Sciences, Beijing 100080,
  • 收稿日期:2002-11-27 修回日期:2003-01-02 出版日期:2003-04-16 发布日期:2005-03-16
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos 10273017 and 10073006), and the Foundation of Shanghai Development for Science and Technology, China(Grant No 01-JC14035).

Quantization of the space－time with topological defect

Gao Chang-Jun (高长军)ab, Shen You-Gen (沈有根)abc   

  1. a Shanghai Astronomical Observatory, Chinese Academy of Sciences, Shanghai 200030, China; b National Astronomical Observatories, Chinese Academy of Sciences, Beijing 100012, Chinac Institute of Theoretical physics, Chinese Academy of Sciences, Beijing 100080, China
  • Received:2002-11-27 Revised:2003-01-02 Online:2003-04-16 Published:2005-03-16
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos 10273017 and 10073006), and the Foundation of Shanghai Development for Science and Technology, China(Grant No 01-JC14035).

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摘要： We present the classical solution of Lagrange equations for the black hole with a global monopole or with a cosmic string. Then we obtain the wavefunction of the space－time by solving the Wheeler－De Witt equation. De Broglie－Bohm interpretation applied to the wavefunction gives the quantum solution of the space－time. In the end, the quantum effect on Hawking radiation is studied.

Abstract: We present the classical solution of Lagrange equations for the black hole with a global monopole or with a cosmic string. Then we obtain the wavefunction of the space－time by solving the Wheeler－De Witt equation. De Broglie－Bohm interpretation applied to the wavefunction gives the quantum solution of the space－time. In the end, the quantum effect on Hawking radiation is studied.

Key words: monopole black hole, cosmic string black hole, quantization

中图分类号:  (Canonical quantization)

  • 04.60.Ds
04.70.Dy (Quantum aspects of black holes, evaporation, thermodynamics) 11.27.+d (Extended classical solutions; cosmic strings, domain walls, texture) 98.80.Cq (Particle-theory and field-theory models of the early Universe (including cosmic pancakes, cosmic strings, chaotic phenomena, inflationary universe, etc.)) 97.60.Lf (Black holes)