中国物理B ›› 2001, Vol. 10 ›› Issue (3): 234-239.doi: 10.1088/1009-1963/10/3/312

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QUASILOCAL ENERGY FOR STATIONARY AXISYMMETRIC EMDA BLACK HOLE

王世良1, 荆继良2   

  1. (1)Physics Department and Institute of Physics, Hunan Normal University, Changsha 410081, China; (2)Physics Department and Institute of Physics, Hunan Normal University, Changsha 410081, China; Department of Astronomy and Applied Physics, University of Science and Technology of China, Hefei 230026, China
  • 收稿日期:2000-08-19 出版日期:2001-03-15 发布日期:2005-06-12

QUASILOCAL ENERGY FOR STATIONARY AXISYMMETRIC EMDA BLACK HOLE

Wang Shi-liang (王世良)a, Jing Ji-liang (荆继良)ab   

  1. a Physics Department and Institute of Physics, Hunan Normal University, Changsha 410081, China; b Department of Astronomy and Applied Physics, University of Science and Technology of China, Hefei 230026, China
  • Received:2000-08-19 Online:2001-03-15 Published:2005-06-12

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摘要： By using Brown-York quasilocal energy theory we calculate the quasilocal energy of a stationary axisymmetic EMDA black hole and explore the universality of Martinez's conjecture in string theory. We show that the energy is positive and monotonically decreases to the ADM mass at spatial infinity, and the Martinez's conjecture, the Brown-York quasilocal energy at the outer horizon reduces to twice its irreducible mass, is still valid for stationary axisymmetric EMDA black hole. From the result we also find that the Kerr-Sen spacetime keeps up with Martinez's conjecture. This is different from the Bose-Naing result that the quasilocal energy of the Kerr-Sen spacetime does not approach the Martinez's conjecture.

Abstract: By using Brown-York quasilocal energy theory we calculate the quasilocal energy of a stationary axisymmetic EMDA black hole and explore the universality of Martinez's conjecture in string theory. We show that the energy is positive and monotonically decreases to the ADM mass at spatial infinity, and the Martinez's conjecture, the Brown-York quasilocal energy at the outer horizon reduces to twice its irreducible mass, is still valid for stationary axisymmetric EMDA black hole. From the result we also find that the Kerr-Sen spacetime keeps up with Martinez's conjecture. This is different from the Bose-Naing result that the quasilocal energy of the Kerr-Sen spacetime does not approach the Martinez's conjecture.

Key words: black hole, energy, general relativity

中图分类号:  (Quantum aspects of black holes, evaporation, thermodynamics)

  • 04.70.Dy
97.60.Lf (Black holes) 11.27.+d (Extended classical solutions; cosmic strings, domain walls, texture) 04.20.Gz (Spacetime topology, causal structure, spinor structure) 95.30.Sf (Relativity and gravitation) 04.40.Nr (Einstein-Maxwell spacetimes, spacetimes with fluids, radiation or classical fields)