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Prog. Theor. Phys. Vol. 93 No. 6 (1995) pp. 1021-1035

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Equilibrium Condition of Dilaton Black Holes with Electric Charge

Takahiro Azuma and Takao Koikawa*

Dokkyo University, Soka 340
*School of Social Information Studies, Otsuma Women's University, Tama 206

(Received March 20, 1995)

Abstract:

We solve the dilaton Maxwell-Einstein equations in a static and axisymmetric space-time. We show that the equations reduce to two sets of vacuum Einstein equations and then give an infinite number of exact solutions. The solutions show the dilaton black holes aligned along the z-axis. We study conditions that show there should be no conical singularity between two dilaton black holes and its physical consequence that the dilaton black holes cannot be in the static equilibrium.


URL : http://ptp.ipap.jp/link?PTP/93/1021/
DOI : 10.1143/PTP.93.1021

[ Full Text PDF : FREE ACCESS (618K) ] Citation:


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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 114 No. 4 (2005) pp. 793-803 :
    Infinite Number of Soliton Solutions to 5-Dimensional Vacuum Einstein Equation
    Takao Koikawa
  2. Progress of Theoretical Physics Vol. 121 No. 3 (2009) pp. 627-646 :
    An Infinite Number of Static Soliton Solutions to the 5D Einstein-Maxwell Equations with a Dilaton Field
    Takahiro Azuma and Takao Koikawa