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Prog. Theor. Phys. Vol. 114 No. 4 (2005) pp. 793-803

[ Full Text PDF : FREE ACCESS (119K) ]

Infinite Number of Soliton Solutions to 5-Dimensional Vacuum Einstein Equation

Takao Koikawa*

The Niels Bohr Institute, Blegdamsvej 17, 2100 Copenhagen, Denmark

(Received January 31, 2005)

Abstract:

We obtain an infinite number of exact solutions to the 5-dimensional static Einstein equation with axial symmetry using the inverse scattering method. The solutions are characterized by two integers representing the soliton numbers. The first non-trivial example of these solutions is the static black ring solution found recently.


URL : http://ptp.ipap.jp/link?PTP/114/793/
DOI : 10.1143/PTP.114.793


*E-mail: koikawa@nbilx02.nbi.dk
On leave of absence from Otsuma Women's University.

[ Full Text PDF : FREE ACCESS (119K) ] Citation:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 116 No. 2 (2006) pp. 319-328 :
    An Infinite Number of Stationary Soliton Solutions to the Five-Dimensional Vacuum Einstein Equation
    Takahiro Azuma and Takao Koikawa
  2. Progress of Theoretical Physics Vol. 118 No. 1 (2007) pp. 35-46 :
    An Infinite Number of Static Soliton Solutions to the 5D Einstein-Maxwell Equations
    Takahiro Azuma and Takao Koikawa
  3. 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

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