HOME    |    BROWSE    |    SEARCH    |    SUBSCRIPTION   |    SUBMISSION    |    REGISTRATION

Quick Search:
Author: Title/Abstract: Vol./No: Page:
PTP Online Top > Volume 86 (1991) > Number 4
| Next Article >

Prog. Theor. Phys. Vol. 86 No. 4 (1991) pp. 833-840

[ Full Text PDF : FREE ACCESS (366K) ]

The Singularity Structure of a Soliton Solution to the Higher-Dimensional Einstein Equations

Takahiro Azuma, Makoto Endo* and Takao Koikawa**

Department of Mathematics, King's College London, The Strand, London WC2R 2LS
*Faculty of Liberal Arts, Dokkyo University, Soka 340
**Department of Physics, Tokyo Metropolitan University, Hachioji 192-03

(Received May 21, 1991)

Abstract:

We study a stationary and axisymmetric solution to the higher-dimensional Einstein equations and investigate its singularity structure. The solution consists of two solitons in the four-dimensional part (i.e., the Kerr solution) and n solitons in the extra dimensions. Naked singularities appear on the symmetry axis (z-axis) and/or at the event horizons of the Kerr solutions. In a certain choice of integration constants there are solutions with regular event horizons.


URL : http://ptp.ipap.jp/link?PTP/86/833/
DOI : 10.1143/PTP.86.833

[ Full Text PDF : FREE ACCESS (366K) ] Citation:

References:

  1. D. J. Gross and J. H. Sloan, Nucl. Phys. B291 (1987), 41.
  2. L. Sokolowski and B. Carr, Phys. Lett. B176 (1986), 334.
  3. M. Yoshimura, Phys. Rev. D34 (1986), 1021[APS].
  4. J. D. Beckenstein, Phys. Rev. D5 (1972), 1239[APS].
  5. C. Teitelboim, Phys. Rev. D5 (1972), 2941[APS].
  6. J. B. Hartle, Phys. Rev. D3 (1971), 2938[APS].
  7. S. W. Hawking, Commun. Math. Phys. 25 (1972), 167[CrossRef].
  8. P. Dobiasch and D. Maison, Gen. Rel. Grav. 14 (1982), 231.
  9. G. W. Gibbons and D. L. Wiltshire, Ann. of Phys. 167 (1986), 201[CrossRef].
  10. H. Yamazaki and I. Ichinose, Preprint TIT/HEP-159, UT-Komaba 90-14 (1990).
  11. V. Belinsky and R. Ruffini, Phys. Lett. B89 (1980), 195.
  12. P. Q. Mazur and L. Bombelli, J. Math. Phys. 28 (1987), 406[CrossRef].
  13. T. Koikawa and M. Yoshimura, Phys. Lett. B189 (1987), 29.
  14. G. W. Gibbons and K. Maeda, Nucl. Phys. B298 (1988), 741.
  15. T. Koikawa and K. Shiraishi, Prog. Theor. Phys. 80 (1988), 108[PTP].
  16. T. Azuma, M. Endo and T. Koikawa, Phys. Lett. A136 (1989), 269.

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

[PTP HOME] [BROWSE] [SEARCH] [SUBSCRIPTION] [SUBMISSION] [REGISTRATION]

Copyright © Progress of Theoretical Physics 2013 All rights reserved.