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Prog. Theor. Phys. Vol. 95 No. 1 (1996) pp. 65-70

[ Full Text PDF : FREE ACCESS (160K) ]

Generalization of Tomimatsu-Sato Solutions. I

Shoichi Hori

Kodatsuno 1-12-26, Kanazawa 920

(Received September 14, 1995)

Abstract:

We find functions which are defined for any real value of the deformation parameter δ and coincide with generalized Tomimatsu-Sato solutions for integral δ. It is not proved whether the functions satisfy the Ernst equation or not.


URL : http://ptp.ipap.jp/link?PTP/95/65/
DOI : 10.1143/PTP.95.65

[ Full Text PDF : FREE ACCESS (160K) ] Citation:

References:

  1. F. J. Ernst, Phys. Rev. 167 (1968), 1175[APS].
  2. A. Tomimatsu and H. Sato, Prog. Theor. Phys. 50 (1975), 95[PTP].
  3. M. Yamazaki, J. Math. Phys. 18 (1977), 2502[CrossRef].
  4. S. Hori, Prog. Theor. Phys. 59 (1978), 1870[PTP].
  5. C. Carathéodory, Funktionentheorie II, Basel (1950).

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 95 No. 3 (1996) pp. 557-564 :
    Generalization of Tomimatsu-Sato Solutions. II
    Shoichi Hori
  2. Progress of Theoretical Physics Vol. 95 No. 6 (1996) pp. 1097-1120 :
    Generalization of Tomimatsu-Sato Solutions. III
    Shoichi Hori
  3. Progress of Theoretical Physics Vol. 96 No. 2 (1996) pp. 327-345 :
    Generalization of Tomimatsu-Sato Solutions. IV
    Shoichi Hori
  4. Progress of Theoretical Physics Vol. 99 No. 5 (1998) pp. 783-799 :
    Solution with Real Value of Deformation Parameter for Ernst Equation in Gravitational Field Caused by Rotating Source
    Osamu Tanimura and Shoichi Hori
  5. Progress of Theoretical Physics Vol. 100 No. 3 (1998) pp. 523-533 :
    Solution of the Ernst Equation for a Real Value
    of the Deformation Parameter
    Osamu Tanimura
  6. Progress of Theoretical Physics Vol. 101 No. 2 (1999) pp. 329-344 :
    A Solution of the Einstein Equation in a Stationary Gravitational Field Due to a Rotating Source
    Osamu Tanimura and Shoichi Hori
  7. Progress of Theoretical Physics Vol. 102 No. 6 (1999) pp. 1103-1117 :
    Complete Solution of the Ernst Equation in a Stationary and Axially Symmetric Gravitational Field Due to a Rotating Source
    Osamu Tanimura and Shoichi Hori

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