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Prog. Theor. Phys. Vol. 99 No. 5 (1998) pp. 783-799

[ Full Text PDF : FREE ACCESS (683K) ]

Solution with Real Value of Deformation Parameter for Ernst Equation in Gravitational Field Caused by Rotating Source

Osamu Tanimura and Shoichi Hori*,*)

Faculty of General Education, Kanazawa University
Kanazawa 920-11, Japan
*Kodatsuno 1-12-26, Kanazawa 920, Japan

(Received January 26, 1998)

Abstract:

Starting with the Weyl solution that is known to be valid for any real value of the deformation parameter δ, the solution of the Ernst equation in an axially symmetric gravitational field caused by a rotating source is given in a perturbative expansion of the variables λ(=q2/p2) and b(=y2-1) for a real value of δ. The proof of the validity of the solution is given to first order in ƒÉ and all orders in b.


URL : http://ptp.ipap.jp/link?PTP/99/783/
DOI : 10.1143/PTP.99.783


*)Professor emeritus of Kanazawa University.

[ Full Text PDF : FREE ACCESS (683K) ] Citation:

References:

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Citing Article(s) :

  1. 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
  2. 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
  3. 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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