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Prog. Theor. Phys. Vol. 50 No. 1 (1973) pp. 95-110

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New Series of Exact Solutions for Gravitational Fields of Spinning Masses

Akira Tomimatsu and Humitaka Sato*

Department of Physics, Kyoto University, Kyoto
*Research Institute for Fundamental Physics, Kyoto University, Kyoto

(Received February 15, 1973)

Abstract:

New series of solutions for space-times which are regarded as representing the gravitational fields of spinning bound masses is derived from a series of Weyl metrics, following Ernst's formulation on axi-symmetric stationary fields. This series of solutions includes the Kerr metric as a member of the simplest one. Except in the case of the Kerr metric, the space-times have ring singularities outside event horizons, that is, there exist naked singularities. Therefore, these solutions seem to give a very different picture concerning the ultimate fate of gravitational collapse compared with a current picture such as the Israel-Carter conjecture.
The naked ring singularity may become an active energy source of gravitational wave, and yield many interesting phenomena in astrophysics.


URL : http://ptp.ipap.jp/link?PTP/50/95/
DOI : 10.1143/PTP.50.95

[ Full Text PDF (1114K) ]  [ Buy This Article ]  Citation:

References:

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Citing Article(s) :

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  21. Progress of Theoretical Physics Vol. 66 No. 4 (1981) pp. 1250-1265 :
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  23. Progress of Theoretical Physics Vol. 66 No. 6 (1981) pp. 2038-2051 :
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  24. Progress of Theoretical Physics Vol. 67 No. 1 (1982) pp. 349-352 :
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  25. Progress of Theoretical Physics Vol. 75 No. 4 (1986) pp. 828-835 :
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  26. Progress of Theoretical Physics Vol. 79 No. 6 (1988) pp. 1365-1377 :
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  27. Progress of Theoretical Physics Vol. 95 No. 1 (1996) pp. 65-70 :
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  28. Progress of Theoretical Physics Vol. 95 No. 3 (1996) pp. 557-564 :
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  29. Progress of Theoretical Physics Vol. 96 No. 2 (1996) pp. 327-345 :
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  30. Progress of Theoretical Physics Vol. 99 No. 5 (1998) pp. 783-799 :
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  31. Progress of Theoretical Physics Vol. 100 No. 3 (1998) pp. 523-533 :
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  32. Progress of Theoretical Physics Vol. 100 No. 3 (1998) pp. 671-673 :
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  33. Progress of Theoretical Physics Vol. 101 No. 2 (1999) pp. 329-344 :
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  34. Progress of Theoretical Physics Vol. 102 No. 6 (1999) pp. 1103-1117 :
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  35. Progress of Theoretical Physics Vol. 115 No. 3 (2006) pp. 487-522 :
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  37. Progress of Theoretical Physics Supplement No.70 (1981) pp. 215-237 :
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