KILLING VECTOR FIELDS OF A 4-SPACE ON ＄R_{+}^{4}＄
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概要
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We studied the Kiling fields of a spacetime with pseudo Metric: ＄ds^{2}=￥frac{1}{x_{4}x_{4}}￥{￥sum_{b,c=1}^{3}(￥delta_{bc}-￥frac{ax_{b}x_{C}}{1+ar^{2}})dx_{b}dx_{C}-￥frac{1}{1+ax_{4}x_{4}}dx_{4}dx_{4}￥}＄ , on ＄R^{4}+=R^{3}￥times R+＄ , where ＄r^{2}=￥sum_{b=1}^{3}x_{a}x_{b},＄ ＄a=constant>0＄ in [13]. In this paper, we shall investigate the analogous problems for the case ＄a<0＄, for which the above metric has singularity where ＄1+ar^{2}=0＄ or ＄1+ax_{4}x_{4}=0＄ .
- Yokohama City University and Yokohama National Universityの論文
- 2001-00-00
Yokohama City University and Yokohama National University | 論文
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