Weyl and papapetrou axisymmetric space-times as geodesics of the hyperbolic complex plane
Il Nuovo Cimento B(2007)
摘要
Summary The problem of axisymmetric solutions of the Einstein equations depending on a single real function is re-examined. The solutions
are geometrically represented as geodesics, of the hyperbolic plane. Here intuitive geometry can be applied to show that the
gravitational fields found by Papapetrou are generalizations of the Weyl ones, under the action of the isometry group of the
hyperbolic plane itself.
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关键词
hyperbolic plane,space time,field theory
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