Weyl and Papapetrou axisymmetric space-times as geodesics of the hyperbolic complex plane

Details Weyl and Papapetrou axisymmetric space-times as geodesics of the hyperbolic complex plane Weyl and Papapetrou axisymmetric space-times as geodesics of the hyperbolic complex plane

Mar 1979

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979ncimb..50....1b&link_type=abstract

Nuovo Cimento, Sezione B, vol. 50B, Mar. 11, 1979, p. 1-6.

Mathematics

Complex Variables

1

Celestial Geodesy, Einstein Equations, Gravitation Theory, Hyperbolic Coordinates, Space-Time Functions, Complex Variables, Field Theory (Physics), Relativistic Theory, Symmetry

Scientific paper

Axisymmetric solutions of the Einstein equations depending on a single real function are reformulated and generalized in terms of intuitive geometry on a complex hyperbolic plane. The axisymmetric solutions are first represented as geodesics of the hyperbolic plane. It may then be shown, through arguments based on intuitive geometry, that the gravitational fields identified by Papapetrou are generalizations of the solutions given by Weyl.

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