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Periodic Trajectories for the Lorentz-Metric of a Static Gravitational Field

  • Vieri Benci
  • Donato Fortunato
Part of the Progress in Nonlinear Differential Equations and Their Applications book series (PNLDE, volume 4)

Abstract

In General Relativity a gravitational field is described by a symmetric, second order tensor
$$ g \equiv g(z)\left[ {.,.} \right]z = ({z_0},...,{z_3})\varepsilon {^4} $$
on the space-time manifold R 4The tensor g is assumed to have the signature +, −, −, −; namely for all zR 4 the bilinear form g(z)[.,.] possesses one positive and three negative eigenvalues. The “pseudo-metric” induced by g is called Lorentz-metric.

Keywords

Gravitational Field Critical Point Theory Periodic Trajectory Finite Dimensional Approximation Satisfy Assumption 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1990

Authors and Affiliations

  • Vieri Benci
    • 1
  • Donato Fortunato
    • 2
  1. 1.Istituto di MatematicheApplicate — UniversitàPisaItaly
  2. 2.Dipartimento di MatematicaUniversitàBariItaly

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