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Applications of Calculus of Variations to General Relativity

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Recent Developments in General Relativity

Abstract

We present some global results on Lorentzian geometry obtained by using global variational methods. In particular some results on the geodesic connectedness of Lorentzian manifolds and on the multiplicity of lightlike geodesies joining a point with a timelike curve are presented. Such results allow to give a mathematical description of the gravitational lens effect.

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Authors
  1. A. Masiello
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Editors and Affiliations

  1. Dipartimento Interuniversitario di Matematica, Università di Bari, Bari, Italy

    B. Casciaro  & D. Fortunato  & 

  2. Dipartimento di Matematica, Università di Torino, Torino, Italy

    M. Francaviglia

  3. Dipartimento Interuniversitario, Politecnico di Bari, Bari, Italy

    A. Masiello

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Masiello, A. (2000). Applications of Calculus of Variations to General Relativity. In: Casciaro, B., Fortunato, D., Francaviglia, M., Masiello, A. (eds) Recent Developments in General Relativity. Springer, Milano. https://doi.org/10.1007/978-88-470-2113-6_14

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  • DOI: https://doi.org/10.1007/978-88-470-2113-6_14

  • Publisher Name: Springer, Milano

  • Print ISBN: 978-88-470-0068-1

  • Online ISBN: 978-88-470-2113-6

  • eBook Packages: Springer Book Archive

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