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Self-gravitating scalar field with cubic nonlinearity

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Abstract

For a self-gravitating massless conformally invariant scalar field a solution is obtained to the Einstein equations for which the geometry of space-time remains arbitrary. For a scalar field with cubic nonlinearity, a static solution to the Einstein equations possessing plane symmetry is found. A cosmological model with nonlinear scalar field in the class of conformally flat Friedmann metrics is investigated. An example is given of an exact solution to the equations of the gravitational field with singularity in the infinite past.

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Literature cited

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Authors and Affiliations

  1. V. I. Ul'yanov-Lenin State University, Kazan

    G. G. Ivanov

Authors
  1. G. G. Ivanov
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 12, pp. 18–22, December, 1980.

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Ivanov, G.G. Self-gravitating scalar field with cubic nonlinearity. Soviet Physics Journal 23, 999–1002 (1980). https://doi.org/10.1007/BF00896441

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  • DOI: https://doi.org/10.1007/BF00896441

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