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Exact solutions for the massless plane symmetric scalar field in general relativity, with cosmological constant

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Abstract

The Klein–Gordon equations are solved for the case of a plane-symmetric static massless scalar field in general relativity with cosmological constant, generalizing the solutions found by Taub, Novotny and Horsky, and Singh. A separate class of solutions is obtained in which the metrics reduce to flat space in the limit that \(\Lambda \rightarrow 0\).The static solutions can be used to generate time-dependent cosmological solutions, one of which exhibits rapid inflation followed by continued exponential expansion at all later times.

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Authors and Affiliations

  1. Department of Physical Sciences, Embry-Riddle Aeronautical University, Daytona Beach, FL, 32114, USA

    Chris Vuille

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  1. Chris Vuille
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Correspondence to Chris Vuille.

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Vuille, C. Exact solutions for the massless plane symmetric scalar field in general relativity, with cosmological constant. Gen Relativ Gravit 39, 621–632 (2007). https://doi.org/10.1007/s10714-007-0411-9

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  • DOI: https://doi.org/10.1007/s10714-007-0411-9

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