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Abstract <p>New one parameter family of exact solutions in general relativity with a scalar field has been found and analysed. It is assumed that space-time metric has the Liouville form, that is conformally flat, where conformal factor is the sum of four functions on single coordinates. The scalar field has exponential potential. Analysis of geodesics shows, that solutions are global. Depending on the value of the parameter, the respective metric describes, in particular, the evolution of the space-time with the naked singularity. The solution corresponding to the naked singularity provides smooth extension of the Friedmann universe with accelerated expansion through the zero of the scale factor back in time along geodesics.</p>

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Was There a Big Bang for the Universe with Accelerated Expansion?

  • 期刊论文

  • 发表日期：

    2025年12月1日

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  • D. E. Afanasev,
  • M. O. Katanaev

摘要

Abstract

New one parameter family of exact solutions in general relativity with a scalar field has been found and analysed. It is assumed that space-time metric has the Liouville form, that is conformally flat, where conformal factor is the sum of four functions on single coordinates. The scalar field has exponential potential. Analysis of geodesics shows, that solutions are global. Depending on the value of the parameter, the respective metric describes, in particular, the evolution of the space-time with the naked singularity. The solution corresponding to the naked singularity provides smooth extension of the Friedmann universe with accelerated expansion through the zero of the scale factor back in time along geodesics.