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<p>A twisted space-time is a natural generalization of a generalized Robertson-Walker space-time. This study aims to describe pseudo <i>Z</i>-symmetric twisted space-times. First, it is proved that a pseudo <i>Z</i>-symmetric twisted space-time represents a generalized Robertson-Walker space-time. Then we establish that a pseudo <i>Z</i>-symmetric twisted space-time is a perfect fluid space-time under a certain condition. Next, we determine the conditions under which the radiation era, dark energy era and dust matter fluid are represented by this space-time. Furthermore, we find the criteria for which a perfect fluid pseudo <i>Z</i>-symmetric space-time can be a twisted space-time. Finally, we give one physically relevant cosmological metric of twisted form that satisfies the pseudo <i>Z</i>-symmetric condition.</p>

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Characterizations of Pseudo Z-symmetric twisted space-times

  • 期刊论文

  • 发表日期：

    2026年1月2日

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  • Uday Chand De,
  • Krishnendu De,
  • Sameh Shenawy

摘要

A twisted space-time is a natural generalization of a generalized Robertson-Walker space-time. This study aims to describe pseudo Z-symmetric twisted space-times. First, it is proved that a pseudo Z-symmetric twisted space-time represents a generalized Robertson-Walker space-time. Then we establish that a pseudo Z-symmetric twisted space-time is a perfect fluid space-time under a certain condition. Next, we determine the conditions under which the radiation era, dark energy era and dust matter fluid are represented by this space-time. Furthermore, we find the criteria for which a perfect fluid pseudo Z-symmetric space-time can be a twisted space-time. Finally, we give one physically relevant cosmological metric of twisted form that satisfies the pseudo Z-symmetric condition.