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General Relativistic Space-Time with η 1 -Einstein Metrics

Author

Listed:
  • Yanlin Li

    (School of Mathematics, Hangzhou Normal University, Hangzhou 311121, China)

  • Fatemah Mofarreh

    (Mathematical Science Department, Faculty of Science, Princess Nourah bint Abdulrahman University, Riyadh 11546, Saudi Arabia)

  • Santu Dey

    (Department of Mathematics, Bidhan Chandra College, Asansol 713304, India)

  • Soumendu Roy

    (Department of Science & Humanities, MLR Institute of Technology, Hyderabad 500043, India)

  • Akram Ali

    (Department of Mathematics, College of Science, King Khalid University, Abha 61421, Saudi Arabia)

Abstract

The present research paper consists of the study of an η 1 -Einstein soliton in general relativistic space-time with a torse-forming potential vector field. Besides this, we try to evaluate the characterization of the metrics when the space-time with a semi-symmetric energy-momentum tensor admits an η 1 -Einstein soliton, whose potential vector field is torse-forming. In adition, certain curvature conditions on the space-time that admit an η 1 -Einstein soliton are explored and build up the importance of the Laplace equation on the space-time in terms of η 1 -Einstein soliton. Lastly, we have given some physical accomplishment with the connection of dust fluid, dark fluid and radiation era in general relativistic space-time admitting an η 1 -Einstein soliton.

Suggested Citation

  • Yanlin Li & Fatemah Mofarreh & Santu Dey & Soumendu Roy & Akram Ali, 2022. "General Relativistic Space-Time with η 1 -Einstein Metrics," Mathematics, MDPI, vol. 10(14), pages 1-11, July.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:14:p:2530-:d:867602
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