General Relativistic Space-Time with η 1 -Einstein Metrics

Yanlin Li, Fatemah Mofarreh, Santu Dey, Soumendu Roy and Akram Ali
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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

Mathematics, 2022, vol. 10, issue 14, 1-11

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.

Keywords: general relativistic space-time; torse-forming vector fields; ? 1 -Einstein soliton; Einstein’s field equation; dust fluid; dark fluid; radiation era; Laplacian equation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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