https://neckpinch.com/authors/sinem-guler/New arXiv papers by Sinem Güler, from Neckpinch Tue, 03 Nov 2026 08:37:45 GMT https://neckpinch.com/papers/2406.16108/arxiv:2406.16108Sun, 23 Jun 2024 00:00:00 GMTUday Chand De, Krishnendu De, Sinem Güler — In this article, we characterize a Lorentzian manifold 𝓜 with a semi-symmetric metric connection. At first, we consider a semi-symmetric metric connection whose curvature tensor vanishes and establish that if the associated vector field is a unit time-like torse-forming vector field, then 𝓜 becomes a perfect fluid spacetime. Moreover, we prove that if 𝓜 admits a semi-symmetric metric connection whose Ricci tensor is symmetric and torsion tensor is recurrent, then 𝓜 represents a generalized Robertson-Walker spacetime. Also, we show that if the associated vector field of a semi-symmetric metric connection whose curvature tensor vanishes is a f- Ric vector field, then the manifold is Einstein and if the associated vector field is a torqued vector field, then the manifold becomes a perfect fluid spacetime. Finally, we apply this connection to investigate Ricci solitons.Ricci solitonsPhysics