Multiply Warped Products with a Quarter-symmetric Connection
Quan Qu, Yong Wang
TL;DR
This paper investigates the geometric properties of multiply warped products equipped with a quarter-symmetric connection, focusing on Einstein conditions, constant scalar curvature, and applications to specific spacetime models.
Contribution
It introduces new results on warped and multiply warped products with quarter-symmetric connections, including Einstein and constant scalar curvature cases, with applications to cosmological spacetimes.
Findings
Characterization of Einstein warped products with quarter-symmetric connections
Conditions for constant scalar curvature in multiply warped products
Applications to generalized Robertson-Walker and Kasner spacetimes
Abstract
In this paper, we study the Einstein warped products and multiply warped products with a quarter-symmetric connection. We also study warped products and multiply warped products with a quarter-symmetric connection with constant scalar curvature. Then apply our results to generalized Robertson-Walker spacetimes with a quarter-symmetric connection and generalized Kasner space-times with a quarter-symmetric connection.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Advanced Differential Geometry Research · Black Holes and Theoretical Physics