https://doi.org/10.1140/epjp/s13360-025-06583-8
Regular Article
Impact of pseudo-projective curvature tensor on sequential doubly warped product manifolds with physical applications
1
Department of Mathematics, Faculty of Science, Tanta University, Tanta, Egypt
2
Department of Pure Mathematics, University of Calcutta, 35 Ballygaunge Circular Road, 700019, Kolkata, West Bengal, India
a
ayman_ramadan@science.tanta.edu.eg
Received:
13
May
2025
Accepted:
18
June
2025
Published online:
15
July
2025
This paper investigates the geometric and physical properties of the pseudo-projective curvature tensor in the context of Sequential Doubly Warped Product Manifolds (SDWPM). We derive comprehensive expressions for this tensor’s components and establish precise necessary and sufficient conditions under which a SDWPM becomes pseudo-projectively flat. The analysis extends to special cases involving Einstein manifolds and constant scalar curvature, where we obtain explicit relationships between warping functions. Our findings significantly extend previous results on warped product manifolds, providing new geometric insights with applications to theoretical physics. The physical applications section explores implications for cosmological models, black hole physics, modified gravity theories, and multidimensional spacetimes. We further establish connections between pseudo-projective geometric properties and observable phenomena in cosmology and astrophysics, offering potential experimental tests for the theoretical framework.
© The Author(s) 2025
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