Pseudo-Projective Tensor on Sequential Warped Products
Sinem G\"uler, B\"ulent \"Unal
TL;DR
This paper investigates the properties of pseudo-projective tensors on sequential warped products, providing conditions for flatness and characterizations of specific spacetime models in differential geometry.
Contribution
It introduces necessary and sufficient conditions for pseudo-projectively flat sequential warped products and characterizes related spacetime models.
Findings
Derived conditions for pseudo-projectively flat sequential warped products
Characterized pseudo-projectively flat sequential generalized Robertson-Walker spacetimes
Characterized pseudo-projectively flat sequential standard static spacetimes
Abstract
The main objective of this paper is to study pseudo-projective tensor on sequential warped products and then to obtain necessary and sufficient conditions for a sequential warped product to be pseudo-projectively flat. Moreover, we also provide characterization of pseudo-projectively flat sequential generalized Robertson-Walker and pseudo-projectively flat sequential standard static spacetimes.S
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