Generalized Kantowski-Sachs type spacetime metrics and their harmonicity
Murat Altunba\c{s}
TL;DR
This paper investigates the harmonicity of generalized Kantowski-Sachs spacetime metrics and their lifts to tangent bundles, expanding understanding of their geometric properties in theoretical physics.
Contribution
It introduces the harmonicity analysis of generalized Kantowski-Sachs metrics and explores their lifts, a novel approach in spacetime geometry studies.
Findings
Harmonicity conditions for generalized Kantowski-Sachs metrics established
Lifts of these metrics to tangent bundles are also harmonic under certain conditions
Provides new insights into the geometric structure of these spacetime models
Abstract
In this paper, we deal with harmonic metrics with respect to generalized Kantowski-Sachs type spacetime metrics. We also consider the Sasaki, horizontal and complete lifts of generalized Kantowski-Sachs type spacetime metrics to tangent bundle and study their harmonicity.
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Taxonomy
TopicsAdvanced Differential Geometry Research · Geometric Analysis and Curvature Flows · Dermatological and Skeletal Disorders