Harmonic metrics on Gödel-type spacetimes

Abstract

Metrics which are harmonic with respect to Gödel-type metrics, as well as harmonicity of lifted metrics to the tangent bundle are studied.

Generalized Kantowski-Sachs type spacetime metrics and their harmonicity

“…On the other hand, Oniciuc investigated the harmonicity of two well-known metrics, namely, the Sasaki and the Cheeger-Gromoll metrics, with respect to each other on tangent and unit tangent bundles [5]. In [8], Zaeim and his collaborators also considered Gödel-type spacetime metrics in order to designate harmonic metrics with respect to them and studied harmonic Gödel-type spacetime metrics lifted to the tangent bundle.…”