Goedel type solution in teleparallel gravity
Yu.N. Obukhov, T. Vargas
TL;DR
This paper derives a G"odel-type stationary cosmological solution within teleparallel gravity, showing how specific parameter choices reproduce causality-violating solutions similar to those in general relativity, and clarifies the role of torsion and vorticity.
Contribution
It presents a G"odel-type solution in teleparallel gravity that reproduces known causality-violating solutions and clarifies the torsion-vorticity relationship.
Findings
Reproduces G"odel solution in teleparallel gravity with specific parameters
Establishes the link between axial-vector torsion and cosmic vorticity
Demonstrates teleparallel equivalent of G"odel solution
Abstract
The stationary cosmological model without closed timelike curves of G\"odel type is obtained for the ideal dust matter source within the framework of the teleparallel gravity. For a specific choice of the teleparallel gravity parameters, this solution reproduces the causality violating stationary G\"odel solution in general relativity, in accordance with the teleparallel equivalent of general relativity. The relation between the axial-vector torsion and the cosmic vorticity is clarified.
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