Rotation in the Geometric Scalar Theory of Gravity

TL;DR

This paper explores rotational solutions in Geometric Scalar Gravity, showing that closed time-like curves are confined to finite regions, and compares these properties with analogous solutions in General Relativity.

Contribution

It introduces rotational solutions in GSG and demonstrates that closed time-like curves are limited to compact regions, contrasting with GR solutions.

Findings

Closed time-like curves are confined to compact regions in GSG.

Comparison shows differences in causal structures between GSG and GR.

GSG solutions exhibit unique properties regarding spacetime causality.

Abstract

We present solutions corresponding to rotational configurations in the recently proposed Geometric Scalar Gravity (GSG) theory. The solutions obtained here have the important property that the associated closed time-like curves are always restricted to a compact domain of space-time. We compare this property with those of analogous solutions in General Relativity (GR).