Induced rotation from de Sitter-Godel-de Sitter phase transition

TL;DR

This paper investigates how phase transitions in scalar fields within de Sitter and G"odel backgrounds can induce local rotation in cosmic objects, with simulations showing the global rotation remains observationally negligible.

Contribution

It presents a novel model linking phase transitions to cosmic rotation, analyzing local and global effects through theoretical and computational methods.

Findings

Local induced rotation is nonzero during phase transitions.

Global rotation remains below observational limits.

Simulation confirms the theoretical predictions.

Abstract

Therotationofthecosmicobjectsisauniversalphenomenonanditsoriginisstillanopenquestion.Here a model for the origin of rotation is presented. After an investigation of the phase transition of a scalar field in de Sitter and G\"odel backgrounds, the motion of a test particle during the phase transitions is studied. Then using computer simulation for a congruence of particles, we show that although the local induced rotation is nonzero, the global rotation is below the observational limit.