G\"odel and G\"odel-type universes in Brans-Dicke theory
J. A. Agudelo, J. R. Nascimento, A. Yu. Petrov, P. J. Porf\'irio, A., F. Santos
TL;DR
This paper investigates G"odel and G"odel-type solutions within Brans-Dicke scalar-tensor theory, analyzing their conditions, causality violations, and the influence of cosmological constant and Mach principle on their consistency.
Contribution
It provides a detailed analysis of G"odel solutions in Brans-Dicke theory, highlighting conditions for their existence and the role of cosmological factors.
Findings
Conditions for G"odel solutions in Brans-Dicke theory identified
Causality violations and closed time-like curves analyzed
Impact of cosmological constant and Mach principle on model consistency studied
Abstract
In this paper, conditions for existence of G\"{o}del and G\"{o}del-type solutions in Brans-Dicke (BD) scalar-tensor theory and their main features are studied. The consistency of equations of motion, causality violation and existence of CTCs (closed time-like curves) are investigated. The role which cosmological constant and Mach principle play to achieve the consistency of this model is studied.
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