Gödel and Gödel-type universes in Brans-Dicke theory

Abstract

In this paper, conditions for existence of Gödel and Gödel-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.

15 pages, published version

References in corpus (6)

• Gödel-type universes in f(R) gravity
• The Gödel solution in the modified gravity
• Visualization of the Gödel universe
• f(R) Gravities à la Brans-Dicke
• On Gödel-type Solution in Rastall's Gravity
• Stability of Closed Timelike Geodesics

Cited by in corpus (27)

• Quasinormal modes of Schwarzschild black holes in projective invariant Chern-Simons modified gravity
• Fermions in Gödel-type background space-times with torsion and the Landau quantization
• Gödel-type universes in bumblebee gravity
• The generalized Klein-Gordon oscillator with position-dependent mass in a particular Gödel-type space-time
• Weyl fermions in a family of Gödel-type geometries with a topological defect
• Violation of causality in $f(T)$ gravity
• Gödel-type solutions within the f(R,Q) gravity
• Homogeneous Gödel-type solutions in hybrid metric-Palatini gravity
• Induced gravitational topological term and the Einstein-Cartan modified theory
• Simulation of geodesic trajectory of charged BTZ black holes in massive gravity
• First-order perturbations of Gödel-type metrics in non-dynamical Chern-Simons modified gravity
• Godel Universe from String Theory
• Godel Metrics with Chronology Protection in Horndeski Gravities
• On the causality properties in non-local gravity theories
• Gravitational waves in Brans-Dicke Theory with a cosmological constant
• Generalized Gödel universes in higher dimensions and pure Lovelock gravity
• Gödel-type solutions within the $f(R,Q,P)$ gravity
• Slow-rotating black holes with potential in dynamical Chern-Simons modified gravitational theory
• Gödel and Gödel-type solutions in the Palatini $f(R,T)$ gravity theory
• Einstein-aether theory: Dynamics of relativistic particles with spin or polarization in a Gödel-type universe
• Gödel-type Solutions in Cubic Galileon Gravity
• Gödel-type solutions in $f(R,T,R_{\mu \nu }{T}^{\mu \nu }$) gravity
• A study on causality in $f(R,\varphi ,X)$ theory
• Slow Kerr-NUT black hole solution in dynamical Chern-Simons modified gravity
• Weyl Fermions in a Linear Class of Gödel-Type Space-Time Backgrounds
• Gödel-type solutions in hybrid metric-Palatini gravity
• Generalized Chern-Pontryagin models