Gödel-type solutions within the $f(R,Q,P)$ gravity

Abstract

In this work, we scrutinize the consistency of spacetime homogeneous Gödel-type metrics within $f(R,Q,P)$ theories of gravity for well-motivated matter sources. As it is well known, such geometries allow for causality violation. We provide general conditions to engender completely causal solutions in a manner completely different from general relativity. We take some specific models, for instance, $f(R,Q,P)=R-\frac{{\mu }^{4n+2}}{{\left(a{R}^2+bQ+cP\right)}^n}$, to illustrate the general results. Notably, we also find an unusual completely causal vacuum solution in the presence of a non-trivial cosmological constant which corresponds to the case $m^2=4{\omega }^2$.

arXiv comment18 pages, matches published version

References in corpus (33)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• Observation of Gravitational Waves from a Binary Black Hole Merger
• Nine-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Parameter Results
• f(R) Theories Of Gravity
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Type Ia Supernova Discoveries at z>1 From the Hubble Space Telescope: Evidence for Past Deceleration and Constraints on Dark Energy Evolution
• GW151226: Observation of Gravitational Waves from a 22-Solar-Mass Binary Black Hole Coalescence
• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• The Cosmological Constant
• A Flat Universe from High-Resolution Maps of the Cosmic Microwave Background Radiation
• First Sagittarius A* Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole in the Center of the Milky Way
• The Cosmology of Generalized Modified Gravity Models
• Finite-time future singularities in modified Gauss-Bonnet and $\mathcal{F}(R,G)$ gravity and singularity avoidance
• First Estimations of Cosmological Parameters From BOOMERANG
• Living with Ghosts
• Cosmological inflation in $F(R,\mathcal{G})$ gravity
• LambdaCDM epoch reconstruction from F(R,G) and modified Gauss-Bonnet gravities
• On the stability of the cosmological solutions in f(R,G) gravity
• Density perturbations in general modified gravitational theories
• Massive, massless and ghost modes of gravitational waves from higher-order gravity
• Dynamics of Inflation and Dark Energy from $F(R,\mathcal{G})$ Gravity
• The Existence of Godel, Einstein and de Sitter Universes
• f(G) modified gravity and the energy conditions
• Gödel-type universes in f(R) gravity
• Observational constraints on Gauss-Bonnet cosmology
• Gödel and Gödel-type universes in Brans-Dicke theory
• Gödel-type universes in Palatini f(R) gravity
• Gödel-type universes and chronology protection in Horava-Lifshitz gravity
• Gödel-type Spacetimes in Induced Matter Gravity Theory
• Chern-Simons modified gravity and closed time-like curves
• On the causality aspects of the dynamical Chern-Simons modified gravity
• Gödel-type solutions within the f(R,Q) gravity

Cited by in corpus (2)

• Geometrical deformation of brane matter field within $f(R,Q,P)$ gravity
• Kink solutions in nonlocal scalar field theory models