A study on causality in $f(R,\varphi ,X)$ theory

Abstract

The $k$-essence modified $f(R)$ gravity model, i.e., $f(R,\varphi ,X)$ theory is studied. The question of violation of causality, in the framework of Gödel-type universes, is investigated in this gravitational model. Causal and non-causal solutions are allowed. A critical radius for non-causal solution is calculated. It is shown that the violation of causality depends on the content of matter.

arXiv comment14 pages, accepted for publication in IJMPA

References in corpus (41)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• Dynamics of dark energy
• f(R) Theories Of Gravity
• k-Inflation
• Essentials of k-essence
• Kinetically Driven Quintessence
• Perturbations in k-inflation
• BVRI Light Curves for 22 Type Ia Supernovae
• Conditions for the cosmological viability of f(R) dark energy models
• 1/R gravity and Scalar-Tensor Gravity
• Extended tachyon field, Chaplygin gas and solvable k-essence cosmologies
• The pattern of growth in viable f(R) cosmologies
• Energy conditions in f(R)-gravity
• Phantom crossing, equation-of-state singularities, and local gravity constraints in f(R) models
• Matter instability in modified gravity
• A Singularity Problem with f(R) Dark Energy
• Fourth order gravity: equations, history, and applications to cosmology
• Cosmological perturbations in a generalized gravity including tachyonic condensation
• Power-law expansion in k-essence cosmology
• A bird's eye view of f(R)-gravity
• The nearly Newtonian regime in Non-Linear Theories of Gravity
• On the Newtonian Limit in Gravity Models with Inverse Powers of R
• Phantom k-essence cosmologies
• Unification of inflation and cosmic acceleration in the Palatini formalism
• Curvature scalar instability in f(R) gravity
• Gödel-type universes in f(R) gravity
• Cosmological Constraints from Hubble Parameter on f(R) Cosmologies
• $k$-essence $f(R)$ Gravity Inflation
• Strong Energy Condition in $R+R^2$ Gravity
• Gödel and Gödel-type universes in Brans-Dicke theory
• Dark matter to dark energy transition in k-essence cosmologies
• Gödel-type universes and chronology protection in Horava-Lifshitz gravity
• The Gödel solution in the modified gravity
• Violation of causality in $f(T)$ gravity
• Gödel-type solutions within the f(R,Q) gravity
• Dynamical Chern-Simons modified gravity, Godel Universe and variable cosmological constant
• Gravitoelectromagnetism in metric f(R) and Brans-Dicke theories with a potential
• Quantum cosmology with k-Essence theory
• Gödel and Gödel-type universes in K-essence theory
• Super-horizon effects on the gauge invariant effective energy density in f(R) gravity

Cited by in corpus (2)

• Gödel-type solutions in $f(R,T,R_{\mu \nu }{T}^{\mu \nu }$) gravity
• Gödel-type solutions in hybrid metric-Palatini gravity