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.

14 pages, accepted for publication in IJMPA

References in corpus (14)

• Dynamics of dark energy
• Conditions for the cosmological viability of f(R) dark energy models
• Energy conditions in f(R)-gravity
• Matter instability in modified gravity
• A Singularity Problem with f(R) Dark Energy
• Fourth order gravity: equations, history, and applications to cosmology
• 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
• The Gödel solution in the modified gravity
• Gödel-type solutions within the f(R,Q) gravity
• 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 (1)

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