Consistency Of Field Equations Research Articles

Gödel and Gödel-type universes in k-essence theory

In this paper, the Gödel-type solutions within the k-essence theory are investigated. The consistency of field equations, causality violation and existence of closed timelike curves are studied. The conditions for existence of Gödel and Gödel-type solutions are determined for any function that defines the k-essence. By taking different sources of matter, it is shown that this theory of gravity allows causal and non-causal Gödel-type solutions.

Consistency of field equations in ?Self-Creation? cosmologies

It is pointed out that the field equations in one of Barber's two “self-creation” cosmologies are not only in disagreement with experiment, but are actually inconsistent, in general. The construction of consistent general relativistic field equations involving field variables, such asϕ, without invoking Lagrangian techniques, requires careful checking that sufficient functional freedom has been provided so as to produce a consistent set of equations.