On causality violation in Lyra Geometry

Abstract

In this paper the causality issues are discussed in a non-Riemannian geometry, called Lyra geometry. It is a non-Riemannian geometry originated from Weyl geometry. In order to compare this geometry with the Riemannian geometry, the Einstein field equations are considered. It is verified that the Gödel and Gödeltype metric are consistent with this non-Riemannian geometry. A non-trivial solution for Gödel universe in the absence of matter sources is determined without analogue in general relativity. Different sources are considered and then different conditions for causal and non-causal solutions are discussed.

Lyra cosmologies with the dynamical system perspective

“…The Godel solutions for the physically well motivated matter sources are consistent with the Lyra geometry model [41]. The causality violation may be avoided in this framework for perfect fluid and scalar field sources [41]. These different studies conducted on the cosmological and astrophysical issues motivates for the exploration of Lyra model by using qualitative techniques.…”

“…The applications of Herrera-cracking and causality techniques in the Lyra framework reveals that a stable and viable traversable wormhole solution may exist in this theory [40]. The Godel solutions for the physically well motivated matter sources are consistent with the Lyra geometry model [41]. The causality violation may be avoided in this framework for perfect fluid and scalar field sources [41].…”

Mathematical analysis on anisotropic Bianchi Type-III inflationary string Cosmological models in Lyra geometry

“…Bhamra (14) , Beesham (15) , Singh and Singh (16,17) , Rahaman et al (18) , Reddy and Rao (19,20) , Yadav et al (21) , Adhav et al (22) , Reddy (23) , Rao et al (24) are the some of the prominent authors who have already constructed various cosmological models in Lyra geometry. Recently, Singh et al (25) , W. D. R. Jesus, and A. F. Santos (26) , Singh and Mollah (27) , Mollah et al (28) , Yadav and Bhardwaj (29) , Maurya and Zia (30) , A. K. Yadav (31) have studied various cosmological models in different contexts considering Lyra's geometry.…”