TL;DR
This paper investigates chaotic behavior in geodesic motion within a specific Kundt type III spacetime that admits Einstein-Yang-Mills solutions, revealing chaos through numerical analysis.
Contribution
It demonstrates the emergence of chaos in geodesic dynamics of a Kundt type III spacetime with Einstein-Yang-Mills fields, using a novel projection approach.
Findings
Chaotic behavior observed in geodesic motion.
Chaos appears under reasonable physical conditions.
Numerical methods confirm the presence of chaos.
Abstract
We consider geodesics motion in a particular Kundt type III spacetime in which Einstein-Yang-Mills equations admit solutions. On a particular surface as constraint we project the geodesics into the (x,y) plane and treat the problem as a 2-dimensional one. Our numerical study shows that chaotic behavior emerges under reasonable conditions.
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