Dynamical systems of null geodesics and solutions of Tomimatsu-Sato 2 Article Swipe
Related Concepts
Geodesic
Null (SQL)
Mathematics
Dynamical systems theory
Geodesics in general relativity
Pure mathematics
Physics
Mathematical analysis
Computer science
Quantum mechanics
Database
Sumanto Chanda
,
Partha Guha
·
YOU?
·
· 2017
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.1704.01830
· OA: W2796133952
YOU?
·
· 2017
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.1704.01830
· OA: W2796133952
We have studied optical metrics via null geodesics and optical-mechanical formulation of classical mechanics, and described the geometry and optics of mechanical systems with drag dependent quadratically on velocity. Then we studied null geodesics as a central force system, deduced the related Binet's equation applied the analysis to other solutions of Einstein's equations in spherically symmetric spaces, paying special attention to the Tomimatsu-Sato metric. Finally, we examined the dualities between different systems arising from conformal transformations that preserve the Jacobi metric.
Related Topics
Finding more related topics…