6533b859fe1ef96bd12b8355

RESEARCH PRODUCT

An algorithm for computing geometric relative velocities through Fermi and observational coordinates

Vicente J. Bolós

subject

Physics83C10 83-08 65Z05Physics and Astronomy (miscellaneous)Numerical analysisMathematical analysisRelative velocityFOS: Physical sciencesKinematicsGeneral Relativity and Quantum Cosmology (gr-qc)Mathematical Physics (math-ph)Observer (physics)General Relativity and Quantum CosmologyConvergence testsTest particleSchwarzschild radiusMathematical PhysicsFermi Gamma-ray Space Telescope

description

We present a numerical method for computing the \textit{Fermi} and \textit{observational coordinates} of a distant test particle with respect to an observer. We apply this method for computing some previously introduced concepts of relative velocity: \textit{kinematic}, \textit{Fermi}, \textit{spectroscopic} and \textit{astrometric} relative velocities. We also extend these concepts to non-convex normal neighborhoods and we make some convergence tests, studying some fundamental examples in Schwarzschild and Kerr spacetimes. Finally, we show an alternative method for computing the Fermi and astrometric relative velocities.

yearjournalcountryeditionlanguage
2013-12-11
https://dx.doi.org/10.48550/arxiv.1301.2932