6533b7d1fe1ef96bd125c2be

RESEARCH PRODUCT

Kinematic relative velocity with respect to stationary observers in Schwarzschild spacetime

Vicente J. Bolós

subject

PhysicsGeodesicSpacetimeRelative velocityFOS: Physical sciencesGeneral Physics and AstronomyGeneral Relativity and Quantum Cosmology (gr-qc)Mathematical Physics (math-ph)KinematicsObserver (physics)General Relativity and Quantum Cosmology83C57 53A35 53C50Classical mechanicsGeometry and TopologyCircular orbitTest particleSchwarzschild radiusMathematical Physics

description

We study the kinematic relative velocity of general test particles with respect to stationary observers (using spherical coordinates) in Schwarzschild spacetime, obtaining that its modulus does not depend on the observer, unlike Fermi, spectroscopic and astrometric relative velocities. We study some fundamental particular cases, generalizing some results given in other work about stationary and radial free-falling test particles. Moreover, we give a new result about test particles with circular geodesic orbits: the modulus of their kinematic relative velocity with respect to any stationary observer depends only on the radius of the circular orbit, and so, it remains constant.

yearjournalcountryeditionlanguage
2013-04-01Journal of Geometry and Physics
https://doi.org/10.1016/j.geomphys.2012.12.005