@misc{10481/70138,
year = {2017},
url = {http://hdl.handle.net/10481/70138},
abstract = {The notion of uniform circular motion in a general spacetime is introduced as a particular
case of a planar motion. The initial value problem of the corresponding di erential
equation is analysed in detail. Geometrically, an observer which obeys a uniform circular
motion is characterized as a Lorentzian helix. The completeness of its inextensible
trajectories is studied in Generalized Robertson-Walker spacetimes and in a relevant family
of pp-wave spacetimes. The results may be physically interpreted saying that, under
reasonable assumptions, a uniformly circular observer lives forever in these spacetimes,
providing the absence of the singularities de ned by these timelike curves.},
title = {Uniform circular motion in General Relativity: Existence and extendibility of the trajectories},
author = {De la Fuente, Daniel and Romero Sarabia, Alfonso and Torres Villarroya, Pedro José},
}