Circular Orbits in Stationary Axisymmetric Spacetimes

Article

Circular Orbits in Stationary Axisymmetric Spacetimes

Semerák, O.

Gen. Relativ. Gravit. 30(8), 1203-1215 (1998)

Abstract

Several types of characteristics of spatially circular timelike trajectories in stationary axisymmetric spacetimes are related in a simple and covariant manner. The relations allow us to establish straightforward links between different phenomena often studied on circular orbits: mechanics of a single test particle, precession of gyroscopes with respect to important vectors defined along the orbit, geometrical parameters (curvatures) of the trajectory provided by the Frenet-Serret formalism, and geometrical properties (vorticity and shear) of the whole circular congruence.

Institute authors

Semerák, Oldřich

Supported by

GACR 202/96/0206 — Relativistic physics and astrophysics
GAUK 230/1996 — Relativistická teorie gravitace, astrofyzika a kosmologie

BibTeX

@article{UTF752,
  author        = {Semerák, O.},
  title         = {{Circular Orbits in Stationary Axisymmetric Spacetimes}},
  journal       = {Gen. Relativ. Gravit.},
  volume        = {30},
  number        = {8},
  pages         = {1203-1215},
  year          = {1998},
  month         = {8},
  doi           = {10.1023/A:1026694811879},
  url           = {https://link.springer.com/article/10.1023/A\%3A1026694811879},
}