Effective potential and geodesic motion in Kerr-de Sitter space-time
General Relativity and Quantum Cosmology
2013-09-09 v1 Cosmology and Nongalactic Astrophysics
Abstract
In the present work, geodesic trajectories in Kerr-de Sitter geometry is analyzed. From the mathematical solution of Lagrangian formalism appropriate to motions in the equatorial plane (for which 'theta' = 0 and 'theta' = (constant)= pi/2) can give potential energy of massive and massless particles for rotating axisymetric black hole. From this, for a particular value of cosmological constant, Kerr parameter, mass, angular momentum and impact parameter; variation of potential with distance can be found. Similarly, for a particular value of cosmological constant, mass and Kerr parameter; variation of velocity with distance can be found.
Cite
@article{arxiv.1309.1685,
title = {Effective potential and geodesic motion in Kerr-de Sitter space-time},
author = {P. C. Poudel and U. Khanal},
journal= {arXiv preprint arXiv:1309.1685},
year = {2013}
}