Geodesic deviation on symmetry axis in TaubNUT metric
Abstract
An important aspect of general relativity is to study properties of geodesics. A useful tool for describing geodesic behavior is the geodesic deviation equation. It allows to describe the tidal properties of gravitating objects through the curvature of spacetime. This paper focuses on the study of the axially symmetric TaubNUT metric. We study tidal effects in this metric using the geodesic deviation equation. Radial geodesics along the symmetry axis of spacetime are considered. We show that all spatial components of tidal forces always change sign under the event horizon. We find a solution of the geodesic deviation equation for all geodesic deviation vector components. It allows us to quantify the effect of the NUTcharge on the tidal properties of TaubNUT metric. Another important feature that we found is the regular behavior of all tidal force components at all points of spacetime.
 Publication:

International Journal of Modern Physics D
 Pub Date:
 2022
 DOI:
 10.1142/S0218271822501085
 arXiv:
 arXiv:2205.00166
 Bibcode:
 2022IJMPD..3150108V
 Keywords:

 Taub–NUT spacetime;
 black hole;
 tidal force;
 General Relativity and Quantum Cosmology
 EPrint:
 16 pages,6 figures