Geodesic deviation on symmetry axis in Taub-NUT metric
arXiv:2205.00166 · doi:10.1142/S0218271822501085
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 article focuses on the study of the axially symmetric Taub-NUT 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 NUT-charge on the tidal properties of Taub-NUT metric. And another important feature that we found is the regular behavior of all tidal force components at all points of spacetime.
arXiv comment16 pages,6 figures
References in corpus (12)
- Observation of Gravitational Waves from a Binary Black Hole Merger
- Quintessence and black holes
- Analytic treatment of complete and incomplete geodesics in Taub-NUT space-times
- Dynamics of Relativistic Flows
- Tidal Dynamics of Relativistic Flows Near Black Holes
- Tidal effects in Schwarzschild black hole in holographic massive gravity
- Tidal forces in dirty black hole spacetimes
- Tidal Forces in Kottler Spacetimes
- Tidal effects in 4D Einstein-Gauss-Bonnet Black Hole Spacetime
- Relativistic Tidal Acceleration of Astrophysical Jets
- Tidal Forces in Naked Singularity Backgrounds
- Deviation of nonradial geodesics in a static spherically symmetric space-time