Hydrodynamics and global embeddings of Taub-NUT spacetime

TL;DR

This paper explores the hydrodynamic behavior and global embeddings of Taub-NUT spacetime, analyzing fluid motion, effective potentials, and the influence of gravitational magnetic monopoles.

Contribution

It provides new insights into the hydrodynamics and global embeddings of Taub-NUT spacetime, including derivations of radial equations and effective potentials.

Findings

Derived radial equations of motion with effective potentials.

Constructed higher dimensional global embeddings.

Analyzed particle effective potentials in terms of monopole strength.

Abstract

On Taub-NUT spacetime, we investigate hydrodynamic properties of perfect fluid spiraling inward toward the spacetime along a conical surface. On the equatorial plane of the Taub-NUT spacetime, we derive radial equations of motion with effective potentials and the Euler equation for steady state axisymmetric fluid. Higher dimensional global embeddings are constructed inside and outside the event horizons of the Taub-NUT spacetime. We also study the effective potentials of particles on the Taub-NUT spacetime in terms of gravitational magnetic monopole strength of the source, total energy and angular momentum per unit rest mass of the particle.