Hydrodynamics and global embeddings of Taub-NUT spacetime

Details Hydrodynamics and global embeddings of Taub-NUT spacetime Hydrodynamics and global embeddings of Taub-NUT spacetime

2010-05-23

arxiv.org/abs/1005.4169v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

6 pages

Scientific paper

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.

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