Harmonic oscillations of neutral particles in the $\gamma$-metric
| Autor: | Bobir Toshmatov, Naresh Dadhich, Daniele Malafarina |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
Physics
010308 nuclear & particles physics General relativity Plane (geometry) 01 natural sciences General Relativity and Quantum Cosmology Azimuth Vacuum solution (general relativity) Quantum electrodynamics 0103 physical sciences Harmonic Circular orbit Astrophysics::Earth and Planetary Astrophysics 010306 general physics Axial symmetry Schwarzschild radius |
| Popis: | We consider a well-known static, axially symmetric, vacuum solution of Einstein equations belonging to Weyl's class and determine the fundamental frequencies of small harmonic oscillations of test particles around stable circular orbits in the equatorial plane. We discuss the radial profiles of frequencies of the radial, latitudinal (vertical), and azimuthal (Keplerian) harmonic oscillations relative to the comoving and distant observers and compare with the corresponding ones in the Schwarzschild and Kerr geometries. We show that there exist latitudinal and radial frequencies of harmonic oscillations of particles moving along the circular orbits for which it is impossible to determine whether the central gravitating object is described by the slowly rotating Kerr solution or by a slightly deformed static space-time. Comment: 11 pages, 5 figures |
| Databáze: | OpenAIRE |
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