The Orbital and Epicyclic Frequencies in Axially Symmetric and Stationary Spacetime
Motivated by observational evidence of the electromagnetic signal from the X-ray binary system known as quasi-periodic oscillations in the light curves of astrophysical black holes or neutron stars, we examined the general relativity and alternative theory of gravity in the strong gravity regime. Th...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-09-01
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| Series: | Universe |
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| Online Access: | https://www.mdpi.com/2218-1997/8/10/507 |
| _version_ | 1797469696790888448 |
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| author | Bobur Turimov Ozodbek Rahimov |
| author_facet | Bobur Turimov Ozodbek Rahimov |
| author_sort | Bobur Turimov |
| collection | DOAJ |
| description | Motivated by observational evidence of the electromagnetic signal from the X-ray binary system known as quasi-periodic oscillations in the light curves of astrophysical black holes or neutron stars, we examined the general relativity and alternative theory of gravity in the strong gravity regime. The orbital and epicyclic motion of test particles in general axially symmetric spacetime was investigated. We provide a general description to derive the exact analytical expressions for the fundamental frequencies, namely, Keplerian epicyclic (radial and vertical) frequencies of test particles in an arbitrary axisymmetric and stationary spacetime. The detailed derivation of the expressions for the orbital and epicyclic frequencies of test particles orbiting around the Kerr–Newman-NUT black hole is also shown. |
| first_indexed | 2024-03-09T19:24:52Z |
| format | Article |
| id | doaj.art-63f10f5cbef74ef69461b58cb2a6fe36 |
| institution | Directory Open Access Journal |
| issn | 2218-1997 |
| language | English |
| last_indexed | 2024-03-09T19:24:52Z |
| publishDate | 2022-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Universe |
| spelling | doaj.art-63f10f5cbef74ef69461b58cb2a6fe362023-11-24T03:01:25ZengMDPI AGUniverse2218-19972022-09-0181050710.3390/universe8100507The Orbital and Epicyclic Frequencies in Axially Symmetric and Stationary SpacetimeBobur Turimov0Ozodbek Rahimov1Ulugh Beg Astronomical Institute, Astronomy St. 33, Tashkent 100052, UzbekistanUlugh Beg Astronomical Institute, Astronomy St. 33, Tashkent 100052, UzbekistanMotivated by observational evidence of the electromagnetic signal from the X-ray binary system known as quasi-periodic oscillations in the light curves of astrophysical black holes or neutron stars, we examined the general relativity and alternative theory of gravity in the strong gravity regime. The orbital and epicyclic motion of test particles in general axially symmetric spacetime was investigated. We provide a general description to derive the exact analytical expressions for the fundamental frequencies, namely, Keplerian epicyclic (radial and vertical) frequencies of test particles in an arbitrary axisymmetric and stationary spacetime. The detailed derivation of the expressions for the orbital and epicyclic frequencies of test particles orbiting around the Kerr–Newman-NUT black hole is also shown.https://www.mdpi.com/2218-1997/8/10/507fundamental frequenciesorbital and epicyclic motionsaxially symmetric spacetime |
| spellingShingle | Bobur Turimov Ozodbek Rahimov The Orbital and Epicyclic Frequencies in Axially Symmetric and Stationary Spacetime Universe fundamental frequencies orbital and epicyclic motions axially symmetric spacetime |
| title | The Orbital and Epicyclic Frequencies in Axially Symmetric and Stationary Spacetime |
| title_full | The Orbital and Epicyclic Frequencies in Axially Symmetric and Stationary Spacetime |
| title_fullStr | The Orbital and Epicyclic Frequencies in Axially Symmetric and Stationary Spacetime |
| title_full_unstemmed | The Orbital and Epicyclic Frequencies in Axially Symmetric and Stationary Spacetime |
| title_short | The Orbital and Epicyclic Frequencies in Axially Symmetric and Stationary Spacetime |
| title_sort | orbital and epicyclic frequencies in axially symmetric and stationary spacetime |
| topic | fundamental frequencies orbital and epicyclic motions axially symmetric spacetime |
| url | https://www.mdpi.com/2218-1997/8/10/507 |
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