Gravitational capture cross-section in Zipoy-Voorhees spacetimes
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arXiv
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| Autori principali: | , , , , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866910734999355392 |
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| author | Momynov, Serzhan Boshkayev, Kuantay Quevedo, Hernando Belissarova, Farida Dalelkhankyzy, Anar Taukenova, Aliya Urazalina, Ainur Utepova, Daniya |
| author_facet | Momynov, Serzhan Boshkayev, Kuantay Quevedo, Hernando Belissarova, Farida Dalelkhankyzy, Anar Taukenova, Aliya Urazalina, Ainur Utepova, Daniya |
| contents | We consider geodesics of massive and massless test particles in the gravitational field of a static and axisymmetric compact object described by the quadrupolar metric ($q$-metric), which is the simplest generalization of the Schwarzschild metric, containing an independent quadrupole parameter $q$. We analyze the effective potential profile and calculate the orbital parameters and capture cross-sections of test particles in this spacetime. Moreover, we derive the explicit expression for the escape angle of photons as a function of the quadrupole parameter. All the results reduce in the corresponding limit of vanishing quadrupole to the well-known case of the Schwarzschild spacetime. We argue that our results could be used to investigate realistic compact objects such as white dwarfs and neutron stars. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_06598 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Gravitational capture cross-section in Zipoy-Voorhees spacetimes Momynov, Serzhan Boshkayev, Kuantay Quevedo, Hernando Belissarova, Farida Dalelkhankyzy, Anar Taukenova, Aliya Urazalina, Ainur Utepova, Daniya General Relativity and Quantum Cosmology We consider geodesics of massive and massless test particles in the gravitational field of a static and axisymmetric compact object described by the quadrupolar metric ($q$-metric), which is the simplest generalization of the Schwarzschild metric, containing an independent quadrupole parameter $q$. We analyze the effective potential profile and calculate the orbital parameters and capture cross-sections of test particles in this spacetime. Moreover, we derive the explicit expression for the escape angle of photons as a function of the quadrupole parameter. All the results reduce in the corresponding limit of vanishing quadrupole to the well-known case of the Schwarzschild spacetime. We argue that our results could be used to investigate realistic compact objects such as white dwarfs and neutron stars. |
| title | Gravitational capture cross-section in Zipoy-Voorhees spacetimes |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2412.06598 |