Gravitational capture cross-section in Zipoy-Voorhees spacetimes
| Autor: | Momynov, Serzhan, Boshkayev, Kuantay, Quevedo, Hernando, Belissarova, Farida, Dalelkhankyzy, Anar, Taukenova, Aliya, Urazalina, Ainur, Utepova, Daniya |
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| Rok vydání: | 2024 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | 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. Comment: 8 pages, 10 figures, 1 table |
| Databáze: | arXiv |
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