Gravitational capture cross-section in Zipoy-Voorhees spacetimes

Momynov S. Boshkayev K. Quevedo H. Belissarova F. Dalelkhankyzy A. Taukenova A. Urazalina A. Utepova D.
June 2025 Springer

General Relativity and Gravitation
2025 #57 Issue 6

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.

Escape angle of photons , Gravitational capture cross section , q-metric

Text of the article Перейти на текст статьи

Al-Farabi Kazakh National University, Al-Farabi, 71, Almaty, 050040, Kazakhstan
Satbayev University, Satbayev, 22, Almaty, 050013, Kazakhstan
Institute of Nuclear Physics, Ibragimova, 1, Almaty, 050032, Kazakhstan
Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, Mexico city, Mexico
Dipartimento di Fisica and ICRA, Università di Roma “La Sapienza”, Roma, Italy
Kazakh National Women’s Teacher Training University, Ayteke Bi, 99, Almaty, 050000, Kazakhstan
Abai Kazakh National Pedagogical University, Dostyk Ave., 13, Almaty, 050010, Kazakhstan

Al-Farabi Kazakh National University
Satbayev University
Institute of Nuclear Physics
Instituto de Ciencias Nucleares
Dipartimento di Fisica and ICRA
Kazakh National Women’s Teacher Training University
Abai Kazakh National Pedagogical University

10 лет помогаем публиковать статьи Международный издатель

Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026