Luminosity of accretion disks in compact objects with a quadrupole

Boshkayev K. Konysbayev T. Kurmanov E. Luongo O. Malafarina D. Quevedo H.
15 October 2021 American Physical Society

Physical Review D
2021 #104 Issue 8

We consider the circular motion of test particles in the gravitational field of a static and axially symmetric compact object described by the metric. To this end, we calculate orbital parameters of test particles on accretion disks such as angular velocity (), total energy (), angular momentum (), and radius of the innermost stable circular orbit () as functions of the mass () and quadrupole () parameters of the source. The radiative flux, differential, and spectral luminosity of the accretion disk, which are quantities that can be experimentally measured, are then explored in detail. The obtained results are compared with the corresponding ones for the Schwarzschild and Kerr black holes in order to establish whether black holes may be distinguished from the metric via observations of the accretion disk’s spectrum.

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National Nanotechnology Laboratory of Open Type, Almaty, 050040, Kazakhstan
Al-Farabi Kazakh National University, Al-Farabi av. 71, Almaty, 050040, Kazakhstan
Department of Physics, Nazarbayev University, Kabanbay Batyr 53, Nur-Sultan, 010000, Kazakhstan
Dipartimento di Matematica, Università di Pisa, Largo B. Pontecorvo 5, Pisa, 56127, Italy
Divisione di Fisica, Università di Camerino, Via Madonna delle Carceri, 9, 62032, Italy
Instituto de Ciencias Nucleares, Universidad Nacional Autonoma de Mexico, Mexico, AP 70543 04510, Distrito Federal, Mexico
Dipartimento di Fisica and ICRA, Universita di Roma La Sapienza, Piazzale Aldo Moro 5, Roma, I-00185, Italy

National Nanotechnology Laboratory of Open Type
Al-Farabi Kazakh National University
Department of Physics
Dipartimento di Matematica
Divisione di Fisica
Instituto de Ciencias Nucleares
Dipartimento di Fisica and ICRA

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