Accretion disk in the Hartle–Thorne spacetime
Boshkayev K. Konysbayev T. Kurmanov Y. Luongo O. Muccino M. Quevedo H. Urazalina A.
March 2024Springer Science and Business Media Deutschland GmbH
European Physical Journal Plus
2024#139Issue 3
We consider the circular motion of test particles in the gravitational field of a rotating deformed object described by the Hartle–Thorne metric. This metric represents an approximate solution to the vacuum Einstein field equations, accurate to second order in the angular momentum J and to first order in the mass quadrupole moment Q. We calculate the orbital parameters of neutral test particles on circular orbits (in accretion disks) such as angular velocity, Ω, total energy, E, angular momentum, L, and radius of the innermost stable circular orbit, RISCO, as functions of the total mass, M, spin parameter, j=J/M2 and quadrupole parameter, q=Q/M3, of the source. We use the Novikov-Thorne-Page thin accretion disk model to investigate the characteristics of the disk. In particular, we analyze in detail the radiative flux, differential luminosity, and spectral luminosity of the accretion disk, which are the quantities that can be measured experimentally. We compare our results with those obtained in the literature for the Schwarzschild and Kerr metrics and the q-metric. It turns out that the Hartle–Thorne metric and the Kerr metric lead to similar results for the predicted flux and the differential and spectral luminosities, whereas the q-metric predicts different values. We compare the predicted values of M, j, and q with those of realistic neutron star models. Furthermore, we compare the values of RISCO with the static and rotating radii of neutron stars.
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National Nanotechnology Laboratory of Open Type, Al-Farabi av. 71, Almaty, 050040, Kazakhstan
Al-Farabi Kazakh National University, Al-Farabi av. 71, Almaty, 050040, Kazakhstan
Institute of Nuclear Physics, Ibragimova, 1, Almaty, 050032, Kazakhstan
International Engineering Technological University, Al-Farabi av. 93 G/5, Almaty, 050060, Kazakhstan
Scuola di Scienze e Tecnologie, Divisione di Fisica, Università di Camerino, Via Madonna delle Carceri 9, Camerino, 62032, Italy
SUNY Polytechnic Institute, 13502 Utica, 10001, NY, United States
Istituto Nazionale di Fisica Nucleare, Sezione di Perugia, Via Alessandro Pascoli, 23c, Perugia, 06123, Italy
INAF - Osservatorio Astronomico di Brera, Via Brera 28, Milano, 20121, Italy
Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, Cto. Exterior S/N, C.U., Coyoacán, Mexico, 34000, Mexico
Dipartimento di Fisica and ICRA, Università di Roma “La Sapienza”, Città Universitaria di Roma - Sapienza, Piazzale Aldo Moro, 2, Roma, 00185, Italy
National Nanotechnology Laboratory of Open Type
Al-Farabi Kazakh National University
Institute of Nuclear Physics
International Engineering Technological University
Scuola di Scienze e Tecnologie
SUNY Polytechnic Institute
Istituto Nazionale di Fisica Nucleare
INAF - Osservatorio Astronomico di Brera
Instituto de Ciencias Nucleares
Dipartimento di Fisica and ICRA
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