https://doi.org/10.1140/epjc/s10052-023-11600-0
Regular Article - Theoretical Physics
Accretion disc around black hole in Einstein-SU(N) non-linear sigma model
1
Department of Mathematics, The Islamia University of Bahawalpur, Bahawalpur, Pakistan
2
Institute for Theoretical Physics and Cosmology, Zhejiang University of Technology, 310023, Hangzhou, China
3
United Center for Gravitational Wave Physics (UCGWP), Zhejiang University of Technology, 310023, Hangzhou, China
Received:
31
March
2023
Accepted:
7
May
2023
Published online:
21
May
2023
The accretion of matter onto celestial bodies like black holes and neutron stars is a natural phenomenon that releases up to 
of the matter’s rest-mass energy, which is considered a source of radiation. In active galactic nuclei and X-ray binaries, huge luminosities are observed as a result of accretion. Using isothermal fluid, we examine the accretion and geodesic motion of particles in the vicinity of a spherically symmetric black hole spacetime in the Einstein-SU(N) non-linear sigma model. In the accretion process, the disk-like structure is produced by the geodesic motion of particles near the black hole. We determine the innermost stable circular orbit, energy flux, radiation temperature, and radioactive efficiency numerically. In the equatorial plane, we investigate the mobility of particles with stabilities that form circular orbits. We examine perturbations of a test particle by using restoring forces and particle oscillations in the vicinity of the black hole. We analyze the maximum accretion rate and critical flow of the fluid. Our findings demonstrate how parameter N influences the circular motion of a test particle as well as the maximum accretion rate of the black hole in the Einstein-SU(N) non-linear sigma model.
© The Author(s) 2023
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
Funded by SCOAP3. SCOAP3 supports the goals of the International Year of Basic Sciences for Sustainable Development.
