https://doi.org/10.1140/epjc/s10052-025-14243-5
Regular Article - Theoretical Physics
Accretion onto a Schwarzschild-like black hole in Einstein-Grisaru-Zanon gravity
1
Department of Physics, Zhejiang Normal University, 321004, Jinhua, China
2
Research Center of Astrophysics and Cosmology, Khazar University, 41 Mehseti Street, AZ1096, Baku, Azerbaijan
3
Laboratory of Theoretical and Applied Physics, Echahid Cheikh Larbi Tebessi University, 12001, Tebessa, Algeria
4
Department of Mathematical and Physical Sciences, College of Arts and Sciences, University of Nizwa, 616, Nizwa, Sultanate of Oman
5
Centre for Cosmology, Astrophysics and Space Science (CCASS), GLA University, 281406, Mathura, Uttar Pradesh, India
6
New Uzbekistan University, Movarounnahr Street 1, 100000, Tashkent, Uzbekistan
7
Urgench State University, Kh. Alimdjan Str. 14, 220100, Urgench, Uzbekistan
8
School of Science, Walailak University, 80160, Nakhon Si Thammarat, Thailand
9
College of Graduate Studies, Walailak University, 80160, Nakhon Si Thammarat, Thailand
a
phongpichit.ch@mail.wu.ac.th
Received:
21
November
2024
Accepted:
27
April
2025
Published online:
5
June
2025
We investigate the matter accretion of well-known fluids flowing onto a Schwarzschild-like black hole in Einstein–Grisaru–Zanon (EGZ) gravity. Within the framework of EGZ gravity, we can determine the accretion properties of fluids that have been extensively studied, including ultra-stiff fluid (USF), ultra-relativistic fluid (URF), radiation fluid (RF) and sub-relativistic fluid (SRF) by employing the dynamical approach. In this perspective, we have considered the steady-state and spherically symmetric accretion onto a Schwarzschild-like black hole in EGZ gravity. For this purpose, we have classified the isothermal types of fluid in the context of equations of state (EOS). Moreover, we have introduced the polytropic test fluid with accretion disks. The mass accretion rate is also investigated near a Schwarzschild-like black hole in EGZ gravity. It is interesting to note that the mass accretion rate of the Schwarzschild-like black hole in EGZ gravity exhibits a more typical behavior than the ordinary Schwarzschild black hole, which has been presented graphically under the effect of the involved black hole parameters. Furthermore, we have observed that the parameter involved in 
influences the properties of accretion near a black hole horizon.
© The Author(s) 2025
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