Neutrino-dominated Relativistic Viscous Accretion Flows around Rotating Black Holes with Shocks

We investigate the relativistic, viscous, advective neutrino-dominated accretion flows (NDAFs) around rotating stellar-mass black holes, incorporating neutrino cooling. By adopting an effective potential to describe the spacetime geometry around the rotating black holes, we self-consistently solve t...

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Bibliographic Details
Main Authors: Amit Kumar, Sayan Chakrabarti, Santabrata Das
Format: Article
Language:English
Published: IOP Publishing 2025-01-01
Series:The Astrophysical Journal
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Online Access:https://doi.org/10.3847/1538-4357/adabc8
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Summary:We investigate the relativistic, viscous, advective neutrino-dominated accretion flows (NDAFs) around rotating stellar-mass black holes, incorporating neutrino cooling. By adopting an effective potential to describe the spacetime geometry around the rotating black holes, we self-consistently solve the governing NDAF equations to obtain global transonic accretion solutions. Our findings indicate that, depending on the model parameters, namely, energy ( ε ), angular momentum ( λ ), accretion rate ( $\dot{m}$ ), viscosity ( α ), and black hole spin ( a _k ), NDAFs may harbor standing shocks where the Rankine–Hugoniot shock conditions are satisfied. Utilizing these shock-induced NDAF solutions, we compute the neutrino luminosity ( L _ν ) and neutrino annihilation luminosity ( ${L}_{\nu \bar{\nu }}$ ) across a wide range of model parameters. We further calculate maximum neutrino luminosity ( ${L}_{\nu }^{{\rm{\max }}}$ ) and neutrino annihilation luminosity ( ${L}_{\nu \bar{\nu }}^{{\rm{\max }}}$ ), resulting in ${L}_{\nu }^{{\rm{\max }}}\sim 1{0}^{51-53}$ erg s ^−1 (10 ^48−51 erg s ^−1 ) and ${L}_{\nu \bar{\nu }}^{{\rm{\max }}}\sim 1{0}^{48-52}$ erg s ^−1 (10 ^42−49 erg s ^−1 ) for a _k  = 0.99 (0.0). These findings suggest that shocked NDAF solutions are potentially promising to explain the energy output of gamma-ray bursts (GRBs). We employ our NDAF model formalism to elucidate ${L}_{\nu \bar{\nu }}^{{\rm{obs}}}$ for five GRBs with known redshifts and estimate their accretion rate ( $\dot{m}$ ) based on the spin ( a _k ) of the central source of the GRBs studied here.
ISSN:1538-4357