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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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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author Amit Kumar
Sayan Chakrabarti
Santabrata Das
author_facet Amit Kumar
Sayan Chakrabarti
Santabrata Das
author_sort Amit Kumar
collection DOAJ
description 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.
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spelling doaj-art-f985af8e8ce24105a499630b8a806bad2025-02-05T13:31:28ZengIOP PublishingThe Astrophysical Journal1538-43572025-01-0198016810.3847/1538-4357/adabc8Neutrino-dominated Relativistic Viscous Accretion Flows around Rotating Black Holes with ShocksAmit Kumar0Sayan Chakrabarti1Santabrata Das2https://orcid.org/0000-0003-4399-5047Indian Institute of Technology Guwahati , Guwahati 781039, Assam, India ; kamit@iitg.ac.in, sayan.chakrabarti@iitg.ac.in, sbdas@iitg.ac.inIndian Institute of Technology Guwahati , Guwahati 781039, Assam, India ; kamit@iitg.ac.in, sayan.chakrabarti@iitg.ac.in, sbdas@iitg.ac.inIndian Institute of Technology Guwahati , Guwahati 781039, Assam, India ; kamit@iitg.ac.in, sayan.chakrabarti@iitg.ac.in, sbdas@iitg.ac.inWe 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.https://doi.org/10.3847/1538-4357/adabc8AccretionHydrodynamicsBlack hole physicsShocks
spellingShingle Amit Kumar
Sayan Chakrabarti
Santabrata Das
Neutrino-dominated Relativistic Viscous Accretion Flows around Rotating Black Holes with Shocks
The Astrophysical Journal
Accretion
Hydrodynamics
Black hole physics
Shocks
title Neutrino-dominated Relativistic Viscous Accretion Flows around Rotating Black Holes with Shocks
title_full Neutrino-dominated Relativistic Viscous Accretion Flows around Rotating Black Holes with Shocks
title_fullStr Neutrino-dominated Relativistic Viscous Accretion Flows around Rotating Black Holes with Shocks
title_full_unstemmed Neutrino-dominated Relativistic Viscous Accretion Flows around Rotating Black Holes with Shocks
title_short Neutrino-dominated Relativistic Viscous Accretion Flows around Rotating Black Holes with Shocks
title_sort neutrino dominated relativistic viscous accretion flows around rotating black holes with shocks
topic Accretion
Hydrodynamics
Black hole physics
Shocks
url https://doi.org/10.3847/1538-4357/adabc8
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AT sayanchakrabarti neutrinodominatedrelativisticviscousaccretionflowsaroundrotatingblackholeswithshocks
AT santabratadas neutrinodominatedrelativisticviscousaccretionflowsaroundrotatingblackholeswithshocks