Spherical Accretion in the Schwarzschild Spacetime in the Newtonian Analogous Construct
The velocity-dependent Newtonian analogous potentials (NAPs) corresponding to general relativistic (GR) spacetimes accurately capture most of the relativistic features, including all classical tests of GR, effectively representing spacetime geometries in Newtonian terms. The NAP formulated by Tejeda...
Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
IOP Publishing
2025-01-01
|
| Series: | The Astrophysical Journal |
| Subjects: | |
| Online Access: | https://doi.org/10.3847/1538-4357/ad901f |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1841554986197057536 |
|---|---|
| author | Shubhrangshu Ghosh Souvik Ghose Kalyanbrata Pal Arunabha Bhadra Tapas K. Das |
| author_facet | Shubhrangshu Ghosh Souvik Ghose Kalyanbrata Pal Arunabha Bhadra Tapas K. Das |
| author_sort | Shubhrangshu Ghosh |
| collection | DOAJ |
| description | The velocity-dependent Newtonian analogous potentials (NAPs) corresponding to general relativistic (GR) spacetimes accurately capture most of the relativistic features, including all classical tests of GR, effectively representing spacetime geometries in Newtonian terms. The NAP formulated by Tejeda & Rosswog (TR13) for Schwarzschild spacetime has been applied to the standard thin accretion disk around a black hole (BH) as well as in the context of streamlines of noninteracting particles accreting onto a Schwarzschild BH, showing good agreement with the exact relativistic solutions. As a further application, here we explore the extent to which TR13 NAP could describe a transonic hydrodynamical spherical accretion flow in Schwarzschild spacetime within the framework of standard Newtonian hydrodynamics. Instead of obtaining a typical single “saddle-type” sonic transition, a “saddle–spiral pair” is produced, with the inner sonic point being an (unphysical) “spiral type” and the outer being a usual “saddle type.” The Bondi accretion rate at outer sonic radii, however, remains consistent with that of the GR case. The primary reason for the deviation of our findings from the classical Bondi solution is likely due to the inconsistency between the Euler-type equation in the presence of velocity-dependent TR13 NAP within the standard Newtonian hydrodynamics framework, and the corresponding GR Euler equation, regardless of the fluid’s energy. Our study suggests that a (modified) hydrodynamical formalism is needed to effectively implement such potentials in transonic accretion studies that align with the spirit of TR13 like NAP, while remaining consistent with the GR hydrodynamics. This could then essentially circumvent GR hydrodynamics or GR magnetohydrodynamics equations |
| format | Article |
| id | doaj-art-0eafd10b5f3944a691e084edf8a76a5d |
| institution | Kabale University |
| issn | 1538-4357 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | The Astrophysical Journal |
| spelling | doaj-art-0eafd10b5f3944a691e084edf8a76a5d2025-01-08T07:28:13ZengIOP PublishingThe Astrophysical Journal1538-43572025-01-01978215510.3847/1538-4357/ad901fSpherical Accretion in the Schwarzschild Spacetime in the Newtonian Analogous ConstructShubhrangshu Ghosh0Souvik Ghose1Kalyanbrata Pal2Arunabha Bhadra3https://orcid.org/0000-0001-9579-7144Tapas K. Das4https://orcid.org/0000-0002-7013-0383Center for Astrophysics, Gravitation and Cosmology, Shri Ramasamy Memorial (SRM) University Sikkim , 5th Mile Tadong, Gangtok, 737102, India ; shubhrangshughosh.r@srmus.edu.in; Department of Physics, Shri Ramasamy Memorial (SRM) University Sikkim , 5th Mile Tadong, Gangtok, 737102, IndiaHarish-Chandra Research Institute , HBNI, Chhatnag Road, Jhunsi, Allahabad, 211109, India ; souvikghose@hri.res.in, kalyanbratapal@hri.res.in, tapas@hri.res.inHarish-Chandra Research Institute , HBNI, Chhatnag Road, Jhunsi, Allahabad, 211109, India ; souvikghose@hri.res.in, kalyanbratapal@hri.res.in, tapas@hri.res.inHigh Energy & Cosmic Ray Research Centre, University of North Bengal , Siliguri, 734013, India ; aru_bhadra@yahoo.comHarish-Chandra Research Institute , HBNI, Chhatnag Road, Jhunsi, Allahabad, 211109, India ; souvikghose@hri.res.in, kalyanbratapal@hri.res.in, tapas@hri.res.in; Physics and Applied Mathematics Unit, Indian Statistical Institute , 203 Barrackpore Trunk Road, Kolkata, 700108, IndiaThe velocity-dependent Newtonian analogous potentials (NAPs) corresponding to general relativistic (GR) spacetimes accurately capture most of the relativistic features, including all classical tests of GR, effectively representing spacetime geometries in Newtonian terms. The NAP formulated by Tejeda & Rosswog (TR13) for Schwarzschild spacetime has been applied to the standard thin accretion disk around a black hole (BH) as well as in the context of streamlines of noninteracting particles accreting onto a Schwarzschild BH, showing good agreement with the exact relativistic solutions. As a further application, here we explore the extent to which TR13 NAP could describe a transonic hydrodynamical spherical accretion flow in Schwarzschild spacetime within the framework of standard Newtonian hydrodynamics. Instead of obtaining a typical single “saddle-type” sonic transition, a “saddle–spiral pair” is produced, with the inner sonic point being an (unphysical) “spiral type” and the outer being a usual “saddle type.” The Bondi accretion rate at outer sonic radii, however, remains consistent with that of the GR case. The primary reason for the deviation of our findings from the classical Bondi solution is likely due to the inconsistency between the Euler-type equation in the presence of velocity-dependent TR13 NAP within the standard Newtonian hydrodynamics framework, and the corresponding GR Euler equation, regardless of the fluid’s energy. Our study suggests that a (modified) hydrodynamical formalism is needed to effectively implement such potentials in transonic accretion studies that align with the spirit of TR13 like NAP, while remaining consistent with the GR hydrodynamics. This could then essentially circumvent GR hydrodynamics or GR magnetohydrodynamics equationshttps://doi.org/10.3847/1538-4357/ad901fBondi accretionBlack hole physicsAccretionHigh energy astrophysics |
| spellingShingle | Shubhrangshu Ghosh Souvik Ghose Kalyanbrata Pal Arunabha Bhadra Tapas K. Das Spherical Accretion in the Schwarzschild Spacetime in the Newtonian Analogous Construct The Astrophysical Journal Bondi accretion Black hole physics Accretion High energy astrophysics |
| title | Spherical Accretion in the Schwarzschild Spacetime in the Newtonian Analogous Construct |
| title_full | Spherical Accretion in the Schwarzschild Spacetime in the Newtonian Analogous Construct |
| title_fullStr | Spherical Accretion in the Schwarzschild Spacetime in the Newtonian Analogous Construct |
| title_full_unstemmed | Spherical Accretion in the Schwarzschild Spacetime in the Newtonian Analogous Construct |
| title_short | Spherical Accretion in the Schwarzschild Spacetime in the Newtonian Analogous Construct |
| title_sort | spherical accretion in the schwarzschild spacetime in the newtonian analogous construct |
| topic | Bondi accretion Black hole physics Accretion High energy astrophysics |
| url | https://doi.org/10.3847/1538-4357/ad901f |
| work_keys_str_mv | AT shubhrangshughosh sphericalaccretionintheschwarzschildspacetimeinthenewtoniananalogousconstruct AT souvikghose sphericalaccretionintheschwarzschildspacetimeinthenewtoniananalogousconstruct AT kalyanbratapal sphericalaccretionintheschwarzschildspacetimeinthenewtoniananalogousconstruct AT arunabhabhadra sphericalaccretionintheschwarzschildspacetimeinthenewtoniananalogousconstruct AT tapaskdas sphericalaccretionintheschwarzschildspacetimeinthenewtoniananalogousconstruct |