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Equilibrium of large scale rotating gravitational systems – the role of the gravitomagnetic field.

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Title: Equilibrium of large scale rotating gravitational systems – the role of the gravitomagnetic field.
Authors: Ludwig, G. O.1,2 (AUTHOR) gerson.ludwig@inpe.br
Source: European Physical Journal C -- Particles & Fields. Oct2025, Vol. 85 Issue 10, p1-25. 25p.
Subjects: Dark matter, Rotational flow, Fredholm equations, Gravitational interactions, Galactic dynamics, Gravitational fields, Equilibrium
Abstract: The equilibrium of large scale gravitational rotating dust systems is analyzed within the extended gravitoelectromagnetic (GEM) formulation. The gravitomagnetic (GM) field establishes a rotational flow inside the dust fluid. Boundary and external field effects are introduced using Helmholtz's decomposition theorem. The internal and external GM fields provide the force balance along the boundary surface that ensures the integrity of the self-gravitating system. In this sense the GM field plays the role of dark matter. The force balance leads to an inhomogeneous nonlinear Fredholm equation of the second kind describing the shape of the free flow boundary surface. The total enclosed mass is given by an exact expression corresponding to the baryonic Tully–Fisher law. [ABSTRACT FROM AUTHOR]
Copyright of European Physical Journal C -- Particles & Fields is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Equilibrium of large scale rotating gravitational systems – the role of the gravitomagnetic field.
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  Data: <searchLink fieldCode="JN" term="%22European+Physical+Journal+C+--+Particles+%26+Fields%22">European Physical Journal C -- Particles & Fields</searchLink>. Oct2025, Vol. 85 Issue 10, p1-25. 25p.
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  Data: <searchLink fieldCode="DE" term="%22Dark+matter%22">Dark matter</searchLink><br /><searchLink fieldCode="DE" term="%22Rotational+flow%22">Rotational flow</searchLink><br /><searchLink fieldCode="DE" term="%22Fredholm+equations%22">Fredholm equations</searchLink><br /><searchLink fieldCode="DE" term="%22Gravitational+interactions%22">Gravitational interactions</searchLink><br /><searchLink fieldCode="DE" term="%22Galactic+dynamics%22">Galactic dynamics</searchLink><br /><searchLink fieldCode="DE" term="%22Gravitational+fields%22">Gravitational fields</searchLink><br /><searchLink fieldCode="DE" term="%22Equilibrium%22">Equilibrium</searchLink>
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  Data: The equilibrium of large scale gravitational rotating dust systems is analyzed within the extended gravitoelectromagnetic (GEM) formulation. The gravitomagnetic (GM) field establishes a rotational flow inside the dust fluid. Boundary and external field effects are introduced using Helmholtz's decomposition theorem. The internal and external GM fields provide the force balance along the boundary surface that ensures the integrity of the self-gravitating system. In this sense the GM field plays the role of dark matter. The force balance leads to an inhomogeneous nonlinear Fredholm equation of the second kind describing the shape of the free flow boundary surface. The total enclosed mass is given by an exact expression corresponding to the baryonic Tully–Fisher law. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of European Physical Journal C -- Particles & Fields is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1140/epjc/s10052-025-14975-4
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      – Code: eng
        Text: English
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      – SubjectFull: Dark matter
        Type: general
      – SubjectFull: Rotational flow
        Type: general
      – SubjectFull: Fredholm equations
        Type: general
      – SubjectFull: Gravitational interactions
        Type: general
      – SubjectFull: Galactic dynamics
        Type: general
      – SubjectFull: Gravitational fields
        Type: general
      – SubjectFull: Equilibrium
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      – TitleFull: Equilibrium of large scale rotating gravitational systems – the role of the gravitomagnetic field.
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              Text: Oct2025
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