Hall-modified magnetogravitational modes in degenerate and anisotropic rotating plasmas: Application to Stratified White Dwarfs

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ID: 315470
2026
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Abstract
Abstract This work presents a systematic analytical and numerical investigation of gravitational instability and wave propagation in a rotating, self-gravitating, magnetized plasma with intrinsic magnetization, motivated by the layered structure of white dwarfs. A generalized magneto-fluid model incorporating quantum pressure, intrinsic spin magnetization, Hall current, and finite Larmor radius (FLR) corrections are employed to derive a comprehensive dispersion relation using normal-mode analysis, providing a unified framework applicable to both the dense degenerate interior and the magnetized envelope of compact stars. The dispersion relation is analyzed under parameter orderings corresponding to two physically distinct regimes. In the interior (density ρ ∼ 108 g cm−3), gravitational growth rates reach γ ∼ 3 s−1 with characteristic times τg ∼ 0.3 s, while Ω/γ ≪ 1 and plasma β ≫ 1, indicating the dominance of self-gravity and quantum degeneracy over rotational and magnetic effects. In contrast, in the lower-density envelope (density ∼ 104 g cm−3, magnetic field ∼ 108–109 G), rotational and magnetic effects become dynamically comparable to gravitational growth, with Ω/γ ∼ 0.1–1 and plasma β approaching unity, while Hall and FLR corrections introduce scale-dependent modifications. The analysis reveals a geometry-dependent transition in instability regulation across stellar layers: degeneracy shifts the modified Jeans threshold and controls fragmentation scales of order 10²–10³ km in the core, whereas magneto-rotational and anisotropic effects regulate instability in the envelope. Without modifying the governing dispersion relation, distinct parameter orderings naturally produce layer-dependent behaviour. The present study provides a unified and geometry-sensitive description of gravitational instability in rotating, magnetized white dwarf plasmas, applicable across different stellar layers.
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Authors Prerana Sharma
Journal monthly notices of the royal astronomical society
Year 2026
DOI
10.1093/mnras/stag957
URL
https://doi.org/10.1093/mnras/stag957
Keywords Keywords not found

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