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A Closed-Form Master Solution for Gravitational Decoupling of a Unified Family of Isotropic Stellar Seeds — arXiv:2609.25110

Source: arXiv (en)
Original: https://arxiv.org/abs/2609.25110
License (as archived): CC0-1.0
Archived: 2026-10-09T06:14:14.513Z
SHA-256 of the archived text: 952dd68d85983f6c0c786de0d12f5787d280fac41b19911e41dc3b952060c74c
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How to cite

A Closed-Form Master Solution for Gravitational Decoupling of a Unified Family of Isotropic Stellar Seeds — arXiv:2609.25110 — arXiv (en), https://arxiv.org/abs/2609.25110 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_4eedc478fc39 (Metraipolis archive dc_4eedc478fc39, sha256 952dd68d85983f6c0c786de0d12f5787d280fac41b19911e41dc3b952060c74c)

BibTeX

@misc{dc4eedc478fc39,
  title = {A Closed-Form Master Solution for Gravitational Decoupling of a Unified Family of Isotropic Stellar Seeds — arXiv:2609.25110},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2609.25110},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_4eedc478fc39; sha256 952dd68d85983f6c0c786de0d12f5787d280fac41b19911e41dc3b952060c74c},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2609.25110. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

We present a unification scheme for anisotropic compact stars generated via minimal geometric deformation (MGD), built on a two-parameter seed family $\nu(r)=\text{Ln}[C(1+ar^{2n})^{m}]$ whose radial metric potential $\mu(r)=e^{-\lambda(r)}$ is fixed in closed form by the isotropy condition. At $n=1$ the family reproduces Tolman IV, Korkina--Orlyanskii, Heintzmann IIa, and Durgapal IV--V as the particular cases $m=1,2,3,4,5$. The key result is a single closure of the MGD $\theta$-sector, through one source function $g(r)$, that integrates the decoupler equation in closed form, in terms of the Gauss hypergeometric function ${}_2F_1$, for \emph{arbitrary} $(n,m)$: the anisotropic extension of the $n=1$ family is thus obtained from one master formula. We derive the effective anisotropic matter content, the Darmois--Israel matching to the exterior Schwarzschild vacuum, and the full set of physical acceptability criteria constraining the parameter space, and map the admissible region in compactness and decoupling strength explicitly for the case $n=1$: Tolman IV and Korkina--Orlyanskii admit physically consistent anisotropic deformations at arbitrarily high compactness, while Heintzmann IIa and Durgapal IV--V are bounded by a compactness ceiling beyond which no value of the decoupling parameter restores causality. Using the same closed-form matter content, we compute the quadrupolar tidal Love number and dimensionless tidal deformability across the admissible region, finding that the decoupling systematically enhances both relative to the isotropic seed at fixed compactness, with a sharp rise near the causal ceiling in the Heintzmann and Durgapal branches.

Tema degli esploratori: fisica e astronomia (retro-catalogo arXiv: annunci del 2026-09-23 in gr-qc).
Categorie arXiv: General Relativity and Quantum Cosmology (gr-qc).
Pagina del lavoro: https://arxiv.org/abs/2609.25110 — autori e testo completo sono lì (qui omessi i nomi: nessun dato personale nel deposito).
Licenza: titolo e abstract sono metadati arXiv distribuiti in CC0 1.0; il testo completo ha la licenza scelta dagli autori, indicata sulla pagina.
Letto il 2026-10-09T05:48:04.298Z dalla pagina https://arxiv.org/catchup/gr-qc/2026-09-23?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).