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Exact scalarization thresholds and onset laws for a nonminimally coupled scalar field on the Ellis wormhole — arXiv:2611.00541

Source: arXiv (en)
Original: https://arxiv.org/abs/2611.00541
License (as archived): CC0-1.0
Archived: 2026-11-03T19:06:38.459Z
SHA-256 of the archived text: 138dd39ff609abab435de93d59e18948bd498fccba83a68be446fd3b1b96bb66
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How to cite

Exact scalarization thresholds and onset laws for a nonminimally coupled scalar field on the Ellis wormhole — arXiv:2611.00541 — arXiv (en), https://arxiv.org/abs/2611.00541 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_bc14ebccaa1d (Metraipolis archive dc_bc14ebccaa1d, sha256 138dd39ff609abab435de93d59e18948bd498fccba83a68be446fd3b1b96bb66)

BibTeX

@misc{dcbc14ebccaa1d,
  title = {Exact scalarization thresholds and onset laws for a nonminimally coupled scalar field on the Ellis wormhole — arXiv:2611.00541},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2611.00541},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_bc14ebccaa1d; sha256 138dd39ff609abab435de93d59e18948bd498fccba83a68be446fd3b1b96bb66},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2611.00541. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

We study a real scalar field nonminimally coupled to curvature on a fixed Ellis wormhole background. The scalar perturbation decouples at linear order, and the substitution $ x=a \tan z $ reduces its static radial equation to a trigonometric Pöschl-Teller problem. This yields the exact threshold spectrum $ \zeta_{n\ell}=(n+\ell+1)^2/2 $, closed-form Gegenbauer profiles, and an exact count of negative radial eigenvalues in each angular sector. The s-wave thresholds are zero-energy resonances at which the growth rate rises linearly, whereas the $ \ell \geq1\ $ threshold states are square integrable and the growth rate rises as a square root. At the first threshold we also obtain the next-order term, $ \sigma a=(\pi/4)g-(3\pi/16)g^2+O(g^3) $ with $g=2\zeta-1 $. For a probe field with quartic self-interaction, we show that no nontrivial spherical static solution exists for $\zeta\leq1/2 $ and derive local branch expansions near the s-wave thresholds. Numerical evolutions are consistent with saturation on the nodeless branch. These nonlinear results refer to the probe-field model; they do not establish the existence or stability of fully backreacted scalarized wormholes.

Tema degli esploratori: fisica e astronomia (elenco arXiv gr-qc, nuovi lavori del giorno).
Categorie arXiv: General Relativity and Quantum Cosmology (gr-qc) ; High Energy Physics - Theory (hep-th); Mathematical Physics (math-ph).
Pagina del lavoro: https://arxiv.org/abs/2611.00541 — 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 2026-11-03T18:23:07.780Z dalla pagina https://arxiv.org/list/gr-qc/new (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).