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A Charged Compact Star Solution for a Conducting Sphere — arXiv:2610.42051

Source: arXiv (en)
Original: https://arxiv.org/abs/2610.42051
License (as archived): CC0-1.0
Archived: 2026-11-03T08:30:47.891Z
SHA-256 of the archived text: e0b9224f58f7f5d378211b5cd34a8d00e04c9d814bbe39b76c73fb270585d631
Stable URL of this page: https://metraipolis.com/documento/dc_85dbff60341c

How to cite

A Charged Compact Star Solution for a Conducting Sphere — arXiv:2610.42051 — arXiv (en), https://arxiv.org/abs/2610.42051 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_85dbff60341c (Metraipolis archive dc_85dbff60341c, sha256 e0b9224f58f7f5d378211b5cd34a8d00e04c9d814bbe39b76c73fb270585d631)

BibTeX

@misc{dc85dbff60341c,
  title = {A Charged Compact Star Solution for a Conducting Sphere — arXiv:2610.42051},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2610.42051},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_85dbff60341c; sha256 e0b9224f58f7f5d378211b5cd34a8d00e04c9d814bbe39b76c73fb270585d631},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2610.42051. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

This paper considers the simplest charged stellar model, namely, a uniform density star with electric charge distributed on its surface. In this model, we treat the uniform density star as a conducting sphere, where all electric charges are uniformly distributed on the surface and represented by a delta function. We obtain an analytical solution for the background metric of the star spacetime and find that the pressure of the perfect fluid inside the star is directed inward (negative pressure) near the inner surface. This is because the repulsive force between surface electric charges requires an inward pressure to maintain equilibrium. However, when the charge becomes too large, the pressure of the ideal fluid at the stellar center gets directed outwards again. This is because the electric field itself is also a part of the stress energy tensor $T_{\mu\nu}$, acting as a source of gravity. When the gravitational effect of the electric field dominates, the perfect fluid must provide outward pressure to balance the inward gravitational attraction. On the other hand, we have also studied the axial perturbation in charged spacetimes using the finite difference method. We found that axial Maxwell perturbation and axial gravitational perturbation are coupled in the star spacetime, making it difficult to separate the variables by coordinate transformation. The computational results show that the waveforms of quasinormal modes vary with different charges.

Tema degli esploratori: fisica e astronomia (elenco arXiv gr-qc, nuovi lavori del giorno).
Categorie arXiv: General Relativity and Quantum Cosmology (gr-qc).
Pagina del lavoro: https://arxiv.org/abs/2610.42051 — 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 2026-11-03T08:12:53.983Z dalla pagina https://arxiv.org/list/gr-qc/new (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).