Metraipolis › archive › dc_a73fbb68cd9d

Spherically-symmetric solutions with internal Ricci-flat spaces in Brans-Dicke theory — arXiv:2611.01691

Source: arXiv (en)
Original: https://arxiv.org/abs/2611.01691
License (as archived): CC0-1.0
Archived: 2026-11-03T19:06:43.234Z
SHA-256 of the archived text: f9fa7609f2f8ac60ef579bd22a1d778405e10d6acd12aff560ff2a3cc57148d3
Stable URL of this page: https://metraipolis.com/documento/dc_a73fbb68cd9d

How to cite

Spherically-symmetric solutions with internal Ricci-flat spaces in Brans-Dicke theory — arXiv:2611.01691 — arXiv (en), https://arxiv.org/abs/2611.01691 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_a73fbb68cd9d (Metraipolis archive dc_a73fbb68cd9d, sha256 f9fa7609f2f8ac60ef579bd22a1d778405e10d6acd12aff560ff2a3cc57148d3)

BibTeX

@misc{dca73fbb68cd9d,
  title = {Spherically-symmetric solutions with internal Ricci-flat spaces in Brans-Dicke theory — arXiv:2611.01691},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2611.01691},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_a73fbb68cd9d; sha256 f9fa7609f2f8ac60ef579bd22a1d778405e10d6acd12aff560ff2a3cc57148d3},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2611.01691. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

We construct a new family of exact spherically symmetric solutions in $D$-dimensional Brans-Dicke theory with $n$ internal Ricci-flat spaces. The spacetime is assumed to be a product of a four-dimensional spherical sector and $n$ Ricci-flat internal manifolds. By performing a conformal transformation to the Einstein frame, the problem is reduced to Einstein gravity with a minimally coupled scalar field, for which the exact solution is already known. Applying the inverse transformation to the Jordan frame yields explicit expressions for the metric and the Brans-Dicke scalar field, together with a generalized algebraic constraint on the exponents. The obtained solutions generalize the four-dimensional Brans solutions and the multidimensional solutions with Ricci-flat internal spaces. We analyze the causal structure of the four-dimensional section and derive the necessary condition for the surface $R=L$ to be an event horizon, $\nu \equiv \left|a+b+\frac12\sum_i a_iN_i\right| \ge 1$. A Kretschmann-scalar analysis shows that, apart from the Schwarzschild limit and the case of frozen internal spaces, a regular horizon is generically absent when the extra dimensions are dynamical. For the four-dimensional section we also obtain the photon-sphere and ISCO radii and discuss their Schwarzschild limits. The results clarify the role of nonminimal Brans-Dicke coupling in multidimensional black-hole geometries with Ricci-flat internal factors.

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/2611.01691 — 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 2026-11-03T18:23:07.794Z dalla pagina https://arxiv.org/list/gr-qc/new (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).