Year: 2025
Type: article
Abstract: The properties of the Melvin-type spacetime with a positive cosmological constant Λ in d-dimensional Einstein–Maxwell gravity is studied. The solution is parametrised in terms of the ‘de Sitter radius’ ℓ ∝ Λ − 1 / 2 and the magnetic field parameter β, and they are warped products of the form R 1 , d − 3 × S 2 , where R 1 , d − 3 is the ( d − 2 ) -dimensional Minkowski spacetime and S 2 is topologically a two-sphere which contains a conical singularity, whose nature depends on the product β ℓ . In the limit ℓ → ∞ , the S 2 decompactifies and the d-dimensional Melvin Universe is recovered. The Freund–Rubin-type flux compactification model is shown to be another particular limit of this solution. We also calculate the flux and geodesics in this spacetime.
Source: Classical and Quantum Gravity
Authors: Yu-Xuan Toh, Yun-Ten Chin, Ethan Quanrun Wu, Yen-Kheng Lim
Institution: Xiamen University Malaysia
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,325
Funder: Xiamen University
OpenAlex ID: W4413459667