2025/09/01 by Toh, Yu-Xuan, Chin, Yun-Ten, Wu, Ethan Quanrun +1
#FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th)
paper · doi:10.48550/arxiv.2509.01374
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 ℝ1,d-3× S2, where ℝ1,d-3 is the (d-2)-dimensional Minkowski spacetime and S2 is topologically a two-sphere which contains a conical singularity, whose nature depends on the product βℓ. In the limit ℓ→∞, the S2 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.