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Exact solutions to Einstein–Maxwell theory on Eguchi–Hanson space

2016/06/30 by A. M. Ghezelbash, V. Kumar, V. V. K. Srinivas Kumar
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Constant (computer programming) #Cosmological constant #Cosmology and Gravitation Theories #Einstein #Exact solutions in general relativity #Geometric Analysis and Curvature Flows #Mathematical analysis #Mathematical physics #Mathematics #Metric (unit) #Physics #Quantum mechanics #Space (punctuation) #Subspace topology #Theoretical physics #gr-qc

paper · pdf · doi:10.1142/s0217751x17500981

published as Int. J. Mod. Phys. A, 32, 1750098 (2017) · 13 pages, 2 figures, typos corrected

arxiv created 2017/03/26 · openalex publication_date 2017/06/13 · arxiv updated 2017/09/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

In this paper, we construct explicit analytical exact solutions to the six and higher-dimensional Einstein–Maxwell theory. In all solutions, a subspace of the metric is the Eguchi–Hanson space where the metric functions are completely determined in terms of known analytical functions. Moreover, we find the solutions can be extended from nonstationary exact solutions to Einstein–Maxwell theory with cosmological constant. We show that the solutions are asymptotically expanding patches of de Sitter space–time.

Citations