Static black holes in higher dimensional Einstein-Skyrme models

Bobby E. Gunara, Fiki T. Akbar, Rizqi Fadli, Deden M. Akbar, Hadi Susanto

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


In this paper we construct a class of hairy static black holes of higher dimensional Einstein-Skyrme theories with the cosmological constant Λ ≤ 0 whose scalar is an SU(2) valued field. The spacetime is set to be conformal to M4 × NN−4 where M4 and NN−4 are a four dimensional spacetime and a compact Einstein (N − 4)-dimensional submanifold for N ≥ 5, respectively, whereas N = 4 is the trivial case. We discuss the behavior of solutions near the boundaries, namely, near the (event) horizon and in the asymptotic region. Then, we establish local-global existence of black hole solutions and show that black holes with finite energy exist if their geometries are asymptotically Ricci flat.

Original languageBritish English
Pages (from-to)507-541
Number of pages35
JournalAdvances in Theoretical and Mathematical Physics
Issue number2
StatePublished - 2021


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