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Nonexistence of multiple black holes in static space-times and weakly harmonic curvature

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Abstract

In this paper, we prove that there are no multiple black holes in an n-dimensional static vacuum space-time having weakly harmonic curvature unless the Ricci curvature is trivial.

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Correspondence to Gabjin Yun.

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Seungsu Hwang was supported by the Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (Grant No. 2010-0010792), Jeongwook Chang by the Ministry of Education, Science and Technology (Grant No. 2010-0011310), and Gabjin Yun by the Ministry of Education, Science and Technology (Grant No. 2011-0007465).

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Hwang, S., Chang, J. & Yun, G. Nonexistence of multiple black holes in static space-times and weakly harmonic curvature. Gen Relativ Gravit 48, 120 (2016). https://doi.org/10.1007/s10714-016-2112-8

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  • DOI: https://doi.org/10.1007/s10714-016-2112-8

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