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All electrovacuum Majumdar-Papapetrou spacetimes with non-singular black holes

All electrovacuum Majumdar-Papapetrou spacetimes with non-singular black holes

We show that all Majumdar-Papapetrou electrovacuum spacetimes with a non-empty black-hole region and with a non-singular domain of outer communications are the standard Majumdar-Papapetrou spacetimes.