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Bogomol’nyi-type mass formulas for a class of nonrotating black holes

Bogomol’nyi-type mass formulas for a class of nonrotating black holes

In the presence of a Killing symmetry, various self-gravitating field theories with massless scalars (moduli) and vector fields reduce to $\ensuremath{\sigma}$ models, effectively coupled to three-dimensional gravity. We argue that this particular structure of the Einstein-matter equations gives rise to quadratic relations between the asymptotic flux integrals and the area …