A generalized Komar charge constructed via Lagrange multiplier promotion of the coupling constant yields a Smarr formula including that constant's contribution for asymptotically flat black hole and soliton solutions in Einstein-NLED theories, with application to the Bardeen regular black hole.
Covariant conservation laws in general relativity
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Generalized Komar charges vanish for supersymmetric Killing vectors in N=2 d=4, N=1 d=5 and N=1 d=10 supergravities, enabling rigorous coordinate-independent proofs of BPS bounds.
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Derivation of the Smarr formula from the Komar charge in Einstein-nonlinear electrodynamics theories and applications to regular black holes
A generalized Komar charge constructed via Lagrange multiplier promotion of the coupling constant yields a Smarr formula including that constant's contribution for asymptotically flat black hole and soliton solutions in Einstein-NLED theories, with application to the Bardeen regular black hole.
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On the generalized Komar charge of supersymmetric solutions
Generalized Komar charges vanish for supersymmetric Killing vectors in N=2 d=4, N=1 d=5 and N=1 d=10 supergravities, enabling rigorous coordinate-independent proofs of BPS bounds.