A covariant framework reveals non-closed scalar charges with bulk contributions in ESGB black holes that become closed under shift symmetry and interpret spontaneous scalarization via the Smarr formula.
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Maxwell theory with auxiliary fields for the coupling constant breaks symmetries that BFT restores, making the original theory a gauge-fixed version of the extended symmetric theory.
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Non-closed scalar charge in four-dimensional Einstein-scalar-Gauss-Bonnet black hole thermodynamics
A covariant framework reveals non-closed scalar charges with bulk contributions in ESGB black holes that become closed under shift symmetry and interpret spontaneous scalarization via the Smarr formula.
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Extended symmetry of the Maxwell theory with a gauge coupling constant as a conserved charge
Maxwell theory with auxiliary fields for the coupling constant breaks symmetries that BFT restores, making the original theory a gauge-fixed version of the extended symmetric theory.