Two extremal black holes with secondary scalar hair are identified in a two-U(1) Einstein-Maxwell-scalar theory using scalarization and entropy function methods, implying primary hair is difficult to obtain.
Testing Effective String Models of Black Holes with Fixed Scalars
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abstract
We solve the problem of mixing between the fixed scalar and metric fluctuations. First, we derive the decoupled fixed scalar equation for the four-dimensional black hole with two different charges. We proceed to the five-dimensional black hole with different electric (1-brane) and magnetic (5-brane) charges, and derive two decoupled equations satisfied by appropriate mixtures of the original fixed scalar fields. The resulting greybody factors are proportional to those that follow from coupling to dimension (2,2) operators on the effective string. In general, however, the string action also contains couplings to chiral operators of dimension (1,3) and (3,1), which cause disagreements with the semiclassical absorption cross-sections. Implications of this for the effective string models are discussed.
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gr-qc 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
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Scalarized extremal black holes in the Einstein-Maxwell-scalar theory with two U(1) fields
Two extremal black holes with secondary scalar hair are identified in a two-U(1) Einstein-Maxwell-scalar theory using scalarization and entropy function methods, implying primary hair is difficult to obtain.