Black hole minimum size and scalar charge in shift-symmetric theories. (English) Zbl 1517.83052
Summary: It is known that, for shift-symmetric scalars, only a linear coupling with the Gauss-Bonnet (GB) invariant can introduce black hole hair. Such hairy black holes have a minimum mass, determined by the coupling of this interaction, and a scalar charge that is uniquely determined by their mass and spin for a fixed value of that coupling. Here we explore how additional shift-symmetric interactions affect the structure of the black hole, the value of the minimum mass, and the scalar charge.
MSC:
| 83C57 | Black holes |
| 83D05 | Relativistic gravitational theories other than Einstein’s, including asymmetric field theories |
| 83C60 | Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism |
| 22E70 | Applications of Lie groups to the sciences; explicit representations |
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