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We address the issue of black hole scalarization and its compatibility withcosmic inflation and big bang cosmology from an effective field theory (EFT)point of view. In practice, using a well-defined and healthy toy model which(in part) has been broadly considered in the literature, we consider howhigher-order theories of gravity, up to cubic operators in Riemann curvature,fit within this context. Interestingly enough, we find that already at thisminimal level, there is a non-trivial interplay between the Wilson coefficientswhich are otherwise completely independent, constraining the parameter spacewhere scalarization may actually occur. Conclusively, we claim that the EFTdoes exhibit black hole scalarization, remaining compatible with theinflationary paradigm, and admitting General Relativity as a cosmologicalattractor.

EFT Approach to Black Hole Scalarization and its Compatibility with Cosmic Evolution