Effective cosmological constant as black hole primary hair
Phys. Rev. D 113, 124063 – Published 22 June, 2026
DOI: https://doi.org/10.1103/4sn9-hbhc
Abstract
We study generalized Proca theories inspired by the recent regularized Proca theory of four-dimensional Gauss-Bonnet gravity. By abandoning the rigid constraints typically imposed by specific regularization schemes, we treat the coefficients of the terms in the action as free parameters. This approach uncovers a broader solution space that admits static and spherically symmetric black hole solutions characterized by primary hair, where, surprisingly, the cosmological constant arises naturally as a constant of integration even in the absence of a bare cosmological term.
