Robustness of the Cosmological Constant Damping Mechanism Through Matter
  Eras
  A dynamical resolution to the cosmological constant fine-tuning problem has
been previously put forward, based on a scalar-tensor gravitational theory
possessing de Sitter attractor solutions characterized by a small Hubble
expansion rate, irrespective of an initially large vacuum energy. We show that
a technically natural subregion of the parameter space yields a cosmological
evolution through radiation- and matter-dominated eras that is essentially
indistinguishable from that predicted by General Relativity. Similarly, the
proposed model automatically satisfies the observational constraints on a fifth
force mediated by the new scalar degree of freedom.
