Affine ANEC obstructs non-static flat and open FRW from being null geodesically complete while ANEC-satisfying, but allows explicit scalar-field realizations for closed FRW with NEC-respecting matter.
For admissible parameters (31) gives ˙ϕ2 ≥ 0, so ρ + p≥ 0 (NEC) and ρ≥ 0 (WEC) hold, with possible saturation at isolated points in the boundary case
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Affine ANEC selects the closed FRW branch for geodesically complete cosmology
Affine ANEC obstructs non-static flat and open FRW from being null geodesically complete while ANEC-satisfying, but allows explicit scalar-field realizations for closed FRW with NEC-respecting matter.