Vainshtein radius explained

Inside the Vainshtein radius^[1]

r _{V} = l _{P\left(} (m ^{3 M} _{P})/(m ^{4} _{G}) \right) ^{(1)/(5)} l _{P} and Planck mass m _{P}

the gravitational field around a body of mass

M is the same in a theory where the graviton mass m _{G} is zero and where it's very small because the helicity 0 degree of freedom becomes effective on distance scales r \gg r _{V} .^[2]

Notes and References

1. To the problem of nonvanishing gravitation mass. Vainshtein. Arkady. Physics Letters B. 39. 393. 1972. 3 . 10.1016/0370-2693(72)90147-5. 1972PhLB...39..393V.

   see also Nonperturbative Continuity in Graviton Mass versus Perturbative Discontinuity. Vainshtein. hep-th/0106001. 2001. etal. 10.1103/PhysRevD.65.044026. 65. Physical Review D. 4 . 044026 . 2002PhRvD..65d4026D.

2. Book: Zee, Anthony. Quantum Field Theory in a Nutshell. 2nd. 440.