Vainshtein radius explained

Inside the Vainshtein radius[1]

rV=lP\left(

3M
m
P
4
m
G
1
5
\right)

lP

and Planck mass

mP

the gravitational field around a body of mass

M

is the same in a theory where the graviton mass

mG

is zero and where it's very small because the helicity 0 degree of freedom becomes effective on distance scales

r\ggrV

.[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.