Vainshtein radius

{{Short description|Special radius in gravitational physics}}Inside the Vainshtein radius{{cite journal|title=To the problem of nonvanishing gravitation mass|last=Vainshtein|first=Arkady|journal=Physics Letters B|volume=39|page=393|date=1972|issue=3 |doi=10.1016/0370-2693(72)90147-5|bibcode=1972PhLB...39..393V}}; see also {{cite journal |title=Nonperturbative Continuity in Graviton Mass versus Perturbative Discontinuity|last=Vainshtein|arxiv=hep-th/0106001|date=2001|display-authors=etal|doi=10.1103/PhysRevD.65.044026|volume=65|journal=Physical Review D|issue=4 |page=044026 |bibcode=2002PhRvD..65d4026D}}

:$r\_V\; =\; l\_\backslash text\{P\}\backslash left(\; \backslash frac\{m\_\backslash text\{P\}^3M\}\{m^4\_G\}\; \backslash right)^\backslash frac\{1\}\{5\}$

:with Planck length $l\_\backslash text\{P\}$ and Planck mass $m\_\backslash text\{P\}$

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 $r\; \backslash gg\; r\_V$.{{cite book|last=Zee|first=Anthony|title=Quantum Field Theory in a Nutshell|edition=2nd|page=440}}