Physics:Vainshtein radius
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Short description: Special radius in gravitational physics
Inside the Vainshtein radius[1]
- [math]\displaystyle{ r_V = l_\text{P}\left( \frac{m_\text{P}^3M}{m^4_G} \right)^\frac{1}{5} }[/math]
- with Planck length [math]\displaystyle{ l_\text{P} }[/math] and Planck mass [math]\displaystyle{ m_\text{P} }[/math]
the gravitational field around a body of mass [math]\displaystyle{ M }[/math] is the same in a theory where the graviton mass [math]\displaystyle{ m_G }[/math] is zero and where it's very small because the helicity 0 degree of freedom becomes effective on distance scales [math]\displaystyle{ r \gg r_V }[/math].[2]
See also
- Physics:Massive gravity – Theory of gravity in which the graviton has nonzero mass
References
- ↑ Vainshtein, Arkady (1972). "To the problem of nonvanishing gravitation mass". Physics Letters B 39: 393. doi:10.1016/0370-2693(72)90147-5. Bibcode: 1972PhLB...39..393V.; see also Vainshtein (2001). "Nonperturbative Continuity in Graviton Mass versus Perturbative Discontinuity". Physical Review D 65. doi:10.1103/PhysRevD.65.044026. Bibcode: 2002PhRvD..65d4026D.
- ↑ Zee, Anthony. Quantum Field Theory in a Nutshell (2nd ed.). p. 440.
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