Is the Graviton a Goldstone Boson?

A theory is outlined in which Lorentz invariance is spontaneously violated, giving rise to a constant vector field λ^μ. The two quantities which are most simply related to λ^μ are the gravitational constant G and the decay rate of K₂^_⁰→2π, assuming that the latter will eventually show an energy dependence. Using a method suggested by Bjorken for electrodynamics, we conclude that the model may support a graviton, and determine the order of magnitude of G. A simple argument relates the K₂^_⁰ decay to G; the agreement with experiment is good.