A gravity term from spontaneous symmetry breaking

Abstract

In this model, the gravity term in the Lagrangean comes from spontaneous symmetry breaking of an additional scalar quadruplet field ${\rm Y}$. The resulting gravitational field is approximate to one of the models of coframe gravity with parameters ${\rho }_1+4{\rho }_2=0$, ${\rho }_3=0$. This article includes an exact solution of coframe gravity with model parameters ${\rho }_1\ne 0$, ${\rho }_2$ any, ${\rho }_3=0$, which is Newtonian at infinity. An iteration process is given to construct a solution for a given matter-radiation stress-energy tensor.

Forgot to calculate the variation of the Hodge operator. When calculated correctly, it is not Newtonian at infinity