3+1 Formulation of the Standard-Model Extension Gravity Sector

Understand

We present a 3+1 formulation of the effective field theory framework called the Standard-Model Extension in the gravitational sector.

• The explicit local Lorentz and diffeomorphism symmetry breaking assumption is adopted and we perform a Dirac-Hamiltonian analysis.
• We show that the structure of the dynamics presents significant differences from General Relativity and other modified gravity models.
• We explore Hamilton's equations for some special choices of the coefficients.