3+1 Formulation of the Standard-Model Extension Gravity Sector
Kellie O'Neal-Ault,
Quentin G. Bailey,
Nils A. Nilsson
Abstract: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. Our main application is cosmology and… Show more
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