Classification of primary constraints of quadratic non-metricity theories of gravity
Fabio D’Ambrosio, Lavinia Heisenberg
Abstract
A bstract We perform the ADM decomposition of a five-parameter family of quadratic non-metricity theories and study their conjugate momenta. After systematically identifying all possible conditions which can be imposed on the parameters such that different sets of primary constraints arise, we find that the five-parametric theory space can be compartmentalized into nine different sectors, based on the presence or absence of primary constraints. This classification allows to dismiss certain classes of theories as unphysical and invites further investigations into the remaining sectors, which may contain phenomenologically interesting modifications of General Relativity.
Topics & Concepts
Quadratic equationDecompositionGeneral relativityMathematicsPrimary (astronomy)GravitationTheoretical physicsSpace (punctuation)Parametric statisticsBasis (linear algebra)Constraint (computer-aided design)PhysicsClassical mechanicsComputer scienceQuantum mechanicsStatisticsGeometryEcologyBiologyOperating systemCosmology and Gravitation TheoriesBlack Holes and Theoretical PhysicsGeophysics and Gravity Measurements