Classification of Primary Constraints of Quadratic Non-Metricity Theories of Gravity

Abstract

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.

8 pages, 3 tables, 1 figure

References in corpus (1)

• ADM formulation and Hamiltonian analysis of Coincident General Relativity

Cited by in corpus (8)

• Black holes in $f(\mathbb{Q})$ Gravity
• Post-Newtonian limit of generalized symmetric teleparallel gravity
• ADM formulation and Hamiltonian analysis of $f(Q)$ gravity
• Conserved quantities in STEGR and applications
• Parametrized post-Newtonian limit of generalized scalar-nonmetricity theories of gravity
• The Hamiltonian constraint in the symmetric teleparallel equivalent of general relativity
• Weak Gravity Limit in Newer General Relativity
• Degrees of freedom of a quadratic scalar-nonmetricity theory