Classification of primary constraints of quadratic non-metricity theories of gravity

Open access
Date
2021Type
- Journal Article
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. Show more
Permanent link
https://doi.org/10.3929/ethz-b-000472825Publication status
publishedExternal links
Journal / series
Journal of High Energy PhysicsVolume
Pages / Article No.
Publisher
SpringerSubject
Classical Theories of Gravity; Cosmology of Theories beyond the SMOrganisational unit
09662 - Heisenberg, Lavinia / Heisenberg, Lavinia
Funding
179740 - Multimessenger constraints of modified gravity (SNF)
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