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An Ostrogradsky Instability Analysis of Non-minimally Coupled Weyl Connection Gravity Theories
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An Ostrogradsky Instability Analysis of Non-minimally Coupled Weyl Connection Gravity Theories
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We study the Hamiltonian formalism of the non-minimally coupled Weyl connection gravity (NMCWCG) in order to check whether Ostrogradsky instabilities are present. The Hamiltonian of the NMCWCG theories is obtained by foliating space-time into a real line (representing time) and \mbox{3-dimensional} space-like hypersurfaces, and by considering the spatial metric and the extrinsic curvature of the hypersurfaces as the canonical coordinates of the theory. Given the fact that the theory we study contains an additional dynamical vector field compared to the usual NMC models, which do not have Ostrogradsky instabilities, we are able to construct an effective theory without these instabilities, by constraining this Weyl field.
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Cited by 1 Pith paper
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On Scalar Cosmological Perturbations in Non-Minimally Coupled Weyl Connection Gravity
Derives cosmological field equations and preliminary scalar perturbation equations for a non-minimally coupled Weyl-connection gravity model that introduces non-metricity to mimic dark sectors.
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