An Ostrogradsky instability analysis of non-minimally coupled Weyl connection gravity theories

• Type: Article in International Scientific Journal
• Date: 2021

Authors

Baptista, R (Author) Other; Bertolami, O (Author) FCUP

Journal

Title: General Relativity and Gravitation

Vol. 53

ISSN: 0001-7701

Publisher: Springer Nature

Indexing

ISI Web of Knowledge - 4 Citations

Scopus - 2 Citations

Other information

Authenticus ID: P-00T-AVZ

DOI: 10.1007/s10714-021-02784-5

Abstract (EN): 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 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.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 11