München 2019 – wissenschaftliches Programm

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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 9: Quantengravitation (joint session MP/GR)

MP 9.4: Vortrag

Mittwoch, 20. März 2019, 18:30–18:50, HS 4

Canonical cosmological perturbation theory with geometrical clocks — •Kristina Giesel¹, Adrian Herzog¹, and Parampreet Singh² — ¹FAU Erlangen-Nuernberg, Institut fuer Theoretische Physik III, 91058 Erlangen — ²Louisiana State University, Baton Rouge, Louisiana, USA

We apply the extended ADM-phase space formulation originally introduced by Pons et al to canonical cosmological perturbation theory and analyze the relationship between various gauge choices made in this framework and the choice of geometrical clocks in the relational formalism. We show that various gauge invariant variables obtained in the conventional analysis of cosmological perturbation theory correspond to Dirac observables tied to a specific choice of geometrical clocks. As examples, we show that the Bardeen potentials and the Mukhanov-Sasaki variable emerge naturally in our analysis as observables when gauge fixing conditions are determined via clocks in the Hamiltonian framework. Furthermore, we will show that the extended ADM phase space provides a framework in which the relation between conventional and canonical cosmological perturbation theory can be naturally analyzed and how existing results in the canonical approach can be generalized.