München 2019 – wissenschaftliches Programm
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GR: Fachverband Gravitation und Relativitätstheorie
GR 9: Quantum Gravity (joint session MP/GR)
GR 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.