Implications from Different Regularisations for the Canonically Quantised k=1 FLRW Spacetime

Weigl S, Giesel K, Liegener K (2018)

Publication Language: English

Publication Type: Thesis

Publication year: 2018

Abstract

In this work we present the regularisation of the Hamiltonian constraints in the context of the canonical description of general relativity (GR). We will start with the Hamiltonian formulation of GR and then introduce the Ashtekar-Barbero variables. After investigating the gauge trans- formations generated by the Hamiltonian constraints we present the holonomy-flux algebra where we also regularise the constraints. We will give a full derivation of the FLRW metric and then conclusively perform a regularisation for k=1 on spherical graphs.

Authors with CRIS profile

Stefan Weigl Chair for Theoretical Physics III (Quantum Gravity) Kristina Giesel Professur für Theoretische Physik Klaus Liegener Chair for Theoretical Physics III (Quantum Gravity)

How to cite

APA:

Weigl, S., Giesel, K., & Liegener, K. (2018). Implications from Different Regularisations for the Canonically Quantised k=1 FLRW Spacetime (Bachelor thesis).

MLA:

Weigl, Stefan, Kristina Giesel, and Klaus Liegener. Implications from Different Regularisations for the Canonically Quantised k=1 FLRW Spacetime. Bachelor thesis, 2018.

BibTeX: Download