Lorentzian Gromov Hausdorff theory as a tool for quantum gravity kinematics

Details Lorentzian Gromov Hausdorff theory as a tool for quantum gravity kinematics Lorentzian Gromov Hausdorff theory as a tool for quantum gravity kinematics

2004-01-30

arxiv.org/abs/gr-qc/0401126v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

143 pages, 20 figures, PhD thesis Gent University

Scientific paper

This thesis start by a review of different approaches to classical and quantum gravity. The main theme is Lorentzian Gromov Hausdorff theory which is an active diffeomorphism invariant theory on the space of Lorentz spaces (think about globally hyperbolic spacetimes). It is argued why such theory might be of significant importance for Lorentzian approaches to quantum gravity such as causal set theory and Lorentzian dynamical triangulations

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