Geometrodynamics: Spacetime or Space ?

Abstract

This thesis concerns the split of Einstein's field equations (EFE's) with respect to nowhere null hypersurfaces. Areas covered include A) the foundations of relativity, deriving geometrodynamics from relational first principles and showing that this form accommodates a sufficient set of fundamental matter fields to be classically realistic, alternative theories of gravity that arise from similar use of conformal mathematics. B) GR Initial value problem (IVP) methods, the badness of timelike splits of the EFE's and studying braneworlds under guidance from GR IVP and Cauchy problem methods.

Thesis, University of London, Examined in June by Prof Chris Isham and Prof James Vickers. 226 pages including 21 figures

References in corpus (3)

• A first-principles derivation of York scaling and the Lichnerowicz-York equation
• Gravity on Conformal Superspace
• Spacetime or Space and the Problem of Time

Cited by in corpus (15)

• The physical gravitational degrees of freedom
• Foundations of Relational Particle Dynamics
• New interpretation of variational principles for gauge theories. I. Cyclic coordinate alternative to ADM split
• Triangleland. I. Classical dynamics with exchange of relative angular momentum
• Classical Machian Resolution of the Spacetime Reconstruction Problem
• Relational Particle Models. II. Use as toy models for quantum geometrodynamics
• Records Theory
• Does relationalism alone control geometrodynamics with sources?
• Approaching the Problem of Time with a Combined Semiclassical-Records-Histories Scheme
• Triangleland. II. Quantum Mechanics of Pure Shape
• On the Semiclassical Approach to Quantum Cosmology
• Yet another time about time - Part I
• The Campbell--Magaard Theorem is inadequate and inappropriate as a protective theorem for relativistic field equations
• Leibniz--Mach foundations for GR and fundamental physics
• On the recovery of geometrodynamics from two different sets of first principles