23 citations · 45 across the 6 of their papers we have counts for
6 papers · 1 filter
Geometrodynamics: Spacetime or Space ?
E. Anderson
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 ge…
The Campbell--Magaard Theorem is inadequate and inappropriate as a protective theorem for relativistic field equations
E. Anderson
Given a particular prescription for the Einstein field equations (EFE's), it is important to have general protective theorems that lend support to it. The prescription of data on a…
Leibniz--Mach foundations for GR and fundamental physics
Edward Anderson
Consider the configuration space Q for some physical system, and a continuous group of transformations G whose action on the configurations is declared to be physically irrelevant.…
A first-principles derivation of York scaling and the Lichnerowicz-York equation
Edward Anderson, Julian Barbour, Brendan Z. Foster +2
The only efficient and robust method of generating consistent initial data in general relativity is the conformal technique initiated by Lichnerowicz and perfected by York. In the…
Spacetime or Space and the Problem of Time
Edward Anderson
GR and other theories have been obtained from 3-space rather than spacetime principles. I explore consequences of this as regards the Problem of Time.
PDE System Approach to Large Extra Dimensions
Edward Anderson, Reza Tavakol
We explore some fundational issues regarding the splitting of D-dimensional EFE's w.r.t timelike and spacelike (D-1)-dimensional hypersurfaces, first without and then with thin mat…