Does General Relativity Require a Metric
Abstract
The nexus between the gravitational field and the spacetime metric was an essential element in Einstein's development of General Relativity and led him to his discovery of the field equations for the gravitational field/metric. I will argue here that the metric is in fact an inessential element of this theory and can be dispensed with entirely. Its sole function in the theory was to describe the spacetime measurements made by ideal clocks and rods. However, the behavior of model clocks and measuring rods can be derived directly from the field equations of General Relativity using the EinsteinInfeldHoffmann (EIH) approiximation procedure. Therefore one does not need to introduce these ideal clocks and rods and hence has no need of a metric.
 Publication:

arXiv eprints
 Pub Date:
 December 1999
 arXiv:
 arXiv:grqc/9912051
 Bibcode:
 1999gr.qc....12051A
 Keywords:

 General Relativity and Quantum Cosmology
 EPrint:
 4 pages