Null Cones and Einstein's Equations in Minkowski Spacetime

Foundations of Physics 34 (2):211-238 (2004)
  Copy   BIBTEX


If Einstein's equations are to describe a field theory of gravity in Minkowski spacetime, then causality requires that the effective curved metric must respect the flat background metric's null cone. The kinematical problem is solved using a generalized eigenvector formalism based on the Segré classification of symmetric rank 2 tensors with respect to a Lorentzian metric. Securing the correct relationship between the two null cones dynamically plausibly is achieved using the naive gauge freedom. New variables tied to the generalized eigenvector formalism reduce the configuration space to the causality-respecting part. In this smaller space, gauge transformations do not form a group, but only a groupoid. The flat metric removes the difficulty of defining equal-time commutation relations in quantum gravity and guarantees global hyperbolicity.



    Upload a copy of this work     Papers currently archived: 89,311

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles

The Hamiltonian of general relativity on a null surface.J. N. Goldberg - 1984 - Foundations of Physics 14 (12):1211-1216.
Dirac brackets for general relativity on a null cone.Joshua N. Goldberg - 1985 - Foundations of Physics 15 (4):439-450.
Self-dual Maxwell field on a null surface. II.Joshua N. Goldberg - 1994 - Foundations of Physics 24 (4):467-476.
Aesthetic fields—Null theory II.M. Muraskin - 1982 - Foundations of Physics 12 (1):93-100.
Turing cones and set theory of the reals.Benedikt Löwe - 2001 - Archive for Mathematical Logic 40 (8):651-664.
Aesthetic fields—Null theory.M. Muraskin - 1980 - Foundations of Physics 10 (11-12):887-903.


Added to PP

56 (#251,611)

6 months
5 (#237,114)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

J. Brian Pitts
University of Lincoln

References found in this work

Differential forms in general relativity.W. Israel - 1970 - Dublin,: Dublin Institute for Advanced Studies.

Add more references