Null Cones and Einstein's Equations in Minkowski Spacetime

Details Null Cones and Einstein's Equations in Minkowski Spacetime Null Cones and Einstein's Equations in Minkowski Spacetime

2004-06-25

arxiv.org/abs/gr-qc/0406102v1

Found.Phys. 34 (2004) 211

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Scientific paper

10.1023/B:FOOP.0000019582.44548.

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 Segr\'{e} 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.

Affiliated with

Also associated with

No associations

Rating

Null Cones and Einstein's Equations in Minkowski Spacetime does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Null Cones and Einstein's Equations in Minkowski Spacetime, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Null Cones and Einstein's Equations in Minkowski Spacetime will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-206320