The causal structure of spacetime is a parameterized Randers geometry

Details The causal structure of spacetime is a parameterized Randers geometry The causal structure of spacetime is a parameterized Randers geometry

2010-12-20

arxiv.org/abs/1012.4467v1

Class.Quant.Grav.28:065007,2011

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages

Scientific paper

10.1088/0264-9381/28/6/065007

There is a by now well-established isomorphism between stationary 4-dimensional spacetimes and 3-dimensional purely spatial Randers geometries - these Randers geometries being a particular case of the more general class of 3-dimensional Finsler geometries. We point out that in stably causal spacetimes, by using the (time-dependent) ADM decomposition, this result can be extended to general non-stationary spacetimes - the causal structure (conformal structure) of the full spacetime is completely encoded in a parameterized (time-dependent) class of Randers spaces, which can then be used to define a Fermat principle, and also to reconstruct the null cones and causal structure.

Affiliated with

Also associated with

No associations

Rating

The causal structure of spacetime is a parameterized Randers geometry 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 The causal structure of spacetime is a parameterized Randers geometry, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The causal structure of spacetime is a parameterized Randers geometry will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-94596