On smoothness-asymmetric null infinities

Details On smoothness-asymmetric null infinities On smoothness-asymmetric null infinities

2006-05-10

arxiv.org/abs/gr-qc/0605056v1

Class.Quant.Grav. 23 (2006) 3593-3606

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 pages, 1 figure

Scientific paper

10.1088/0264-9381/23/10/022

We discuss the existence of asymptotically Euclidean initial data sets to the vacuum Einstein field equations which would give rise (modulo an existence result for the evolution equations near spatial infinity) to developments with a past and a future null infinity of different smoothness. For simplicity, the analysis is restricted to the class of conformally flat, axially symmetric initial data sets. It is shown how the free parameters in the second fundamental form of the data can be used to satisfy certain obstructions to the smoothness of null infinity. The resulting initial data sets could be interpreted as those of some sort of (non-linearly) distorted Schwarzschild black hole. Its developments would be so that they admit a peeling future null infinity, but at the same time have a polyhomogeneous (non-peeling) past null infinity.

Affiliated with

Also associated with

No associations

Rating

On smoothness-asymmetric null infinities 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 On smoothness-asymmetric null infinities, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On smoothness-asymmetric null infinities will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-705742