A rigorous solution concept for geodesic and geodesic deviation equations in impulsive gravitational waves

Details A rigorous solution concept for geodesic and geodesic deviation equations in impulsive gravitational waves A rigorous solution concept for geodesic and geodesic deviation equations in impulsive gravitational waves

1998-06-03

arxiv.org/abs/gr-qc/9806009v2

J.Math.Phys. 40 (1999) 1479-1489

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

RevTeX, 9 pages, final version (minor corrections, references added)

Scientific paper

10.1063/1.532816

The geodesic as well as the geodesic deviation equation for impulsive gravitational waves involve highly singular products of distributions $(\theta\de$, $\theta^2\de$, $\de^2$). A solution concept for these equations based on embedding the distributional metric into the Colombeau algebra of generalized functions is presented. Using a universal regularization procedure we prove existence and uniqueness results and calculate the distributional limits of these solutions explicitly. The obtained limits are regularization independent and display the physically expected behavior.

Affiliated with

Also associated with

No associations

Rating

A rigorous solution concept for geodesic and geodesic deviation equations in impulsive gravitational waves 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 A rigorous solution concept for geodesic and geodesic deviation equations in impulsive gravitational waves, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A rigorous solution concept for geodesic and geodesic deviation equations in impulsive gravitational waves will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-318987