Radiation from a D-dimensional collision of shock waves: a remarkably simple fit formula

Details Radiation from a D-dimensional collision of shock waves: a remarkably simple fit formula Radiation from a D-dimensional collision of shock waves: a remarkably simple fit formula

2012-03-23

arxiv.org/abs/1203.5355v1

Physics

High Energy Physics

High Energy Physics - Theory

3 pages, 3 figures, Accepted in Physical Review Letters

Scientific paper

Recently, in arXiv:1105.2298 [hep-th], we have estimated the energy radiated in the head-on collision of two equal D-dimensional Aichelburg-Sexl shock waves, for even D, by solving perturbatively, to first order, the Einstein equations in the future of the collision. Here, we report on the solution for the odd D case. After finding the wave forms, we extract the estimated radiated energy for D=5,7,9 and 11 and unveil a remarkably simple pattern, given the complexity of the framework: (for all D) the estimated fraction of radiated energy matches the analytic expression 1/2-1/D, within the numerical error (less than 0.1%). Both this fit and the apparent horizon bound converge to 1/2 as D goes to infinity.

Affiliated with

Also associated with

No associations

Rating

Radiation from a D-dimensional collision of shock waves: a remarkably simple fit formula 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 Radiation from a D-dimensional collision of shock waves: a remarkably simple fit formula, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Radiation from a D-dimensional collision of shock waves: a remarkably simple fit formula will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-38745