Asymptotic flatness at null infinity in higher dimensional gravity

Details Asymptotic flatness at null infinity in higher dimensional gravity Asymptotic flatness at null infinity in higher dimensional gravity

2003-11-19

arxiv.org/abs/hep-th/0311178v2

Physics

High Energy Physics

High Energy Physics - Theory

11 pages. A concise version of gr-qc/0304054, based on talk given at the Seventh Hungarian Relativity Workshop, 10-15 Aug 2003

Scientific paper

We give a geometrical definition of the asymptotic flatness at null infinity in spacetimes of even dimension $d$ greater than 4 within the framework of conformal infinity. Our definition is shown to be stable against perturbations to linear order. We also show that our definition is stringent enough to allow one to define the total energy of the system viewed from null infinity as the generator conjugate to an asymptotic time translation. We derive an expression for the generator conjugate within the Hamiltonian framework, and propose to take this notion of energy as the natural generalisation of the Bondi energy to higher dimensions. Our definitions of asymptotic flatness and the Bondi energy formula differ qualitatively from the corresponding definitions in $d=4$; although the asymptotic structure of null infinity in higher dimensions parallels that in 4-dimensions in some ways, the latter seems to be a rather special case on the whole compared to general $d>4$. Our definitions and constructions do not work in odd spacetime dimensions, essentially because the unphysical metric seems to have insufficient regularity properties at null infinity in that case.

Affiliated with

Also associated with

No associations

Rating

Asymptotic flatness at null infinity in higher dimensional gravity 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 Asymptotic flatness at null infinity in higher dimensional gravity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Asymptotic flatness at null infinity in higher dimensional gravity will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-406287