Peeling theorem explained

In general relativity, the peeling theorem describes the asymptotic behavior of the Weyl tensor as one goes to null infinity. Let

\gamma be a null geodesic in a spacetime (M, g _{ab} ) from a point p to null infinity, with affine parameter λ . Then the theorem states that, as λ tends to infinity:C _{abcd} = (C ^{( 1 )} _{abcd})/(+ λ) (C ^{( 2 )} _{abcd})/(+ λ ^{2}) (C ^{( 3 )} _{abcd})/(+ λ ^{3}) (C ^{( 4 )} _{abcd})/(+ O\left( λ ^{4}) (1)/(λ ^{5}) \right)

where

C _{abcd} is the Weyl tensor, and abstract index notation is used. Moreover, in the Petrov classification, C ^{( 1 )} _{abcd} is type N, C ^{( 2 )} _{abcd} is type III, C ^{( 3 )} _{abcd} is type II (or II-II) and C ^{( 4 )} _{abcd} is type I.

External links

• https://arxiv.org/abs/gr-qc/0505026
• https://books.google.com/books?id=xIYpAQAAMAAJ&q=Peeling+theorem
• https://books.google.com/books?id=YP0-AAAAIAAJ&q=Peeling+theorem
• https://books.google.com/books?id=5xYvAAAAIAAJ&q=Peeling+theorem