Greens Function for Anti de Sitter Gravity
广义相对论与量子宇宙学
2011-09-09 v1
摘要
We solve for the retarded Greens function for linearized gravity in a background with a negative cosmological constant, anti de Sitter space. In this background, it is possible for a signal to reach spatial infinity in a finite time. Therefore the form of the Greens function depends on a choice of boundary condition at spatial infinity. We take as our condition that a signal which reaches infinity should be lost, not reflected back. We calculate the Greens function associated with this condition, and show that it reproduces the correct classical solution for a point mass at the origin, the anti de Sitter-Schwarzchild solution.
引用
@article{arxiv.gr-qc/9406005,
title = {Greens Function for Anti de Sitter Gravity},
author = {Gary Kleppe},
journal= {arXiv preprint arXiv:gr-qc/9406005},
year = {2011}
}
备注
27 pages of Plain TeX, UAHEP9403