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arXiv · gr-qc/9406005

Greens Function for Anti de Sitter Gravity

Gary Kleppe
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Abstract

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.

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Gary Kleppe. 1994-06-03. Greens Function for Anti de Sitter Gravity. https://doi.org/10.1103/physrevd.50.7335

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