Greens Function for Anti de Sitter Gravity

Details Greens Function for Anti de Sitter Gravity Greens Function for Anti de Sitter Gravity

1994-06-03

arxiv.org/abs/gr-qc/9406005v1

Phys.Rev.D50:7335-7345,1994

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

27 pages of Plain TeX, UAHEP9403

Scientific paper

10.1103/PhysRevD.50.7335

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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