Linearized Gravity in Brane Backgrounds

Details Linearized Gravity in Brane Backgrounds Linearized Gravity in Brane Backgrounds

2000-02-11

arxiv.org/abs/hep-th/0002091v3

JHEP 0003:023,2000

Physics

High Energy Physics

High Energy Physics - Theory

31 pages, harvmac. v2: minor typo and reference corrections. v3: minor corrections to eqs and discussion

Scientific paper

10.1088/1126-6708/2000/03/023

A treatment of linearized gravity is given in the Randall-Sundrum background. The graviton propagator is found in terms of the scalar propagator, for which an explicit integral expression is provided. This reduces to the four-dimensional propagator at long distances along the brane, and provides estimates of subleading corrections. Asymptotics of the propagator off the brane yields exponential falloff of gravitational fields due to matter on the brane. This implies that black holes bound to the brane have a "pancake"-like shape in the extra dimension, and indicates validity of a perturbative treatment off the brane. Some connections with the AdS/CFT correspondence are described.

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