Covariant Graviton Propagator in Anti-de Sitter Spacetime

Abstract

We construct the graviton propagator in $n$-dimensional anti-de Sitter spacetime in the most general covariant gauge. We then study the behaviour of this propagator for different values of the gauge parameters. We will show that in any gauge, apart from the Landau gauge, the graviton propagator in the AdS spacetime contains a complicated term involving the derivative of a hypergeometric function which can not be expressed in terms of elementary functions. We do our calculations in the Euclidean approach.