Abstract
We investigate the scalar Green function for spherically symmetric spacetimes expressed as a coordinate series expansion in the separation of the points. We calculate the series expansion of the function appearing in the Hadamard parametrix of the scalar Green function to very high order. This expansion is then used to investigate the convergence properties of the series and to estimate its radius of convergence. Using the method of Padé approximants, we show that the series can be extended beyond its radius of convergence to within a short distance of the normal neighborhood boundary.
6 More- Received 20 April 2009
DOI:https://doi.org/10.1103/PhysRevD.79.124044
©2009 American Physical Society