Numerical Integration of Transport Equations

This C code is an accompaniment to the paper: A Transport Equation Approach to Calculations of Hadamard Green Functions and off-diagonal DeWitt Coefficients. It numerically calculates the function V_0(x,x') appearing in the Hadamard form of the Green function. Please see the paper for a full description.

The full code is available to download here. It is provided as free software under the terms of the GNU General Public License version 2 (or later). If you find this code useful, please cite the paper arXiv:0906.0005.

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CovariantSeries Mathematica Package

This Mathematica code is an accompaniment to the paper: A Transport Equation Approach to Calculations of Hadamard Green Functions and off-diagonal DeWitt Coefficients. It symbolically calculates covariant series expansions of many bi-tensors, including the functions V_n(x,x') appearing in the Hadamard form of the Green function. Please see the paper for a full description.

The full code is available to download here. There is also an example Mathematica notebook to explain how to use the package. It is provided as free software under the terms of the GNU General Public License version 2 (or later). If you find this code useful, please cite the paper arXiv:0906.0005.

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Hadamard-WKB Expansion of the Green Function

This Mathematica code is an accompaniment to the paper: Pade Approximants of the Green Function in Spherically Symmetric Spacetimes. It caculates the Green function, G(x,x’), for spherically symmetric spacetimes as a Taylor series in the coordinate separation of the points. Please see the paper for a full description.

The full code is available to download here, including precalculated results for Schwarzschild, Nariai and Reissner-Nordstrom spacetimes. It should work with versions 6 and 7 of Mathematica and possibly other versions. It is provided as free software under the terms of the GNU General Public License version 2 (or later). If you find this code useful, please cite the paper arXiv:0903.5319.

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Installing GRTensor on Mac OSX

GRTensor is a very handy Maple package for doing calculations in General Relativity. Given a specific metric, it’s great at calculating the components of tensors. You can define your own tensors or use the predefined ones. You can even define your own metrics.

The install instructions in the Readme file are fairly good if you’re a Windows or Linux user. As is often the case, however, there are one or two catches when installing on Mac OS X. With that in mind, the following instructions should help with the installation: Continue reading

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GRTensor: Metrics and Mac OS X

GRTensor is a very handy Maple package for doing calculations in General Relativity. Given a specific metric, it’s great at calculating the components of tensors. You can define your own tensors or use the predefined ones. You can even define your own metrics.

Unfortunately, getting it working on Mac OS X is a bit of a pain. This is due to a bug in GRTensor that has gone unfixed for quite a while. Fortunately, there is a straightforwarde solution. Continue reading

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