Stratigraphy, Structure, and Metamorphism of the Taconic Allochthon and Surrounding Autochthon in Bashbish Falls and Egremont Quardangles and Adjacent Areas

Guidebook for field trips in New York, Massachusetts and Vermont: 61st annual meeting at the State University of New York at Albany, Albany, New York October 10, 11, 12, 1969: Trip

Stratigraphy and Structure at the North End of The Taconic Range and Adjacent Areas

Guidebook for the fifty-first annual meeting of the New England Intercollegiate Geological Conference: Stratigraphy and structure of west central Vermont and adjacent New York, Rutland, Vermont October 17-18, 1959: Trip A and Trip

The n-body problem in General Relativity up to the second post-Newtonian order from perturbative field theory

Motivated by experimental probes of general relativity, we adopt methods from perturbative (quantum) field theory to compute, up to certain integrals, the effective lagrangian for its n-body problem. Perturbation theory is performed about a background Minkowski spacetime to O[(v/c)^4] beyond Newtonian gravity, where v is the typical speed of these n particles in their center of energy frame. For the specific case of the 2 body problem, the major efforts underway to measure gravitational waves produced by in-spiraling compact astrophysical binaries require their gravitational interactions to be computed beyond the currently known O[(v/c)^7]. We argue that such higher order post-Newtonian calculations must be automated for these field theoretic methods to be applied successfully to achieve this goal. In view of this, we outline an algorithm that would in principle generate the relevant Feynman diagrams to an arbitrary order in v/c and take steps to develop the necessary software. The Feynman diagrams contributing to the n-body effective action at O[(v/c)^6] beyond Newton are derived.Comment: 39 pages. The Mathematica code used in this paper can be found at http://www.stargazing.net/yizen/PN.html Version 2: Slight re-wording of section on removal of accelerations in 2 PN lagrangian; comments added in conclusion; and typographical errors fixed. Article is similar to that published in PR