Justin C. Feng
Ph.D Physics, The University of Texas at Austin (To be conferred December 2017)
My research is a mixture of theoretical and (light) numerical work in General Relativity. My theoretical work concerns topics involving variational principles in General Relativity (with a focus on boundary terms) and the 3+1 formalism. My dissertation concerns spatial boundary conditions in the path integral formulation of quantum General Relativity. I am also involved in a couple of numerical projects; I'm currently involved in the development of a Post-Minkowskian few-body code (we are hoping to release it soon), and the development of a GR code based on the generalized harmonic gauge formulation of the Einstein Field Equations.
The Poor Man's Introduction to Tensors - These are my notes on tensors--they serve as an introduction to tensor calculus (in Euclidean space) accessible to those with a basic knowledge of linear algebra and vector calculus. (Updated December 31st 2017)
Feng, J. C., Matzner, R. A., From Path Integrals to the Wheeler-DeWitt Equation: On Time Evolution in Spacetimes With Spatial Boundary, arXiv:1708.07001 (2017)
Feng, J. C., Matzner, R. A., The Weiss Variation of the Gravitational Action, arXiv:1708.04489 (2017)
Last modified 12-31-2017