IA/U.Lisboa Seminar - On tetrad approaches and gauge fixing in general relativity - 23 abril 2018

With the recent detection of gravitational waves and the expected improvements in accuracy of current and future experiments, it is of primary importance that numerical simulations achieve higher degrees of accuracy as well. For example, the process of extracting gravitational waveforms from numerical simulations can be still subject by possible systematic errors, mostly because of the gauge freedom that is encountered along the way. The most used approaches to study numerically Einstein’s equations are based on 3+1 decompositions of the space-time. However, when extracting the physical outcome, tetrad approaches are employed to guarantee gauge independence. I will first present the state of the art techniques currently employed in numerical relativity. Next, I will describe the work in progress to promote tetrad approaches with appropriate gauge fixing as a stand-alone machinery to study Einstein’s equations analytically and/or numerically.