Ezra T. Newman - Standard classical mechanics sitting in standard classical GR
Jurekfest 2019 - day 1, lecture 4.
Speaker: Ezra T. Newman (introduction by Jurek Lewandowski).
Title: Standard classical mechanics sitting in standard classical GR.
Abstract: Approximately 60 years ago, Hermann Bondi took the major step in the study of gravitational radiation of introducing the use of null surfaces as coordinates for the study and integration of the Einstein equations. This led to the well-known Bondi mass loss theorem. In Bondi’s approach to the integration procedure, he used special null surfaces (now referred to as Bondi null surfaces) where the null generators possessed (in general) non-vanishing asymptotic shear – the free radiation data. The use of this Bondi strategy over the years has become almost sacrosanct – being the central approach in almost all discussions of gravitational radiation issues. It led to the idea of an asymptotic symmetry – the BMS group. Eventually Bondi’s description of null infinity became elegantly formalized via Penrose’s future null infinity and associated structures. However recently an alternative picture of null infinity has been developed – now based on the (strong) similarity of the “null surfaces” to those of flat-space near null infinity. The new “null surfaces”, that are now asymptotically shear-free, are very different from the Bondi surfaces. These surfaces are as similar as possible to flat-space light cones near infinity. Totally new structures – e.g., the geometric asymptotically shear-free null geodesic congruences and even the physical classical equations of motion, now appear in this new picture. The Bondi–Sachs Energy-Momentum conservation laws remain but are augmented by angular momentum (orbital and spin)conservation laws – with other results, e.g., the Abraham–Lorentz–Dirac Radiation Reaction Force.
Slides: http://jurekfest.fuw.edu.pl/slides/ne...
Link to conference's webpage: http://jurekfest.fuw.edu.pl.