SPRINGER HANDBOOK OF SPACETIME
I have contributed a chapter to this book, published in June 2014. My chapter is the one entitled Rigid motion and adapted frames. It is essentially a much streamlined version of the mathematical part of my third book (the one that could not be published), another opportunity to be bored stiff by the topic of rigidity in relativity. Certain 'accelerating frames' are considered good because they move rigidly (in a specific relativistic sense). However, there are no canonical accelerating frames because our theories of non-gravitational forces have no acceleration symmetry. There are canonical constant velocity frames (inertial frames) because these theories do have velocity (Lorentz) symmetry. My chapter in the handbook steers well clear of such controversial (sic) claims and deals only with the mathematics of the frames. Click on the picture to see the Springer link.