Introduction of the Lie group of Lorentz matrices in Special Relativity. Tangent boost along a worldline and its associated matrix in the Lie algebra. Applications

Michel Langlois, M. Meyer, Jean-Marie Vigoureux

In order to generalize the relativistic notion of boost to the case of non inertial particles and to general relativity, we come back to the definition of Lie group of Lorentz matr…