  Relativistic Hamiltonian equations describing a motion of a point mass in an
arbitrary homogeneous potential are considered. For the first time, the
necessary integrability conditions for integrability in the Liouville sense for
this class of systems are formulated. These conditions are obtained by means of
an analysis of the differential Galois groups of variational equations. They
are simple and effective in applications. For instance, an application of the
necessary integrability conditions for systems with two degrees of freedom
shows that relativity almost completely destroys integrability, that is, in
almost all cases relativistic versions of integrable systems are not
integrable.
  The paper has been already published in ,,Chaos: An Interdisciplinary Journal
of Nonlinear Science'', and the final journal version is available under the
link: https://doi.org/10.1063/5.0140633
