  Recently, spatiotemporal optical vortex pulses carrying a purely transverse
intrinsic orbital angular momentum were generated experimentally [{\it Optica}
{\bf 6}, 1547 (2019); {\it Nat. Photon.} {\bf 14}, 350 (2020)]. However, an
accurate theoretical analysis of such states and their angular-momentum
properties remains elusive. Here we provide such analysis, including scalar and
vector spatiotemporal Bessel-type solutions as well as descrption of their
propagational, polarization, and angular-momentum properties. Most importantly,
we calculate both local densities and integral values of the spin and orbital
angular momenta, and predict observable spin-orbit interaction phenomena
related to the coupling between the trasnverse spin and orbital angular
momentum. Our analysis is readily extended to spatiotemporal vortex pulses of
other natures (e.g., acoustic).
