gstreamer-0.1.0 has been deprecated in 16.10. But you can grab the two missing dependencies from 16.04's repo.
Download and installl 16.04's version of libgstreamer-0.1.0 from https://launchpad.net/ubuntu/+source/gstreamer0.10 and libgstreamer-plugin-base from https://launchpad.net/ubuntu/+source/gst-plugins-base0.10/+index
(go to xenial, click the little triangle on the left of the row, then download the deb for your architecture)
Now rstudio should install.
P.S A bug should be filed against either Ubuntui or rstudio.