These are the packages required by RVM. When doing rvm install it will try to install these packages with sudo. Maybe if you don't have sudo install you could try installing these manually.
apt-get install bash, curl, patch, bzip2, ca-certificates, g++, gcc, make, libc6-dev, patch, openssl, ca-certificates, libreadline6, libreadline6-dev, curl, zlib1g, zlib1g-dev, libssl-dev, libyaml-dev, libsqlite3-dev, sqlite3, libxml2-dev, libxslt1-dev, autoconf, libc6-dev, libgdbm-dev, libncurses5-dev, automake, libtool, bison, pkg-config, libffi-dev