Solr5.0 has been recently released with several new features. One of these is a service install to use with Redhat based Linux systems. This install will walk you through an install and create two example cores to test with.
Many of the Solr install instructions include the installation of Tomcat. This is not required. Solr 5.0 will run with the base OpenJDK. The server also does not need the Apache web server.