I've built an application using the Rails framework that was designed for two or three iPads to access through a local network. However, the building I will rent does not have an internet connection for me to use. Is it possible to share the local rails server through a router that the iPads can connect to.
Yes, it is possible. You can access your application from iPad (or any other device) by specifying the IP address in the browser Eg: 192.168.x.x:3000/ (Assuming rails is running at localhost:3000 on your server machine) if all the devices are connected to the same network.