I've got some questions about this too. Maybe anyone could help?
I've got Wordpress running on a UNIX (Fedora) PC (10.0.0.14) in my local network. This PC is also reachable from the Internet on its 'external' IP (84.***.***.***), because I've forwarded port 80 on my router (10.0.0.138) to 10.0.0.14.
In my Wordpress configuration, I've set the WordPress & Blog address to http://84.***.***.***
Now Wordpress is running perfectly and reachable from the Internet, but when I want to manage the Blog from another local PC, for example 10.0.0.10, the Blog isn't rendered properly and all links refer to my external IP 84.***.***.*** which is unreachable for me within my own network.
When I visit my Blog from another location (the office for example), I can manage it perfectly and it looks great.
Now what should I do to be able to manage my Blog from a PC within my own Network, for example 10.0.0.10? I can't do it by editing the hosts file as mentioned (tried it) because there's no DNS-name directly refering to my external IP 84.***.***.***
I hope I formulated my questions clearly. If necessary, I can always provide you with additional information.
Thanks a lot in advance!