libjawt.so is included with the JRE, or Java Runtime Engine. You can grab a JRE from either http://www.sun.com
The reason your system isn't recognizing the file is because the dependencies on your system are actually tracked through the RPM database. If you didn't install the file using an RPM then it doesn't know the file exists. That's why each RPM has a "provides" and "requires" section.
If you find an RPM that "provides" libjawt.so then the error will go away permanently.
I hope that helps. If I'm wrong someone will correct me I'm sure.