Here are few things to try:
1. Check if the battery works in another laptop.
2. Clean the battery contacts if you’re comfortable with it. Also check if it’s damaged or bent.
3. Try another battery. If this battery works, then you know for sure that the other battery is faulty. If the system is under warranty you can get battery replacement from Sony
4. Seems like flashing BIOS has helped a great deal of people facing similar problem.
Please fully charge (24 hours) and discharge for several times to see how long the battery working time is. hope can help you,thanks
More:http://goo.gl/LJDmLA