RepairPal Certified shops can diagnose and repair your 2009 Pontiac Solstice. They provide transparent pricing with a minimum 12-month or 12,000-mile warranty on repairs and services.
It sounds like there is some trouble with the ventilation system of the fuel tank. The fuel tank must properly vent as a matter of design. The evaporative emissions system may also have a part to play. Testing must be performed to find out what the trouble is.