Apple will apparently host its special media event to unveil the iPhone 5 on Tuesday, October 4. The event, according to unnamed sources familiar with Apple’s plans, will be run by Apple’s new CEO Tim Cook.

AllThingsD reports that the actual iPhone 5 launch will follow the media event by a few weeks.

Apple may finally show off the iPhone 5 on October 4

Along with Mr. Cook, reporters can expect to see other members of Apple’s senior executive team take the stage during the unveiling presentation, such as Phil Schiller, Scott Forestall and Eddy Cue.

Apple hasn’t revealed any iPhone 5 features yet, but that hasn’t stopped rumors or speculation. Based on the current batch of rumors, the next iPhone could have a bigger screen, or maybe the same size screen, an 8 megapixel camera, the same body design as the iPhone 4, or maybe a redesigned body, an A5 processor like the iPad 2, NFC support for digital wallet services, and world phone support.

None of the rumored iPhone 5 features have been confirmed by Apple, and since the company hasn’t sent out invitations for the media event, there isn’t any official word on when — or if — it will be happening.