There are 13 Trophies that can be collected.

Bronze

Wrong Way    
That's not right    

Altitude is Attitude    
Exploration off the ground    

It's Stuck    
Prepare a dry landing    

Urban Exploration    
Involves heavy lifting    

Alone in the Dark    
Beneath the arthropod    

Climbing the Cog    
Don't pull the lever just because you can    

Backtracking    
Ride the crates    

Guided by Sparks    
The crate is key    

Under Ground    
Vertical passageway

Silver

Going Up    
Don't let gravity keep you down    

Where Credit is Due    
Perseverance has its own reward    

No Point in Dying    
Complete the game in one sitting with five or less deaths

1 Secret

http://www.ps3trophies.org/game/limbo/trophies/