Can a relationship survive cheating?

Foo Fighters frontman Dave Grohl has announced he fathered a child "outside of my marriage".  In a statement he put on his Instagram page, he said: "I've recently become the father of a new baby daughter, born outside of my marriage. I plan to be a loving and supportive parent to her."  

We went on to say: "I love my wife and my children, and I am doing everything I can to regain their trust and earn their forgiveness. We’re grateful for your consideration toward all the children involved, as we move forward together."  

Can a relationship survive something like this? 

Photo: Suamy Beydoun/AGIF (via AP)