A few colonization ships have left the Earth on different paths, with the inhabitants in hibernation. The main character of the story (I do forget what his 'title' or role is, however) is awakened throughout the journey for various issues.
Other things that happen: the sun is made to go nova by these entities that live in stars and play a (deadly) game of making the other entity's stars nova before they can escape. They live for a very long time, so their sense of time is on an exponential magnitude to that of a redwood. I think the other ship(s) got destroyed.
And for some reason I feel the main character essentially ends up being the oldest human ever.
Another part of the story I can recall is the ship gets stuck moving faster than it should due to one of these entities, and the main character has to make it stop, but they don't know why, so they're really going about it the wrong way, but, end up pissing off the star 'entity'. I wish I remembered more, but that's the reason I want to re-read the book!