Men only really become a father when the baby arrives. I can understand him wanting to continue work/not waste leave until the baby is actually here, which is probably what is driving his decision not to come with you.
Even if you believe that, he was still OPs partner last night and treated her very badly when she was in pain and worried for herself and their child. A caring partner would have been awake, trying to make her comfortable, speaking to the hospital and working out a plan. He could have took all that on, even if she did go alone to hospital and he went back to sleep and then work.
Also being really rational, in the event that baby was going to arrive imminently, he needs to get all the sleep he can now! My contractions started at 10pm at night, I sent DH immediately to bed because we needed at least one of us to have had some sleep!
She was in a lot of pain, something was wrong. She needed medical help, that is no time to be ensuring he gets sleep. Of course some fathers sleep when their partner is in the earlier stages of labour if everything is going to plan and their partner is coping. This isn’t what was happening here. This was potentially a very serious problem and OP needed support and help.
Seriously, what the fuck?
OP, I hope you’re ok. Firstly that you’re feeling better and everything is okay with the baby. Secondly, I imagine you are finding it difficult to read these posts. A lot of women have been in relationships with partners like this or seen their mums/sisters/friends go through it. You need to keep good family and friends around you, keep financial independence, seriously consider giving the child your surname, leaving your partner off the birth certificate and be honest with yourself about what is happening.
I really hope your partner steps up, but reading your posts, I sadly think it’s unlikely. Men like this don’t get better, they get worse after children and the longer you’ve been with them.
Mumsnetters have really good advice on the relationships board if/when you need it. There’s lots of help out there if you do need to leave at any point.