OP.
Not sure of your financial status but w rich people can be compromised.
You say he is lying but have you actually found out what was really going on?
If you are saying you know he is lying without proving it, you are admitting you, yourself, don't know the full truth.
I don't know you or your partner so I'll not comment in a detrimental fashion.
If it was me, I would ask him the following (calmly):
Where do you see yourself in a years time?
Where do you see me and OUR children in a years time ?
If it helps, ask him to write it all down. That way, you both see it.
I'm no expert, but sometimes the affected can't see wood for the trees whereas others can.
All the best OP
Looking at this situation (of many).
Situations such as this leave people in a stagnant position.
It isn't ideal. It is difficult, but to allow someone to have that amount of control over you, you have to break that situation.
You can't heal until you start to move on or at least know which way the compass points.
It may be that you love the person and you take some kind of comfort in knowing they are still with you. That is not the definition of security - until you know for sure.
Life is for living. It makes no sense to be anything other than honest (which itself brings freedom) and caring and have a right to enjoy your existence.
Living a life of misery is no life at all.