I have not filed for divorce.
I want to know if i can evict her from my apartment forcibly.
You cannot force her to either shift herself to US or to vacate your apartment just because she is not inclined to leave the matrimonial house on your orders. She has full rights in her matrimonial house until the marriage between you and her is effective and remains valid. Dont venture into such ideas, it will be illegal and you will be termed to have committed an offence if you force her out.
can i forcibly evict her after filing for divorce?
After divorce you can issue notice to her to vacate the apartment failing which you can initiate action by following due process of law.
Do i need to send her money for maintenance if she is going to stay in my apartment?
Staying in the apartment is different from giving her money for her maintenance, you are bound to maintain her and it becomes your duty to send her money.
Can she claim share in my apartment after divorce?
No, if it is your own and absolute property she do not have any rights in the property and she cannot claim any share in it.