All perfect praise be to Allaah, The Lord of the Worlds. I testify that there is none worthy of worship except Allaah, and that Muhammad is His slave and Messenger.
This misconduct from your husband – if confirmed – does not affect the validity of the marriage. However, he is absolutely wrong and sinful for establishing a forbidden relationship with a non-Mahram (marriageable) woman, as this is the conduct of the people of the pre-Islamic era of ignorance in taking lovers, and Islam forbids it.
For more benefit, please refer to Fatwa 81356.
You should advise your husband in a gentle manner and remind him of Allaah The Almighty. You should also clarify to him that such a conduct is wrong and that it has unpleasant consequences. Then, if he repents to Allaah, praise be to Allaah, but if he persists on what he is doing, then you have the right to ask for divorce. Indeed, the jurists stated that the dissoluteness of the husband is one of the reasons for which the wife is permitted to ask for divorce.
In this regard, please refer to Fatwa 88408.
Finally, the following matters should be mentioned:
1- A husband is Islamically required to have a good marital relationship with his wife. If he mistreats her, he is breaching this Divine commandment. For more benefit, please refer to Fataawa 86618 and 88304.
2- The husband is obliged to spend on his wife even if she is rich. However, if the wife fulfills this obligation [of the husband] out of her own free will, then she will be rewarded. For more benefit, please refer to Fatwa 86646.
3- In case of divorce, the mother has the right to foster the children as long as she does not remarry. For more benefit, please refer to Fatwa 82128.
According to the most preponderant opinion of the scholars it is not permissible for the husband to think of (or imagine) another woman when having intercourse with his wife, as this is a means that could lead him to becoming attached to her and tempted by her, and there are many evil consequences of this.
Allaah Knows best.