Is it a condition for performing the rituals of Hajj that a Muslim change his Christian name to an Islamic name, and is it obligatory to change the name in official documents?

The validity of Hajj and Umrah (definition) is not related to a person's name. If there is no religious prohibition in the old name, it is permissible to keep it. However, if a person uses a correct Arabic name that is religiously sound and has a good meaning, it is better. As for official matters, when going to the embassy to obtain a Hajj visa, it is sufficient to bring a certificate from the Islamic Center proving conversion to Islam. One should strive to perform Hajj and Umrah as soon as possible with a Muslim mahram (definition).