As far as I know there are nine types of sex in Hinduism. A man cannot touch his wife immediately after marriage.
Question: How many days after marriage can a man touch his wife?
Definitely not on day of marriage, because naandi-shraddham is done on that day (atleast in modern versions of marriages), and so during pitru-karyam days like amavasya and shraddha tithi, cohabitation is to be avoided. The modern cinema 'first-night' crap is totally prohibited.
Next, not for 5 days after marriage, because brahmacharya vratham has to be maintained.
Next, not until after the girl has had her menstruation.. they fix day of marriage so that it falls somewhere in between her periods. But cohabitation is only allowed for the first 12 days after the end of her period, and then again only after her next period ends, so most likely after waiting for 5 days mentioned above, the non-cohabitation period starts.
Next, for those who maintain agnihotra (vaidika brahmanas), 6 months of brahmacharyam is stipulated.
Anyways.. for most normal folks, it is a test of both your mental strength and obedience to shastras, to wait for a month after marriage. Even otherwise, during that initial month, the new couple visit temples, relatives and elders etc. to get blessings, socialize, introduce wife to her new family, and to remind them that marriage has a higher goal of following dharma, and that kama is subservient to that. And it takes some time for husband and wife to get comfortable with each other, at least in arranged marriages.
It is not recommended to have shanthi-muhurtam outside the house in some hotel. The wedding-bed is a present made specifically for that and special days are stipulated for the night. The use of contraception is also a modern-day concept alien to shastras, so natural fertility cycle can be taken into account if progeny is not in the plans immediately. They can go on honey-moon after above ritual is completed at home.
The underlying theme is not to rely on physical contact for intimacy to grow between the couple, but that as long as both have a common goal higher than themselves, mental intimacy will grow, and physical union will help in that goal.
Source - Brahamanas, and Manu Smriti