Christians, is gay marriage still wrong if the couple never has sex?

The Bible mentions that the act of gay sex is an abomination (lying with another man as your would a woman), but nothing about actual gay marriage. So, what if two men wanted to marry into a sexless marriage? I’m pretty sure this scenario would never be a real one, but let’s just say there is a couple who wants to marry strictly for one another’s company and tax credits. Maybe they even have separate bedrooms. The Bible doesn’t forbid this as far as I can tell, so would this be ok to you?