It's between the landlord and tenant. If in the tenant's name, whenever possible the landlord will want the utility company (or companies) involved to know that it's a rental such that he's informed if the utilities are cut off by the tenant or turned off for nonpayment. If you don't want a particular service to be in the tenant's name, make an appropriate arrangement with your tenant in relation to whether that will be included in the rent or, if not, what will be paid, how and when.