They can relist and try to rent and then they can sue you for any months of the home not being rented.
Usually, you ( the tenant ) can make an offer to the landlord to get out of the lease. Otherwise, you are responsible for what you signed.
When you sign a lease, you made a promise to the lessor in a business transaction that contracts to make use of property or equipment for a specific amount of time. The transaction is governed by the terms and conditions documented in a lease agreement. In return for the privilege of using the equipment or property for the duration of the lease, the lessee agrees to pay the owner or lessor regular payments that are in accordance with the terms specified in the lease.
As long as both parties honor their obligations, the lessee lessor relationship is usually a positive one.
It is not unusual for any lease agreement to grant both lessor and lessee termination rights. For example, a tenant may be able to retire a lease early if an employer transfers him or her to another city. At the same time, the owner of the property may choose to terminate a lease early for non-compliance of the tenant with the terms and conditions of the lease. The non-compliance may involve factors like non-payment of rent or failure to honor prohibitions against having a pet or violating clauses having to do with excess noise. Usually, a lease agreement provides protection for both parties, making it possible for both the lessee and the lessor to end the business relationship if either party is failing to live up to his or her commitment.
Before signing any lease agreement, a potential lessee should read the provisions of the document thoroughly. If there are any clauses or sections he or she does not understand, it is important to seek clarification before entering into the lease. This will help prevent the possibility of misunderstandings regarding the responsibilities and privileges assumed by both parties for the duration of the agreement, and help keep the business relationship cordial.
Ok, bottom line is that the lessor has bills to meet as well, and he/she took the property off the market for you, based on your promise to him/her. The lessor can enforce any terms that were written in to the lease even if you did not move in.
Typically they can go after you for the full amount of the lease.
It is a contract that you signed, likely saying you would pay them X amount.
If they have to go to court to collect, this can make renting in the future difficult
as you will now have a history of non-performance.
Best thing to do is to discuss your situation with them and see if you can't come to some kind of resolution that is good for both parties.