签不签房东都必须重新租，这个叫landlord duty to mitigate damage

This is because under California law (Cal. Civ. Code § 1951.2), your landlord must make reasonable efforts to re-rent your unit—no matter what your reason for leaving—rather than charge you for the total remaining rent due under the lease.

https://www.nolo.com/legal-encyclopedia/tenants-right-break-rental-lease-california.html

所以表不要签，给他们书面电邮提醒这个法律即可。这种事情没办法，只好赖掉，他们来告好了，实话实说法官也不会判全赔。

另外这个不是住进去不交租，对信用历史应该没有影响