Tennessee Code Title 41. Correctional Institutions and Inmates § 41-12-107

(a)(1) Subject to subsection (b), any local governmental entity may become a member of an authority after its creation subject to following the requirements for a public hearing and notice in accordance with § 41-12-105.

(2) Any governmental entity that is a member of an existing authority may withdraw from that authority, but no governmental entity shall be permitted to withdraw from any authority after any obligation has been incurred by the authority except by unanimous vote of all members of the authority, and after providing for an appropriate manner to hold the authority harmless concerning the governmental entity's share of any existing indebtedness incurred by the authority during the governmental entity's inclusion in the authority. The governing body of any governmental entity wishing to withdraw from an existing authority shall signify its desire by resolution or ordinance, as appropriate.