In this paper we construct a non-commutative gauge theory for the deformed
metric corresponding to the modified structure of a gravitational field in the
case of Yukawa-Schwarzschild non-commutative space-time. The thermodynamic
properties and corrections to the gravitational force on the horizon of a
non-commutative Yukawa-Schwarzschild black hole are analysed.Comment: 12 pages, 4 figure