  A calculation by Jacobson [1] strongly implies that the field equations which
describe gravity are emergent phenomena. In this paper, the method is extended
to the case of a non-commutative spacetime. By making use of a non-commutative
version of the Raychaudhuri equation, a new set of non-commutative Einstein
equations is derived. The results demonstrate that it is possible to use
spacetime thermodynamics to work with non-commutative gravity without the need
to vary a non-commutative action.
