Black hole remnant and quantum tunnelling in three-dimensional Godel spacetime

Using the modified Dirac equation in a three-dimensional gravity background, we investigate the quantum correction to tunnelling radiation from a Godel black hole, and discuss the black hole remnant employing fermion's tunnelling. The corrected tunnelling probability is derived, and the modified Hawking temperature is found as well. It is worth emphasizing that, only when the condition j > a omega(3r(-) - r(+)) is satisfied, emitting both a mass particle and a massless particle, the remnant of the Godel black hole may arise.