Tunnelling mechanism in non-commutative space with generalized uncertainty principle and Bohr-like black hole

Understand

The paper deals with non-thermal radiation spectrum by tunnelling mechanism with correction due to the generalized uncertainty principle (GUP) in the background of non-commutative geometry.

• Considering the reformulation of the tunnelling mechanism by Banerjee and Majhi, the Hawking radiation spectrum is evaluated through the density matrix for the outgoing modes.
• The GUP corrected effective temperature and the corresponding GUP corrected effective metric in non-commutative geometry are determined using Hawking's periodicity arguments.
• Thus, we obtain further corrections to the non-strictly thermal black hole (BH) radiation spectrum which give new final distributions.