Black hole evaporation and its remnants with the generalized uncertainty principle including a linear term

In recent years, researchers have investigated the evaporation of Schwarzschild black holes using various forms of the generalized uncertainty principle (GUP), metric quantum correction, and non-commutative geometry, respectively. However, there are differences between the GUP correction and the other two methods in terms of describing the later stages of black hole evaporation. Furthermore, some studies argue that the GUP with a negative parameter cannot effectively correct for black hole evaporation, while others contend that the positivity or negativity of the GUP parameters should not affect the correction results. Taking the above into consideration, we reconsider black hole evaporation with the generalized uncertainty principle including a linear term (LGUP), and examine the case of negative parameters. The results indicate that the evaporation behavior of both Schwarzschild black holes and Reissner-Nordström black holes, under LGUP correction, is consistent with the results of metric quantum correction and non-commutative geometry. Additionally, the negative parameter LGUP can also effectively correct for black hole evaporation.