Black Hole Corrections due to Minimal Length and Modified Dispersion Relation

Understand

The generalized uncertainty principles (GUP) and modified dispersion relations (MDR) are much like two faces for one coin in research for the phenomenology of quantum gravity which apparently plays an important role in estimating the possible modifications of the black hole thermodynamics and the Friedmann equations.

• We first reproduce the horizon area for different types of black holes and investigate the quantum corrections to Bekenstein-Hawking entropy (entropy-area law).
• Based on this, we study further thermodynamical quantities and accordingly the modified Friedmann equation in four-dimensional de Sitter-Schwarzschild, Reissner-N\"{o}rdstrom and Garfinkle-Horowitz-Strominger black holes.
• In doing this we applied various quantum gravity approaches.