Black Hole Entropy with Modified Dispersion Relations

There is much interest in resolving the quantum corrections to Bekenstein-Hawking entropy with a largelength scale limit.The leading correction term is given by the logarithm of black hole area with a model-dependentcoefficient.Recently the research for quantum gravity implies the emergence of a modification of the energy-momentumdispersion relation (MDR),which plays an important role in the modified black hole thermodynamics.In this paper,weinvestigate the quantum corrections to Bekenstein-Hawking entropy in four-dimensional Schwarzschild black hole andReissner Nordstr(o|¨)m black hole respectively based on MDR.