Perihelion Precession and Generalized Uncertainty Principle

Abstract

We compute the corrections to the Schwarzschild metric necessary to reproduce the Hawking temperature derived from a Generalized Uncertainty Principle (GUP), so that the GUP deformation parameter is directly linked to the deformation of the metric. Using this modified Schwarzschild metric, we compute corrections to the standard General Relativistic predictions for the perihelion precession for planets in the solar system. This analysis allows us to set bounds for the GUP deformation parameter from well-known astronomical measurements.