Gravitational tests of the 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 light deflection and perihelion precession, both for planets in the solar system and for binary pulsars. This analysis allows us to set bounds for the GUP deformation parameter from well-known astronomical measurements.

20 pages, 2 figures

References in corpus (9)

• Universality of Quantum Gravity Corrections
• Timing Measurements of the Relativistic Binary Pulsar PSR B1913+16
• The effects of minimal length and maximal momentum on the transition rate of ultra cold neutrons in gravitational field
• Probing deformed commutators with macroscopic harmonic oscillators
• A Higher Order GUP with Minimal Length Uncertainty and Maximal Momentum II: Applications
• Black holes thermodynamics to all orders in the Planck length in extra dimensions
• Black holes as self-sustained quantum states, and Hawking radiation
• On the Stability of Planetary Circular Orbits in Noncommutative Spaces
• Implication of geodesic equation in Generalized Uncertainty Principle framework

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