Gravitational tests of the generalized uncertainty principle

The European Physical Journal C

Fabio Scardigli¹  Roberto Casadio² 

[1] Department of Mathematics, College of Engineering, American University of the Middle East, P.O. Box 220, 15453, Dasman, Kuwait;Dipartimento di Matematica, Politecnico di Milano, Piazza Leonardo da Vinci 32, 20133, Milan, Italy;Dipartimento di Fisica e Astronomia, Alma Mater Università di Bologna, via Irnerio 46, 40126, Bologna, Italy;INFN, Sezione di Bologna, viale Bert Pichat 6/2, 40127, Bologna, Italy;

关键词: Black Hole;    Poisson Bracket;    Equivalence Principle;    Generalize Uncertainty Principle;    Standard Quantum Mechanic;   

DOI  :  10.1140/epjc/s10052-015-3635-y

来源: Springer

【 摘 要 】

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.

【 授权许可】

CC BY