Eur. Phys. J. C (2015) 75: 425
https://doi.org/10.1140/epjc/s10052-015-3635-y

Regular Article - Theoretical Physics

Gravitational tests of the generalized uncertainty principle

¹ Department of Mathematics, College of Engineering, American University of the Middle East, P.O. Box 220, 15453, Dasman, Kuwait
² Dipartimento di Matematica, Politecnico di Milano, Piazza Leonardo da Vinci 32, 20133, Milan, Italy
³ Dipartimento di Fisica e Astronomia, Alma Mater Università di Bologna, via Irnerio 46, 40126, Bologna, Italy
⁴ INFN, Sezione di Bologna, viale Bert Pichat 6/2, 40127, Bologna, Italy

^* e-mail: fabio@phys.ntu.edu.tw

Received: 18 April 2015
Accepted: 18 August 2015
Published online: 15 September 2015

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.