paper

Quantum post-Newtonian theory for corpuscular Black Holes

arXiv:1710.04487 · doi:10.1088/1742-6596/942/1/012012

Abstract

We discuss an effective theory for the quantum static gravitational potential in spherical symmetry up to the first post-Newtonian correction. We build a suitable Lagrangian from the weak field limit of the Einstein-Hilbert action coupled to pressureless matter. Classical solutions of the field equation lead to the correct post-Newtonian expansion. Furthermore, we portray the Newtonian results in a quantum framework by means of a coherent quantum state, which is properly corrected to accomodate post-Newtonian corrections. These considerations provide a link between the corpuscular model of Dvali and Gomez and standard post-Newtonian gravity, laying the foundations for future research.

arXiv comment6 pages, no figures, talk presented at the 3rd Karl Schwarzschild Meeting (2017)

References in corpus (24)