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arXiv · 1702.05918

Quantum corpuscular corrections to the Newtonian potential

Roberto Casadio·Andrea Giugno·Andrea Giusti·Michele Lenzi
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Abstract

We study an effective quantum description of the static gravitational potential for spherically symmetric systems up to the first post-Newtonian order. We start by obtaining a Lagrangian for the gravitational potential coupled to a static matter source from the weak field expansion of the Einstein-Hilbert action. By analysing a few classical solutions of the resulting field equation, we show that our construction leads to the expected post-Newtonian expressions. Next, we show that one can reproduce the classical Newtonian results very accurately by employing a coherent quantum state and modifications to include the first post-Newtonian corrections are considered. Our findings establish a connection between the corpuscular model of black holes and post-Newtonian gravity, and set the stage for further investigations of these quantum models.

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Roberto Casadio, Andrea Giugno, Andrea Giusti, Michele Lenzi. 2017-02-27. Quantum corpuscular corrections to the Newtonian potential. https://doi.org/10.1103/physrevd.96.044010

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