Quantum corpuscular corrections to the Newtonian potential

Autor: Roberto Casadio, Andrea Giugno, Andrea Giusti, Michele Lenzi
Přispěvatelé: Casadio, Roberto, Giugno, Andrea, Giusti, Andrea, Lenzi, Michele
Rok vydání: 2017
Předmět:
Zdroj: Physical Review D. 96
ISSN: 2470-0029
2470-0010
Popis: 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.
Comment: 26 pages, 4 figures. Typos corrected, references and clarifications added
Databáze: OpenAIRE