Quantum corpuscular corrections to the Newtonian potential
Autor: | Roberto Casadio, Andrea Giugno, Andrea Giusti, Michele Lenzi |
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Přispěvatelé: | Casadio, Roberto, Giugno, Andrea, Giusti, Andrea, Lenzi, Michele |
Rok vydání: | 2017 |
Předmět: |
High Energy Physics - Theory
Physics Quantum Physics Physics::General Physics Newtonian potential 010308 nuclear & particles physics FOS: Physical sciences Classical field theory Black holes quantum gravity General Relativity and Quantum Cosmology (gr-qc) 01 natural sciences General Relativity and Quantum Cosmology Action (physics) Gravitational potential Classical mechanics High Energy Physics - Theory (hep-th) Quantum state 0103 physical sciences Newtonian fluid Quantum Physics (quant-ph) 010306 general physics Quantum Coherence (physics) |
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 |
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