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Barcelò, C., Liberatib, S., Sonegoc, S. and Visser, M. (2009) Revisiting the Semiclassical Gravity Scenario for Gravitational Collapse. AIP Conference Proceedings, 1122, 99. https://doi.org/10.1063/1.3141347

has been cited by the following article:

• TITLE: The Cosmological Constant: 2nd Order Quantum-Mechanical Correction to the Newton Gravity

  AUTHORS: Piero Chiarelli

  KEYWORDS: Non-Minkowskian Hydrodynamic Representation of Quantum Equations, Einstein Gravity of Classical Fields, Energy-Impulse Tensor of Classical Klein-Gordon Field, Cosmological Constant

  JOURNAL NAME: Open Access Library Journal, Vol.6 No.5, May 27, 2019

  ABSTRACT: The work shows that the associated Einstein-like gravity for the Klein-Gordon field shows the spontaneous emergence of the “cosmological” pressure tensor density (CPTD) that in the classical limit leads to the cosmological constant (CC). Even if the classical cosmological constant is set to zero, the model shows, that exists a residual theory-derived quantum CPTD. The work shows that the cosmological constant can be considered as a second order quantum-mechanical correction to the Newtonian gravity. The outputs of the theory show that the expectation value of the CPTD is independent by the zero-point vacuum energy density and that it takes contribution only from the space where the mass is localized (and the space-time is curvilinear) while tending to zero as the space-time approaches to the flat vacuum. A developed model of scalar matter universe shows an overall cosmological effect of the CPTD on the motion of the galaxies that agrees with the astronomical observations.