FIS/02 Fisica teorica, modelli e metodi matematici
Description
The aim of this thesis is to entertain the possibility of a quantum departure from the
general relativistic description of compact sources in strong field regime and claim that
a quantum understanding of the classical background could be necessary. We therefore
develop an effective field theory providing a simplified framework to address the effects
of non-linearities in strong gravitational backgrounds. Starting from a massless Fierz-
Pauli-type lagrangian for the Newtonian potential and introducing the self-coupling
terms, we arrive at a non-linear equation describing the effective gravitational potential
of an arbitrarily compact homogeneous source. Unlike the general relativistic solutions
no Buchdahl limit is found as the solutions display a regular behaviour in any compactness
regime. Moreover, we provide a quantum interpretation of these results in terms
of a quantum coherent state formalism. Such an approach proves to be widely capable
of accounting for classical field configurations as well as providing some collective
properties of the constituent soft quanta. The latter show a good agreement with some
of the crucial relations of the corpuscular model. We do not interpret this approach
as a model of phenomenological relevance but better as a simplified picture aimed at
capturing novel quantum feature of black holes physics.
Lenzi, Michele (2021) Bootstrapped Newtonian gravity, [Dissertation thesis], Alma Mater Studiorum Università di Bologna. Dottorato di ricerca in Fisica , 33 Ciclo. DOI 10.48676/unibo/amsdottorato/9865.