Banca de DEFESA: CHRISTIAN NOBERTO DE SOUZA

Uma banca de DEFESA de DOUTORADO foi cadastrada pelo programa.
STUDENT : CHRISTIAN NOBERTO DE SOUZA
Date: 28/08/2026
TIME: 14:00
LOCAL: https://meet.google.com/jfi-nnjc-wea
TITLE:

Quantum-Corrected and Hairy Black Holes via Analogue Gravity

PAGES: 130
BIG AREA: Ciências Exatas e da Terra
AREA: Física
SUBÁREA: Física das Partículas Elementares e Campos
SPECIALTY: Teoria Geral de Partículas e Campos
SUMMARY:

This thesis establishes a theoretical framework connecting modified black hole geometries, obtained via gravitational decoupling and semiclassical corrections from the effective field theory of gravity, to analogue acoustic systems in Laval nozzles. The central objective is to investigate how controlled deviations from the Schwarzschild solution, characterized by hair parameters or by high-curvature quantum corrections, modify the effective potential of perturbations and can be mapped onto aerodynamic observables. The methodology combines the extended minimal geometric deformation formalism, subject to energy conditions, horizon structure, and asymptotic flatness, with the description of General Relativity as a low-energy effective field theory. This includes third-order curvature corrections associated with the Calmet-Kuipers metric. Scalar, vector, fermionic, and tensor perturbations are then reduced to Schrödinger-type equations in tortoise coordinates, allowing the same effective potential to be mapped onto the acoustic problem of an ideal, isentropic, transonic flow. The analogue construction is carried out through the aerodynamic factor $g_c=\rho_s A / c_s$, obtained via constraint equations, Frobenius expansion, and numerical integration, and applied to Laval nozzle profiles. The results show that the parameters $\alpha$, $\ell$, and $Q$ of the hairy solutions, as well as the effective coupling $c_6$, alter the nozzle geometry, Mach number, pressure, temperature, density, effective exhaust velocity, and thrust coefficient, with greater sensitivity in the fermionic sector than in the bosonic sectors. It is concluded that this mapping reframes hairy and quantum-corrected black hole solutions in aerodynamic terms, providing a complementary mathematical representation that enables their quasinormal spectra and associated parameter spaces to be examined through measurable profiles and flow quantities.

COMMITTEE MEMBERS:
Presidente - Interno ao Programa - 1574260 - ROLDAO DA ROCHA JUNIOR
Membro Titular - Examinador(a) Interno ao Programa - 1549709 - GERMAN LUGONES
Membro Titular - Examinador(a) Externo à Instituição - JULIO MARNY HOFF DA SILVA - UNESP
Membro Titular - Examinador(a) Externo à Instituição - ANDERSON ALVES TOMAZ
Membro Titular - Examinador(a) Externo à Instituição - ROGERIO TEIXEIRA CAVALCANTI - UERJ
Membro Suplente - Examinador(a) Interno ao Programa - 2616823 - ALYSSON FABIO FERRARI
Membro Suplente - Examinador(a) Externo ao Programa - 1765195 - RICARDO ROCAMORA PASZKO
Membro Suplente - Examinador(a) Externo à Instituição - PEDRO HENRIQUE MEERT FERREIRA - UNESP
Membro Suplente - Examinador(a) Externo à Instituição - GAYANE KARAPETYAN - UFABC