Banca de DEFESA: PEDRO HENRIQUE MEERT FERREIRA

Uma banca de DEFESA de DOUTORADO foi cadastrada pelo programa.
DISCENTE : PEDRO HENRIQUE MEERT FERREIRA
DATA : 13/05/2022
HORA: 14:00
LOCAL: por participação remota
TÍTULO:

Investigating black holes on the brane using AdS/CFT correspondence and transport coefficients.

PÁGINAS: 130
GRANDE ÁREA: Ciências Exatas e da Terra
ÁREA: Física
SUBÁREA: Física das Partículas Elementares e Campos
ESPECIALIDADE: Teoria Geral de Partículas e Campos
RESUMO:

In this thesis, we apply the AdS/CFT correspondence to space-times associated wth extensions of General Relativity. We are particularly interested in calculating the transport coefficient , the shear viscosity, associated to the effective field theory whose dual is a black hole space-time in the bulk. The correspondence also allows us to compute thermodynamic quantities, of which the entropy, , plays a prominent role when combined with the shear viscosity by taking the ratio . This ratio is conjectured to have a minimum value of , in natural units. The main results presented in this thesis consist of calculating the ratio  for two different cases, and then applying the KSS conjecture - which establishes the minimum value for the ratio -, to investigate properties associated wth the deformed space-time metrics. A brief review of General Relativity and Black Holes is presented, and the so-called Brane World formalism is introduced, obtaining the equivalent of Einstein’s equations and Black Hole solutions on the brane, which can be seen as extensions of solutions known in General Relativity. We discuss the formulation of AdS/CFT correspondence, and how to apply it to compute transport coefficients. Then applying this knowledge to compute transport coefficients to the solutions constituting an extension of General Relativity. Naturally, throughout the process of developing this work other interesting questions arise, therefore we include two studies related to these developments. In one we investigate the computation of transport coefficients when we have a fermionic sector in the model. The second is a proposal on how to evaluate the consistency of AdS/CFT correspondence via the calculation of the Weyl anomaly.

MEMBROS DA BANCA:
Presidente - Interno ao Programa - 1574260 - ROLDAO DA ROCHA JUNIOR
Membro Titular - Examinador(a) Interno ao Programa - 1907614 - MAURICIO RICHARTZ
Membro Titular - Examinador(a) Externo à Instituição - NELSON RICARDO FREITAS BRAGA - UFRJ
Membro Titular - Examinador(a) Externo à Instituição - HENRIQUE BOSCHI FILHO - UFRJ
Membro Titular - Examinador(a) Externo à Instituição - HORATIU STEFAN NASTASE - UNESP
Membro Suplente - Examinador(a) Interno ao Programa - 1768463 - OLEXANDR ZHYDENKO
Membro Suplente - Examinador(a) Interno ao Programa - 1544374 - ALEX GOMES DIAS
Membro Suplente - Examinador(a) Externo à Instituição - JULIO MARNY HOFF DA SILVA - UNESP
Membro Suplente - Examinador(a) Externo à Instituição - ALEX EDUARDO DE BERNARDINI - UFSCAR