Banca de QUALIFICAÇÃO: Kayo Vaz da Silva Araújo

Uma banca de QUALIFICAÇÃO de DOUTORADO foi cadastrada pelo programa.
STUDENT : Kayo Vaz da Silva Araújo
DATE: 22/02/2024
TIME: 14:30
LOCAL: Remoto
TITLE:

Galilean Covariance in Curved Space

KEY WORDS:

Galilean covariance, curved space, non-relativistic black hole, covariant Schrödinger equation.

PAGES: 26
BIG AREA: Ciências Exatas e da Terra
AREA: Física
SUMMARY:

Galilean covariance allows for the analysis of non-relativistic phenomena without abandoning the consequences of the covariance principle. Thus, the formalism is used to construct a covariant Schrödinger equation, which is employed to describe a field of non-relativistic spinless particles. Galilean covariance can also be extended to curved spaces, enabling the construction of a non-relativistic black hole, Schwarzschild-like. In this way, the interaction between spinless particles and a non-relativistic black hole was studied in the vicinity of the event horizon. The solution of the Schrödinger equation in this curved space presents analytical solutions, in terms of confluent Heun functions. As a result, it was possible to observe that particles do not escape to infinity, exhibiting quantized energy levels. Additionally, by examining the transmission and reflection coefficients, it was also possible to demonstrate that there is no non-relativistic equivalent of Hawking radiation.

COMMITTEE MEMBERS:
Externo à Instituição - ADEMIR EUGENIO DE SANTANA - UnB
Externo à Instituição - ALESANDRO FERREIRA DOS SANTOS - UFMT
Presidente - 404867 - TARCISIO MARCIANO DA ROCHA FILHO