Banca de QUALIFICAÇÃO: JOÃO GUILHERME RODRIGUES VALANGELIS

Uma banca de QUALIFICAÇÃO de MESTRADO foi cadastrada pelo programa.
DISCENTE: JOÃO GUILHERME RODRIGUES VALANGELIS
DATA: 14/07/2026
HORA: 16:00
LOCAL: Remota
TÍTULO: Estudo Analítico sobre o Espalhamento de Ondas Escalares em um Buraco Negro de Schwarzschild com Violação da Simetria de Lorentz
PALAVRAS-CHAVES: Black holes; Lorentz symmetry violation; Kalb-Ramond field; Hawking radiation; Quasinormal modes.
PÁGINAS: 40
GRANDE ÁREA: Ciências Exatas e da Terra
ÁREA: Física
RESUMO:

In this work, we investigate the scattering of a massless scalar wave by a
Schwarzschild black hole in gravity modified by a background Kalb-Ramond field,
which induces spontaneous Lorentz symmetry violation. The Klein-Gordon equation in
this background is solved analytically, and the radial part of the wave equation is
expressed in terms of confluent Heun functions. By analyzing the near-horizon
behavior of the scalar field, we derive the Hawking radiation spectrum and
demonstrate that Lorentz-violating effects enhance the effective temperature and the
emitted energy flux. In the asymptotic region, we show that the radial equation
reduces to a Coulomb-like form, allowing us to obtain closed-form expressions for the
phase shifts. It is shown that Lorentz symmetry violation significantly modifies both
the frequency dependence and the angular distribution of the scattered scalar waves.
In addition, we obtain the quasinormal mode spectrum under appropriate boundary
conditions and discuss its implications for the stability of the Lorentz-violating black
hole solution. Our analysis suggests that scalar-wave dynamics around black holes
provides a sensitive probe to test Lorentz-violating effects.

MEMBROS DA BANCA:
Externo ao Programa - 1391774 - AILTON CAMPOS DO NASCIMENTO
Interno - 1780191 - FRANCISCO ERONI PAZ DOS SANTOS
Presidente - 3331689 - HELDER ALEXANDER SANTOS E COSTA
Externo ao Programa - 3430956 - JORGIVAN MORAIS DIAS
Interno - 1650556 - TAYRONI FRANCISCO DE ALENCAR ALVES