activity
20132023
most citedConfluent Heun functions and the physics of black holes: resonant frequencies, Hawking radiation and scattering of scalar waves

107 citations · 698 across the 36 of their papers we have counts for

collaborators
Showing 2016Show all

5 papers · 1 filter

gr-qc2016★ 6 cited

Analytic solutions in the acoustic black hole analogue of the conical Kerr metric

H. S. Vieira

We study the sound perturbation of a rotating acoustic black hole in the presence of a disclination. The radial part of the massless Klein-Gordon equation is written into a Heun fo…

gr-qc2016★ 2 cited

Variations in the fine structure constant constraining gravity theories

V. B. Bezerra, M. S. Cunha, C. R. Muniz +2

In this paper, we investigate how the fine structure constant, , locally varies in the presence of a static and spherically symmetric gravitational source. The procedure consist…

gr-qc2016

Quantum effects in Reissner-Nordström black hole surrounded by magnetic field: the scalar wave case

H. S. Vieira, V. B. Bezerra

We apply the confluent Heun functions to study the resonant frequencies (quasispectrum), the Hawking radiation and the scattering process of scalar waves, in a class of spacetimes,…

gr-qc2016★ 13 cited

Class of solutions of the Wheeler-DeWitt equation in the Friedmann-Robertson-Walker universe

H. S. Vieira, V. B. Bezerra

We show that the solutions of the Wheeler-DeWitt equation in a homogeneous and isotropic universe are given by triconfluent Heun functions for the spatially closed, flat, and open…

gr-qc2016★ 107 cited

Confluent Heun functions and the physics of black holes: resonant frequencies, Hawking radiation and scattering of scalar waves

H. S. Vieira, V. B. Bezerra

We apply the confluent Heun functions to study the resonant frequencies (quasispectrum), the Hawking radiation and the scattering process of scalar waves, in a class of spacetimes,…