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

36 papers

gr-qc2023★ 43 cited

Analog Schwarzschild black holes of Bose-Einstein condensates in a cavity: Quasinormal modes and quasibound states

H. S. Vieira, Kyriakos Destounis, Kostas D. Kokkotas

Analog models of black holes have unequivocally proven to be extremely beneficial in providing critical information regarding black hole spectroscopy, superradiance, quantum phenom…

gr-qc2022★ 1 cited

Quasibound states of analytic black-hole configurations in three and four dimensions

H. S. Vieira

In this work we analyze the sound perturbation of Unruh's acoustic effective geometry in both (2+1) and (3+1) spacetime dimensions and present an exact analytical expression for th…

gr-qc2022★ 11 cited

Quasibound states of scalar fields in the consistent 4D Einstein-Gauss-Bonnet-(Anti-)de Sitter gravity

H. S. Vieira, V. B. Bezerra, C. R. Muniz +1

We examine the interaction between massless scalar fields and the gravitational field generated by a black hole solution that was recently obtained in the consistent well-defined 4…

gr-qc2022★ 5 cited

Black strings from dark matter

Marcony S. Cunha, G. Alencar, Celio R. Muniz +2

In this paper, we obtain two different static black string solutions by considering as sources axisymmetric dark matter distributions in 3+1 dimensions. These solutions tend asympt…

gr-qc2021★ 48 cited

Slowly-rotating curved acoustic black holes: Quasinormal modes, Hawking-Unruh radiation and quasibound states

H. S. Vieira, Kyriakos Destounis, Kostas D. Kokkotas

Astrophysical black holes are generally surrounded by accretion disks, galactic matter and the omnipresent cosmic microwave background radiation, thus allowing for the concurrent p…

gr-qc2021★ 5 cited

On the Schwarzschild-Anti-de Sitter black hole with an f(R) global monopole

H. S. Vieira

In this work, we follow the recently revisited f(R) theory of gravity for studying the interaction between quantum scalar particles and the gravitational field of a generalized bla…

gr-qc2021

Some aspects of the five-dimensional Lovelock black hole spacetime: strong homotopy retract, perihelion precession and quasistationary levels

M. Abu-Saleem, H. S. Vieira

In this work we explore some mathematical physics aspects of the spherically symmetric Lovelock black hole in high dimensions. Intended for this aim, we thoroughly consider the met…

gr-qc2021★ 2 cited

Ellis-Bronnikov Wormholes in Asymptotically Safe Gravity

G. Alencar, V. B. Bezerra, C. R. Muniz +1

In this paper, we investigate the simplest wormhole solution - the Ellis-Bronnikov one - in the context of the Asymptotically Safe Gravity (ASG) at the Planck scale. We work with t…

gr-qc2021★ 37 cited

Instability of the charged massive scalar field on the Kerr-Newman black hole spacetime

H. S. Vieira, V. B. Bezerra, C. R. Muniz

We investigate the quasibound states of charged massive scalar fields in the Kerr-Newman black hole spacetime by using a new approach recently developed, which uses the polynomial…

gr-qc2021★ 28 cited

Quasibound States, Stability and Wave Functions of the Test Fields in the Consistent 4D Einstein-Gauss-Bonnet Gravity

H. S. Vieira

We examine the interaction between quantum test particles and the gravitational field generated by a black hole solution that was recently obtained in the consistent 4-dimensional…

gr-qc2021★ 75 cited

Quasibound states of Schwarzschild acoustic black holes

H. S. Vieira, Kostas D. Kokkotas

In this paper, we study the recently proposed Schwarzschild acoustic black hole spacetime, in which we investigate some physical phenomena related to the effective geometry of this…

gr-qc2020★ 14 cited

Class of solutions of the Wheeler-DeWitt equation with ordering parameter

H. S. Vieira, V. B. Bezerra, C. R. Muniz +2

In this letter, we discuss the Wheeler-DeWitt equation with an ordering parameter in the Friedmann-Robertson-Walker universe. The solutions when the universe was very small and at…

gr-qc2020★ 5 cited

Scalar fields in a five-dimensional Lovelock black hole spacetime

H. S. Vieira

We study the interaction between massive scalar fields and the gravitational field produced by a higher dimensional Schwarzschild solution in a string cloud model. Exact analytical…

gr-qc2019★ 7 cited

Resonant frequencies of a massless scalar field in the canonical acoustic black hole spacetime

H. S. Vieira, V. B. Bezerra

In this work we consider the exact solution of the Klein-Gordon equation describing a massless scalar field in the spacetime of a four dimensional canonical acoustic black hole, wh…

gr-qc2019★ 1 cited

Exact solutions of the Wheeler-DeWitt equation with ordering term in a dark energy scenario

C. R. Muniz, H. R. Christiansen, M. S. Cunha +1

We investigate the quantum evolution of the universe in the presence of two types of dark energies. First, we consider the phantom class () which would be responsible for a s…

gr-qc2019

Quantum relativistic cosmology: dynamical interpretation and tunneling universe

H. S. Vieira, V. B. Bezerra, C. R. Muniz +1

In this work the wave functions associated to the quantum relativistic universe, which is described by the Wheeler-DeWitt equation, are obtained. Taking into account different kind…

gr-qc2018★ 10 cited

Charged scalar fields in a Kerr-Sen black hole: exact solutions, Hawking radiation, and resonant frequencies

H. S. Vieira, V. B. Bezerra

In this study, we consider charged massive scalar fields around a Kerr-Sen spacetime. The radial and angular parts of the covariant Klein-Gordon equation are solved in terms of the…

gr-qc2018★ 4 cited

Some exact results on quantum Newtonian cosmology

H. S. Vieira, V. B. Bezerra, C. R. Muniz +1

We obtain the wave functions associated to the quantum Newtonian universe with a cosmological constant which is described by the Schrödinger equation and discuss some aspects of it…

gr-qc2018★ 3 cited

Resonant frequencies of a charged scalar field in the Garfinkle-Horowitz-Strominger dilaton black hole

H. S. Vieira, V. B. Bezerra, C. R. Muniz +1

We use the exact analytical solution of the radial part of the Klein-Gordon equation describing a charged massive scalar field in the electrically charged Garfinkle-Horowitz-Stromi…

gr-qc2018★ 5 cited

Spacetime geometry fluctuations and geodesic deviation

H. S. Vieira, L. H. Ford, V. B. Bezerra

The quantum fluctuations of the geodesic deviation equation in a flat background spacetime are discussed. We calculate the resulting mean squared fluctuations in the relative veloc…

gr-qc2017★ 5 cited

Scalar resonant frequencies and Hawking effect of an global monopole

H. S. Vieira, J. P. Morais Graça, V. B. Bezerra

Massive scalar fields are considered in the gravitational field produced by a Schwarzschild black hole with a global monopole in gravity. The exact solution of the radial pa…

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,…