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Exact solutions of the Klein-Gordon equation in the Kerr-Newman background and Hawking radiation

- H. S. Vieira, V. Bezerra, C. Muniz
- Physics
- 21 January 2014

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

- H. S. Vieira, V. Bezerra
- Physics
- 7 March 2016

The Klein–Gordon equation in the spacetime of a charged and rotating black hole

- V. Bezerra, H. S. Vieira, A. Costa
- Physics
- 17 December 2013

This work deals with the influence of the gravitational field produced by a charged and rotating black hole (Kerr–Newman spacetime) on massive scalar fields. We obtain an exact solution of the… Expand

Spacetime geometry fluctuations and geodesic deviation

- H. S. Vieira, L. Ford, V. Bezerra
- PhysicsPhysical Review D
- 14 May 2018

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 velocity and separation… Expand

Lagrangian formulation of Newtonian cosmology

- H. S. Vieira, V. Bezerra
- Physics
- 25 January 2014

In this paper, we use the Lagrangian formalism of classical mechanics and some assumptions to obtain cosmological differential equations analogous to Friedmann and Einstein equations, obtained from… Expand

Garfinkle-Horowitz-Strominger dilaton black hole: resonant frequency, thermodynamics and Hawking radiation

- H. S. Vieira, V. Bezerra, C. Muniz, M. O. Tahim, M. S. Cunha
- Physics
- 24 July 2018

We obtain the exact solutions of both angular and radial parts of the Klein-Gordon equation describing a charged massive scalar fields in the Garfinkle-Horowitz-Strominger black hole spacetime, which… Expand

On the global Casimir effect in the Schwarzschild spacetime

- C. Muniz, M. O. Tahim, M. S. Cunha, H. S. Vieira
- Physics
- 22 October 2015

In this paper we study the vacuum quantum fluctuations of the stationary modes of an uncharged scalar field with mass m around a Schwarzschild black hole with mass M, at zero and non-zero… Expand

Klein-Gordon equation and Hawking radiation in the dyon black hole with a cosmic string

- H. S. Vieira, V. Bezerra, G. V. Silva
- Physics
- 2 January 2015

Scalar and spinor QNMs of a black hole with a global monopole in f (R) gravity

- J. M. Graça, H. S. Vieira, V. Bezerra
- Physics
- 5 March 2016

The quasinormal modes for scalar and spinor fields in the background spacetime corresponding to a black hole with a global monopole in f(R) gravity are calculated using the WKB approximation. In the… Expand

Quantum Newtonian cosmology and the biconfluent Heun functions

- H. S. Vieira, V. Bezerra
- Physics
- 10 February 2015

We obtain the exact solution of the Schrodinger equation for a particle (galaxy) moving in a Newtonian universe with a cosmological constant, which is given in terms of the biconfluent Heun… Expand

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