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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…
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…
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…
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…
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…
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…
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…
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