Exact quasinormal frequencies of the Dirac field in a Lifshitz black brane

Parga-Regalado, A.M. Ares de; López-Ortega, A.

doi:10.1007/s10714-018-2437-6

Cited by 4 publications

(23 citation statements)

References 43 publications

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“…By imposing the Dirichlet boundary condition at the asymptotic region and in the zero momentum limit, we extend the results presented in Refs. [5,6], where the QNM exact solutions are found for Klein-Gordon (KG) and Dirac fields propagating in an asymptotically Lifshitz black brane [24,25], and in this paper we give more general results than in Ref. [6] for the exact solutions of the fermionic field.…”

Section: Introductionmentioning

confidence: 82%

“…[5,6], where the QNM exact solutions are found for Klein-Gordon (KG) and Dirac fields propagating in an asymptotically Lifshitz black brane [24,25], and in this paper we give more general results than in Ref. [6] for the exact solutions of the fermionic field. Furthermore, for the KG field we numerically calculated its QNF for the non-exactly solvable cases and we analyze again the examples considered for the first time in [5], we extend it for the Dirac field and we give analytical approximations for our numerical QNF of both fields.…”

Section: Introductionmentioning

confidence: 82%

“…In the study of perturbed spacetimes it can be found a well defined set of proper oscillations known as quasinormal modes (QNM), in order to find these QNM solutions particular boundary conditions have to be fulfilled. When the spacetime has an event horizon the perturbation has to be purely ingoing near it, due to the fact that classically nothing can escape from the black hole or black brane, whereas the other boundary condition depend on the asymptotic structure of the spacetime [1][2][3][4][5][6][7][8]. Associated to the QNM it is found a complex set of frequencies, named as quasinormal frequencies (QNF), which depend on the parameters of the spacetime and the perturbation itself.…”

Section: Introductionmentioning

confidence: 99%

“…Therefore, it is relevant to compute the QNF spectrum in Lifshitz spacetimes, so that we can compute the relaxation times of the associated dual field theory and in Refs. [5,6,[13][14][15][16][17][18][19][20] we can look at some examples. Even though the electromagnetic, scalar and fermionic perturbations are sometimes easier to study than the metric perturbations, the equations of motion that describe the dynamics of the perturbations does not always allow us to find analytical solutions, actually there exist several cases of perturbations for Lifshitz spacetimes where the problem has to be treated numerically and usually there is not an evident analytical expression which describes the numerical QNF [5,7,17,19,20].…”

Section: Introductionmentioning

confidence: 99%

“…3 we write the equations of motion for the Dirac field, study again the exactly solvable example of Ref. [6] and analyze a limit of the equations of motion where we find analytical solutions. In Sect.…”

Section: Introductionmentioning

confidence: 99%

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Numerical calculation of the quasinormal frequencies for the Dirac field in a Lifshitz black brane

Parga-Regalado

López-Ortega

2020

Eur. Phys. J. C

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In the zero momentum limit we numerically calculate the quasinormal frequencies of the massive Dirac field propagating in a Lifshitz black brane. We focus on the non-exactly solvable cases for the fermionic perturbations, so that our results are an extension of the examples already reported for the massive Klein–Gordon and Dirac fields in the zero momentum limit. Based on our numerical results, we propose an analytical approximation of the obtained quasinormal frequencies of the Dirac field and compare their behavior with those of the Klein–Gordon field. We extend the results on the Klein–Gordon quasinormal frequencies already published. Furthermore, by imposing the Dirichlet boundary condition at the asymptotic region, we are able to find more general results for the fermionic exactly solvable case previously studied.

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Section: Introductionmentioning

confidence: 82%

Section: Introductionmentioning

confidence: 82%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Numerical calculation of the quasinormal frequencies for the Dirac field in a Lifshitz black brane

Parga-Regalado

López-Ortega

2020

Eur. Phys. J. C

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Exact scalar (quasi-)normal modes of black holes and solitons in gauged SUGRA

Monserrat

Hernández

Mena

et al. 2022

J. High Energ. Phys.

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In this paper we identify a new family of black holes and solitons that lead to the exact integration of scalar probes, even in the presence of a non-minimal coupling with the Ricci scalar which has a non-trivial profile. The backgrounds are planar and spherical black holes as well as solitons of SU (2) × SU (2) $$ \mathcal{N} $$ N = 4 gauged supergravity in four dimensions. On these geometries, we compute the spectrum of (quasi-)normal modes for the non-minimally coupled scalar field. We find that the equation for the radial dependence can be integrated in terms of hypergeometric functions leading to an exact expression for the frequencies. The solutions do not asymptote to a constant curvature spacetime, nevertheless the asymptotic region acquires an extra conformal Killing vector. For the black hole, the scalar probe is purely ingoing at the horizon, and requiring that the solutions lead to an extremum of the action principle we impose a Dirichlet boundary condition at infinity. Surprisingly, the quasinormal modes do not depend on the radius of the black hole, therefore this family of geometries can be interpreted as isospectral in what regards to the wave operator non-minimally coupled to the Ricci scalar. We find both purely damped modes, as well as exponentially growing unstable modes depending on the values of the non-minimal coupling parameter. For the solitons we show that the same integrability property is achieved separately in a non-supersymmetric solutions as well as for the supersymmetric one. Imposing regularity at the origin and a well defined extremum for the action principle we obtain the spectra that can also lead to purely oscillatory modes as well as to unstable scalar probes, depending on the values of the non-minimal coupling.

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Quasinormal Modes of the Planar Black Holes of a Particular Lovelock Theory

Wen¹,

Lin²,

Qian³

2018

Commun. Theor. Phys.

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In this work, we study the scalar quasinormal modes of a planar black hole metric in asymptotic anti-de Sitter spacetime derived from a particular Lovelock theory. The quasinormal frequencies are evaluated by adopting the Horowitz-Hubeny method as well as a matrix formalism. Also, the temporal evolution of small perturbations is studied by using finite difference method. The roles of the dimension of the spacetime, the parameter of the metric k, as well as the temperature of the background black hole, are discussed. It is observed that the particular form of the metric leads to quasinormal frequencies whose real parts are numerically insignificant. The black hole metric is found to be stable against small scalar perturbations.

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Exact quasinormal frequencies of the Dirac field in a Lifshitz black brane

Cited by 4 publications

References 43 publications

Numerical calculation of the quasinormal frequencies for the Dirac field in a Lifshitz black brane

Numerical calculation of the quasinormal frequencies for the Dirac field in a Lifshitz black brane

Exact scalar (quasi-)normal modes of black holes and solitons in gauged SUGRA

Quasinormal Modes of the Planar Black Holes of a Particular Lovelock Theory

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