Chern-Simons black holes: scalar perturbations, mass and area spectrum and greybody factors

González, P. A.; Papantonopoulos, Eleftherios; Saavedra, Joel

doi:10.1007/jhep08(2010)050

Cited by 59 publications

(31 citation statements)

References 66 publications

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“…With this identification, the constant γ for a Schwarzschild black hole becomes γ = 8π, a result that coincides with the value calculated by other methods [20]. The consequences of Hod's and Maggiore's proposals were promptly studied in several spacetimes [21,22].…”

Section: Introductionsupporting

confidence: 66%

Stability analysis and area spectrum of three-dimensional Lifshitz black holes

2012

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In this work, we probe the stability of a z = 3 three-dimensional Lifshitz black hole by using scalar and spinorial perturbations. We found an analytical expression for the quasinormal frequencies of the scalar probe field, which perfectly agree with the behavior of the quasinormal modes obtained numerically. The results for the numerical analysis of the spinorial perturbations reinforce the conclusion of the scalar analysis, i.e., the model is stable under scalar and spinor perturbations. As an application we found the area spectrum of the Lifshitz black hole, which turns out to be equally spaced.

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Section: Introductionsupporting

confidence: 66%

Stability analysis and area spectrum of three-dimensional Lifshitz black holes

2012

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“…Usually it is not easy to find an exact solution of the perturbation equations, though several exceptions exist. In [11] in a similar fashion with [29] exact solutions for the perturbation equations in terms of hypergeometric functions were obtained for the case of five-dimensional GaussBonnet-AdS black holes with the fixed coupling constant α 2 = R 2 /2. We believe that the eigenvalue problem in this more general case of the dimensionally continued BTZ black holes can be solved analytically in a similar manner as for n = 3 in [29].…”

Section: Perturbation Equationsmentioning

confidence: 90%

“…In [11] in a similar fashion with [29] exact solutions for the perturbation equations in terms of hypergeometric functions were obtained for the case of five-dimensional GaussBonnet-AdS black holes with the fixed coupling constant α 2 = R 2 /2. We believe that the eigenvalue problem in this more general case of the dimensionally continued BTZ black holes can be solved analytically in a similar manner as for n = 3 in [29]. For us, however, it is important only that the dominant (at high ℓ) part of the effective potentials (4.6) say us that there must be an evident eikonal instability in the scalar sector while the perturbations of vector type and tensor type are linearly stable.…”

Section: Perturbation Equationsmentioning

confidence: 90%

The portrait of eikonal instability in Lovelock theories

Konoplya¹,

Zhidenko²

2017

J. Cosmol. Astropart. Phys.

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Abstract. Perturbations and eikonal instabilities of black holes and branes in the EinsteinGauss-Bonnet theory and its Lovelock generalization were considered in the literature for several particular cases, where the asymptotic conditions (flat, dS, AdS), the number of spacetime dimensions D, non-vanishing coupling constants (α 1 , α 2 , α 3 etc.) and other parameters have been chosen in a specific way. Here we give a comprehensive analysis of the eikonal instabilities of black holes and branes for the most general Lovelock theory, not limited by any of the above cases. Although the part of the stability analysis is performed here purely analytically and formulated in terms of the inequalities for the black hole parameters, the most general case is treated numerically and the accurate regions of instabilities are presented. The shared Mathematica R code allows the reader to construct the regions of eikonal instability for any desired values of the parameters.

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“…Also, we observe that in the low frequency limit, there is a range of values of κ which contribute to the absorption cross section (see Fig. 3), as occurs in [87][88][89][110][111][112][113] and in the high frequency limit the absorption cross section tends to zero. In addition, we observe a local minimum and a local maximum in the region of low frequencies.…”

Section: Absorption Cross Sectionmentioning

confidence: 63%

Fermionic field perturbations of a three-dimensional Lifshitz black hole in conformal gravity

González¹,

Vásquez²,

Villalobos³

2017

Eur. Phys. J. C

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We study the propagation of massless fermionic fields in the background of a three-dimensional Lifshitz black hole, which is a solution of conformal gravity. The black-hole solution is characterized by a vanishing dynamical exponent. Then we compute analytically the quasinormal modes, the area spectrum, and the absorption cross section for fermionic fields. The analysis of the quasinormal modes shows that the fermionic perturbations are stable in this background. The area and entropy spectrum are evenly spaced. In the low frequency limit, it is observed that there is a range of values of the angular momentum of the mode that contributes to the absorption cross section, whereas it vanishes in the high frequency limit. In addition, by a suitable change of variables a gravitational soliton can also be obtained and the stability of the quasinormal modes are studied and ensured.

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Chern-Simons black holes: scalar perturbations, mass and area spectrum and greybody factors

Cited by 59 publications

References 66 publications

Stability analysis and area spectrum of three-dimensional Lifshitz black holes

Stability analysis and area spectrum of three-dimensional Lifshitz black holes

The portrait of eikonal instability in Lovelock theories

Fermionic field perturbations of a three-dimensional Lifshitz black hole in conformal gravity

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