Quasinormal modes of Gauss-Bonnet black holes at large D

Self Cite

Abstract:We study the charged slowly rotating black holes in the Einstein-Maxwell theory in the large dimensions (D). By using the 1/D expansion in the near regions of the black holes we obtain the effective equations for the charged slowly rotating black holes. The effective equations capture the dynamics of various stationary solutions, including the charged black ring, the charged slowly rotating Myers-Perry black hole and the charged slowly boosted black string. Via different embeddings we construct these stationary solutions explicitly. For the charged black ring at large D, we find that the charge lowers the angular momentum due to the regularity condition on the solution. By performing the perturbation analysis of the effective equations, we obtain the quasinormal modes of the charge perturbation and the gravitational perturbation analytically. Like the neutral case the charged thin black ring suffers from the Gregory-Laflamme-like instability under the non-axisymmetric perturbations, but the charge weakens the instability. Besides, we find that the large D analysis always respects the cosmic censorship.

Section: Jhep04(2017)167mentioning

confidence: 99%

“…This makes the perturbation problems such as the computation of the quasinormal modes (QNMs) [7][8][9][10] much simpler. Moreover…”

Section: Introductionmentioning

confidence: 99%

Charged black rings at large D

Chen¹,

Li²,

Wang³

2017

Self Cite

“…The study of the Gauss-Bonnet black holes at large D was initiated in [20]. The quasinormal modes of the black holes in the large D limit have been computed carefully.…”

Section: Jhep05(2017)025mentioning

confidence: 99%

“…It was found that the decoupled quasinormal modes, which characterize the information of the black hole, share the similar features as the ones in the Einstein gravity. The computation of the quasinormal modes in [20] relied on the master equations of the fluctuations. On the other hand, it turns out to be more efficient at large D to study the black hole dynamics using the effective theory.…”

Section: Jhep05(2017)025mentioning

confidence: 99%

“…For a Gauss-Bonnet black hole with a positive cosmological constant, it was shown in [24] that the black holes becomes unstable in D ≥ 5 dimensions at sufficiently large values of the cosmological constant. 1 In [20], the instability of the asymptotically flat Gauss-Bonnet black holes at large D has been discussed in two interesting limits. One limit is that the Gauss-Bonnet term can be treated as a small correction to the Einstein gravity, and the other one is to let the Gauss-Bonnet term be dominant.…”

Section: Jhep05(2017)025mentioning

confidence: 99%

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Static Gauss-Bonnet black holes at large D

Chen¹,

Li²

2017

Self Cite

We study the static black holes in the large D dimensions in the Gauss-Bonnet gravity with a cosmological constant, coupled to the Maxewell theory. After integrating the equation of motion with respect to the radial direction, we obtain the effective equations at large D to describe the nonlinear dynamical deformations of the black holes. From the perturbation analysis on the effective equations, we get the analytic expressions of the frequencies for the quasinormal modes of charge and scalar-type perturbations. We show that for a positive Gauss-Bonnet term, the black hole could become unstable only if the cosmological constant is positive, otherwise the black hole is always stable. However, for a negative Gauss-Bonnet term, we find that the black hole could always be unstable. The instability of the black hole depends not only on the cosmological constant and the charge, but also significantly on the Gauss-Bonnet term. Moreover, at the onset of instability there is a non-trivial static zero-mode perturbation, which suggests the existence of a new nonspherically symmetric solution branch. We construct the non-spherical symmetric static solutions of the large D effective equations explicitly.

The large D membrane paradigm for Einstein-Gauss-Bonnet gravity

Saha

2019

We find the equations of motion of membranes dual to the black holes in Einstein-Gauss-Bonnet (EGB) gravity to leading order in 1/D in the large D regime. We also find the metric solutions to the EGB equations to first subleading order in 1/D in terms of membrane variables. We propose a world volume stress tensor for the membrane whose conservation equations are equivalent to the leading order membrane equations. We work out the light quasi-normal mode spectrum of static black holes in EGB gravity from the linearised fluctuations of static, round membranes. Also, the effective equations for stationary black holes and the spectrum of linearised spectrum about black string configurations has been obtained using the membrane equation for EGB gravity. All our results are worked out to linear order in the Gauss-Bonnet parameter.