Quasinormal modes of black holes localized on the Randall-Sundrum 2-brane

Nozawa, Masato; Kobayashi, Tsutomu

doi:10.1103/physrevd.78.064006

Cited by 16 publications

(15 citation statements)

References 78 publications

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“…The quasinormal spectrum of the scalar field was studied for the neutral 136 144 . The standard model fields were also considered in the scenario of the three-brane with finite tension in the six-dimensional bulk 145,146 and on the two-brane in the four-dimensional version of the RandallSundrum model 147 . In higher-dimensional space-time one can consider more complicated black hole configurations, which were studied for the particular case of five-dimensional spacetime.…”

Section: Randall-sundrum Modelsmentioning

confidence: 99%

Quasinormal modes of black holes: From astrophysics to string theory

2011

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Perturbations of black holes, initially considered in the context of possible observations of astrophysical effects, have been studied for the past ten years in string theory, brane-world models and quantum gravity. Through the famous gauge/gravity duality, proper oscillations of perturbed black holes, called quasinormal modes (QNMs), allow for the description of the hydrodynamic regime in the dual finite temperature field theory at strong coupling, which can be used to predict the behavior of quark-gluon plasmas in the nonperturbative regime. On the other hand, the brane-world scenarios assume the existence of extra dimensions in nature, so that multidimensional black holes can be formed in a laboratory experiment. All this stimulated active research in the field of perturbations of higher-dimensional black holes and branes during recent years. In this review recent achievements on various aspects of black hole perturbations are discussed such as decoupling of variables in the perturbation equations, quasinormal modes (with special emphasis on various numerical and analytical methods of calculations), late-time tails, gravitational stability, AdS/CFT interpretation of quasinormal modes, and holographic superconductors. We also touch on state-of-the-art observational possibilities for detecting quasinormal modes of black holes.

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Section: Randall-sundrum Modelsmentioning

confidence: 99%

Quasinormal modes of black holes: From astrophysics to string theory

2011

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“…This solution is beyond the separable ansatz discussed in ref. [27] for conformal wave equations in PD family. Alternatively, the conformal factor can be determined by the relationĝ µν = (C ρστ λ C ρστ λ ) 1/3 g µν [55,62], on the basis of ambi-Kähler structure.…”

Section: Transformations To the Przanowski-tod Metricmentioning

confidence: 99%

“…The CKY tensor in the PD spacetime allows the integrability and the separation of variables only for conformally invariant field equations. See e.g [27].…”

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confidence: 99%

Killing–Yano tensor and supersymmetry of the self-dual Plebański–Demiański solution

Nozawa

Houri

2016

Class. Quantum Grav.

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We explore various aspects of the self-dual Plebański-Demiański family in the Euclidean EinsteinMaxwell-Λ system. The Killing-Yano tensor which was recently found by Yasui and one of the present authors allows us to prove that the self-dual Plebański-Demiański metric can be brought into the self-dual Carter metric by an orientation-reversing coordinate transformation. We show that the self-dual Plebański-Demiański solution admits two independent Killing spinors in the framework of N = 2 minimal gauged supergravity, whereas the non-self-dual solution admits only a single Killing spinor. This can be demonstrated by casting the self-dual Plebański-Demiański metric into two distinct Przanowski-Tod forms. As a by-product, a new example of the three-dimensional Einstein-Weyl space is presented. We also prove that the self-dual Plebański-Demiański metric falls into two different Calderbank-Pedersen families, which are determined by a single function subjected to a linear equation on the two dimensional hyperbolic space. Furthermore, we consider the hyper-Kähler case for which the metric falls into the Gibbons-Hawking class. We find that the condition for the nonexistence of Dirac-Misner string enforces the solution with a nonvanishing acceleration parameter to the Eguchi-Hanson space.

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“…Ref. 144) found linearized equations for conformal scalar, Maxwell and massless Dirac fields on this background become separable. Using this property, they studied quasinormal modes for those fields, and found that their radial part coincides with that for four-dimensional Schwarzschild black hole while angular part is modulated due to existence of the brane.…”

Section: Exact Solutions In Lower-dimensional Modelmentioning

confidence: 99%

Chapter 8. Black Holes in Braneworld Models

Tanahashi

Tanaka

2011

Prog. Theor. Phys. Suppl.

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In this review, we summarize current understandings of black hole solutions in various braneworld models, including the Arkani-Hamed-Dimopoulos-Dvali model, the Randall-Sundrum (RS) models, Karch-Randall (KR) model and the Dvali-Gabadadze-Porrati model. After illustrating basic properties of each braneworld model, we introduce the bulk/brane correspondence in the RS and KR braneworld models, adding supporting evidence for it. We then summarize the studies on braneworld black hole solutions, which consist of constructing exact or approximate solutions and investigating the phase diagram of solutions. In the study of phase diagram, we will also expound the implications of the bulk/brane correspondence to the braneworld black holes.Contemporary candidates of quantum gravity, such as string theory or M-theory, predict that our spacetime is higher-dimensional even though we observe seemingly four-dimensional world. To reconcile this apparent conflict in the spacetime dimensionality, we have to introduce some mechanisms into the spacetime structure. One of such mechanisms is the Kaluza-Klein (KK) compactification, 1), 2) in which extra dimensions are manifestly compactified into a finite size manifold. Another one is the braneworld model, which we will focus on in this review.A braneworld models is composed of higher-dimensional bulk spacetime and lower-dimensional brane in it. Standard model particles are confined onto the brane but gravity is allowed to propagate in the bulk. These models are partly motivated by string theory in the following sense. In string theory, membrane-like solutions emerge as a result of string condensation. Open strings attached on this membrane will behave as matter fields confined on it. Closed strings, on the other hand, can freely move away from the brane, and will behave as graviton propagating in the bulk. The braneworld models will capture gravitational aspect of such membranelike solutions.Since graviton propagates in the bulk and then the gravity in this model is higherdimensional, we need some mechanisms to recover the four-dimensional gravity on the brane. The simplest way would be cutting off the extra dimensions in a manner similar to the Kaluza-Klein compactification. In the Arkani-Hamed-Dimopoulos-Dvali (ADD) model, 3), 4) the first braneworld model, and in the Randall-Sundrum I (RS-I) model, 5) the four-dimensional gravity is recovered in this way. Second way is to introduce the so-called warped compactification, with which we can localize the gravity onto the brane even when the bulk extends infinitely. This mechanism is used in the Randall-Sundrum II (RS-II) model, 6) which is composed of negatively curved bulk spacetime and a four-dimensional brane with tension. Yet another way to localize gravity is to manifestly introduce the four-dimensional Einstein-Hilbert action localized on the brane, which is adopted in the Dvali-Gabadadze-Porrati (DGP) model. 7)These gravity localization mechanisms can be assessed by perturbation analyses in the weak gravity regime, and indeed the...

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Quasinormal modes of black holes localized on the Randall-Sundrum 2-brane

Cited by 16 publications

References 78 publications

Quasinormal modes of black holes: From astrophysics to string theory

Quasinormal modes of black holes: From astrophysics to string theory

Killing–Yano tensor and supersymmetry of the self-dual Plebański–Demiański solution

Chapter 8. Black Holes in Braneworld Models

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