Rotating Einstein–Maxwell–dilaton black holes in D dimensions

Kunz, Jutta; Maison, Dieter; Navarro‐Lérida, Francisco; Viebahn, Jan

doi:10.1016/j.physletb.2006.06.024

Cited by 61 publications

(94 citation statements)

References 39 publications

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“…Attempts have been made to find similar solutions to the Einstein-Maxwell equations analytically (Aliev, 2006a(Aliev, ,b, 2007Aliev and Frolov, 2004;Chen and Lü, 2008;Kunz et al, 2006a) or numerically (Brihaye and Delsate, 2007;Kleihaus et al, 2008;Kunz et al, 2005Kunz et al, , 2007Kunz et al, , 2006b.…”

Section: Black Holes In Higher Dimensionsmentioning

confidence: 99%

Hidden symmetries of dynamics in classical and quantum physics

2014

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This article reviews the role of hidden symmetries of dynamics in the study of physical systems, from the basic concepts of symmetries in phase space to the forefront of current research. Such symmetries emerge naturally in the description of physical systems as varied as non-relativistic, relativistic, with or without gravity, classical or quantum, and are related to the existence of conserved quantities of the dynamics and integrability. In recent years their study has grown intensively, due to the discovery of non-trivial examples that apply to different types of theories and different numbers of dimensions. Applications encompass the study of integrable systems such as spinning tops, the Calogero model, systems described by the Lax equation, the physics of higher dimensional black holes, the Dirac equation, supergravity with and without fluxes, providing a tool to probe the dynamics of non-linear systems.

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Section: Black Holes In Higher Dimensionsmentioning

confidence: 99%

Hidden symmetries of dynamics in classical and quantum physics

2014

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“…In spheroidal coordinates (r, θ) the asymptotic expansion (r → ∞) of the metric functions yields ( [24], [34])…”

Section: Generating Charged Dilatonic Black Objectsmentioning

confidence: 99%

“…In the case of Kaluza-Klein coupling the solutions can be obtained by adding a spatial dimension and performing a boost. A dimensional reduction then leads to the charged dilatonic black hole solutions (compare [14] - [24]). …”

Section: Introductionmentioning

confidence: 99%

Charged dilatonic black rings and black saturns and their thermodynamics

Grunau

2014

Phys. Rev. D

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In this paper charged black rings and black saturns are constructed in Einstein-Maxwell-dilaton theory in five dimensions. The neutral black ring and black saturn solutions are embedded in six dimensions and boosted with respect to the time coordinate and the added sixth dimension. Then the charged solutions are obtained by a Kaluza-Klein reduction. The influence of the charge is studied by analysing the physical properties and the phase diagram. The different dilatonic solutions are compared and their thermodynamic stability is considered.

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“…This mass formula holds also in the presence of a dilaton field [9]. Introducing the dilaton charge into the mass formula via [9] …”

Section: Mass Formulamentioning

confidence: 82%

Properties of rotating Einstein-Maxwell-dilaton black holes in odd dimensions

2014

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We investigate rotating Einstein-Maxwell-Dilaton (EMd) black holes in odd dimensions. Focusing on black holes with equal-magnitude angular momenta, we determine the domain of existence of these black holes. Non-extremal black holes reside with the boundaries determined by the static and the extremal rotating black holes. The extremal EMd black holes show proportionality of their horizon area and their angular momenta. Thus the charge does not enter. We also address the Einstein-Maxwell case, where the extremal rotating black holes exhibit two branches. On the branch emerging from the Myers-Perry solutions their angular momenta are proportional to their horizon area, whereas on the branch emerging from the static solutions their angular momenta are proportional to their horizon angular momenta. Only subsets of the near-horizon solutions are realized globally. Investigating the physical properties of these EMd black holes, we note that one can learn much about the extremal rotating solutions from the much simpler static solutions. The angular momenta of the extremal black holes are proportional to the area of the static ones for the Kaluza-Klein value of the dilaton coupling constant, and remain analogous for other values. The same is found for the horizon angular velocities of the extremal black holes, which possess an analogous behavior to the surface gravity of the static black holes. The gyromagnetic ratio is rather well approximated by the 'static' value, obtained perturbatively for small angular momenta.

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Rotating Einstein–Maxwell–dilaton black holes in D dimensions

Cited by 61 publications

References 39 publications

Hidden symmetries of dynamics in classical and quantum physics

Hidden symmetries of dynamics in classical and quantum physics

Charged dilatonic black rings and black saturns and their thermodynamics

Properties of rotating Einstein-Maxwell-dilaton black holes in odd dimensions

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