Five-dimensional charged rotating black holes

Kunz, Jutta; Navarro‐Lérida, Francisco; Petersen, A. K.

doi:10.1016/j.physletb.2005.03.056

Cited by 84 publications

(143 citation statements)

References 35 publications

Supporting

Mentioning

138

Contrasting

Order By: Relevance

“…Inspecting now equation (25) we see that it is satisfied provided that the charge parameter q is related to the physical charge of the black hole as…”

Section: Is Not Satisfied With the Expressions (A3) -(A8) And (B6) -(mentioning

confidence: 97%

Rotating black holes in higher dimensional Einstein-Maxwell gravity

2006

View full text Add to dashboard Cite

The strategy of obtaining the familiar Kerr-Newman solution in general relativity is based on either using the metric ansatz in the Kerr-Schild form, or applying the method of complex coordinate transformation to a non-rotating charged black hole. In practice, this amounts to an appropriate re-scaling of the mass parameter in the metric of uncharged black holes. Using a similar approach, we assume a special metric ansatz in N + 1 dimensions and present a new analytic solution to the Einstein-Maxwell system of equations. It describes rotating charged black holes with a single angular momentum in the limit of slow rotation. We also give the metric for a slowly rotating charged black hole with two independent angular momenta in five dimensions. Finally, we compute the gyromagnetic ratio of these black holes which corresponds to the value g = N − 1 . PACS number(s): 04.70. Bw, 05.50.+h

show abstract

“…Inspecting now equation (25) we see that it is satisfied provided that the charge parameter q is related to the physical charge of the black hole as…”

Section: Is Not Satisfied With the Expressions (A3) -(A8) And (B6) -(mentioning

confidence: 97%

Rotating black holes in higher dimensional Einstein-Maxwell gravity

2006

View full text Add to dashboard Cite

show abstract

“…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

View full text Add to dashboard Cite

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.

show abstract

“…Nevertheless, this result was shown not to hold in general for higher order perturbations in the charge [13,15,16], and non-perturbatively for arbitrary values of Q and J [17,18]. However, it still represents an important limiting value for EM and EMd black holes, attained for small values of the charge to mass ratio q.…”

Section: Numerical Solutionsmentioning

confidence: 91%

“…At the same time, this 'static' limit constitutes a lower bound for the gyromagnetic ratio of all EM black holes with equal magnitude angular momenta [13,17,18].…”

Section: H-dependencementioning

confidence: 93%

See 1 more Smart Citation

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

2014

Self Cite

View full text Add to dashboard Cite

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.

show abstract

Five-dimensional charged rotating black holes

Cited by 84 publications

References 35 publications

Rotating black holes in higher dimensional Einstein-Maxwell gravity

Rotating black holes in higher dimensional Einstein-Maxwell gravity

Hidden symmetries of dynamics in classical and quantum physics

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

Contact Info

Product

Resources

About