Accelerating Kerr–Newman black holes in (anti-)de Sitter space-time

Podolský, Jiřı́; Griffiths, J. B.

doi:10.1103/physrevd.73.044018

Cited by 63 publications

(66 citation statements)

References 34 publications

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“…also [60]). Recently, Griffiths and Podolský [95], [97], [96], [201], [98], put this metric into a new form which enables a better physical interpretation of parameters and simplifies a procedure how to derive all special cases. Among subclasses of this solution let us mention the sixparameter family of metrics without acceleration derived and studied already by Carter [28], [27] and later by Plebański [199].…”

Section: A21 Plebański-demiański Metricmentioning

confidence: 99%

Hidden Symmetries of Higher-Dimensional Rotating Black Holes

2007

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In this thesis we study higher-dimensional rotating black holes. Such black holes are widely discussed in string theory and brane-world models at present.We demonstrate that even the most general known Kerr-NUT-(A)dS spacetime, describing the general rotating higher-dimensional asymptotically (anti) de Sitter black hole with NUT parameters, is in many aspects similar to its fourdimensional counterpart. Namely, we show that it admits a fundamental hidden symmetry associated with the principal conformal Killing-Yano tensor. Such a tensor generates towers of hidden and explicit symmetries. The tower of Killing tensors is responsible for the existence of irreducible, quadratic in momenta, conserved integrals of geodesic motion. These integrals, together with the integrals corresponding to the tower of explicit symmetries, make geodesic equations in the Kerr-NUT-(A)dS spacetime completely integrable. We further demonstrate that in this spacetime the Hamilton-Jacobi, Klein-Gordon, and stationary string equations allow complete separation of variables and the problem of finding parallel-propagated frames reduces to the set of the first order ordinary differential equations. Moreover, we show that the Kerr-NUT-(A)dS spacetime is the most general Einstein space which possesses all these properties. We also explicitly derive the most general (off-shell) canonical metric admitting the principal conformal Killing-Yano tensor and demonstrate that such a metric is necessarily of the special algebraic type D of the higher-dimensional algebraic classification. The results presented in this thesis describe the new and complete picture of the relationship of hidden symmetries and rotating black holes in higher dimensions. PrefaceWhen in 1963 Kerr discovered an astrophysically relevant but relatively complicated metric describing the gravitational field of a rotating black hole, it seemed that no analytical predictions were possible even for the simplest particle geodesic motion. However, a 'miracle' happened, and it turned out that not only the geodesic motion can be analytically solved, but also the equations describing various perturbations of this background can be 'drastically' simplified. This opened a way for studying astrophysical processes, such as the plasma accretion around black holes, the radiation produced by infalling matter, the origin of jets, the production and propagation of waves produced in the vicinity of black holes, and it even led to estimates of the gravitational wave production in star collisions and galaxy merges. It also facilitated the study of more theoretical problems, such as the problem of stability of the Kerr solution, the calculation of the quasinormal modes, or the study of the Hawking radiation. A hidden symmetry responsible for this miracle can be mathematically described by a simple antisymmetric object, called the Killing-Yano tensor.Recently, higher-dimensional rotating black hole spacetimes have become of high interest due to various developments in gravity and high energy physic...

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Section: A21 Plebański-demiański Metricmentioning

confidence: 99%

Hidden Symmetries of Higher-Dimensional Rotating Black Holes

2007

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“…The metric (23) nicely represents the singularity and horizon structure of an accelerating charged and rotating black hole in a de Sitter or anti-de Sitter background (see [30]). It represents the space-time from the singularity through the inner and outer black hole horizons and out to and beyond the acceleration horizon.…”

Section: Accelerating Kerr-newman-de Sitter Black Holes (L = 0)mentioning

confidence: 99%

A New Look at the Plebański–demiański Family of Solutions

Griffiths

Podolský

2006

Int. J. Mod. Phys. D

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245

321

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The Plebański-Demiański metric, and those that can be obtained from it by taking coordinate transformations in certain limits, include the complete family of space-times of type D with an aligned electromagnetic field and a possibly non-zero cosmological constant. Starting with a new form of the line element which is better suited both for physical interpretation and for identifying different subfamilies, we review this entire family of solutions. Our metric for the expanding case explicitly includes two parameters which represent the acceleration of the sources and the twist of the repeated principal null congruences, the twist being directly related to both the angular velocity of the sources and their NUT-like properties. The nonexpanding type D solutions are also identified. All special cases are derived in a simple and transparent way.

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“…For a generic choice of specific parameters of accelerating and rotating black holes, this function is visualised as in figures [16][17][18]. Figure 16 applies to the case when Λ > 0 while the remaining two figures apply when Λ < 0.…”

Section: Electromagnetic Radiationmentioning

confidence: 99%

“…Physically most interesting are those solutions which describe black holes. It was demonstrated in [14][15][16][17] that, in such a case, it is particularly convenient to express the parameters ǫ, n and k, which occur in the metric functions (2), in terms of new parameters a and l as…”

Section: The General Plebański-demiański Family Of Black Holesmentioning

confidence: 99%

“…This Plebański-Demiański class of solutions has recently been described in more detail in [14][15][16][17], where a list of further references can also be found. In particular, a new form of the Plebański-Demiański metric has been presented in which the parameters were given a clear physical interpretation and from which the various well-known special subfamilies can easily be obtained.…”

Section: Introductionmentioning

confidence: 99%

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Radiation generated by accelerating and rotating charged black holes in (anti-)de Sitter space

Podolský¹,

Kadlecová²

2009

Class. Quantum Grav.

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Abstract. Asymptotic behaviour of gravitational and electromagnetic fields of exact type D solutions from the large Plebański-Demiański family of black hole spacetimes is analyzed. The amplitude and directional structure of radiation is evaluated in cases when the cosmological constant is non-vanishing, so that the conformal infinities have either de Sitter-like or anti-de Sitter-like character. In particular, explicit relations between the parameters that characterize the sources (that is their mass, electric and magnetic charges, NUT parameter, rotational parameter, and acceleration) and properties of the radiation generated by them are presented. The results further elucidate the physical interpretation of these solutions and may help to understand radiative characteristics of more general spacetimes than those that are asymptotically flat.

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Accelerating Kerr–Newman black holes in (anti-)de Sitter space-time

Cited by 63 publications

References 34 publications

Hidden Symmetries of Higher-Dimensional Rotating Black Holes

Hidden Symmetries of Higher-Dimensional Rotating Black Holes

A New Look at the Plebański–demiański Family of Solutions

Radiation generated by accelerating and rotating charged black holes in (anti-)de Sitter space

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