Evolution of perturbations of squashed Kaluza-Klein black holes: escape from instability
نویسندگان
چکیده
The squashed Kaluza-Klien (KK) black holes differ from the Schwarzschild black holes with asymptotic flatness or the black strings even at energies for which the KK modes are not excited yet, so that squashed KK black holes open a window in higher dimensions. Another important feature is that the squashed KK black holes are apparently stable and, thereby, let us avoid the Gregory-Laflamme instability. In the present paper, the evolution of scalar and gravitational perturbations in time and frequency domains is considered for these squashed KK black holes. The scalar field perturbations are analyzed for general rotating squashed KK black holes. Gravitational perturbations for the so called zero mode are shown to be decayed for non-rotating black holes, in concordance with the stability of the squashed KK black holes. The correlation of quasinormal frequencies with the size of extra dimension is discussed.
منابع مشابه
ar X iv : h ep - t h / 07 02 18 0 v 1 2 2 Fe b 20 07 Hawking Radiation from Squashed Kaluza - Klein Black Holes — A Window to Extra Dimensions —
We explore the obsevability of extra dimensions through 5-dimensional squashed Kaluza-Klein black holes residing in the Kaluza-Klein spacetime. With the expectation that the Hawking radiation reflects the 5-dimensional nature of the squashed horizon, we study the Hawking radiation of a scalar field in the squashed black hole background. As a result, we show that the luminosity of Hawking radiat...
متن کاملFate of Kaluza-Klein Black Holes: Evaporation or Excision?
We study evaporation process of black strings which are typical examples of Kaluza-Klein black holes. Taking into account the backreaction of the Hawking radiation, we deduce the evolution equation for the radion field. By solving the evolution equation, we find that the shape of the internal space is necked by the Hawking radiation and the amount of the deformation becomes large as the evapora...
متن کاملGeneralized Kaluza-Klein Black Holes with Squashed Horizons
We present the spacetime of a five-dimensional static black hole within EinsteinMaxwell theory. The solution represents a Kaluza-Klein black hole, whereby the solution is wholly five-dimensional near the horizon, but becomes effectively fourdimensional (with a compact fifth dimension) at the spatial infinity. The black-hole is electrically charged and so has two horizons, with a horizon geometr...
متن کاملA note on Klein-Gordon equation in a generalized Kaluza-Klein monopole background
We investigate solutions of the Klein-Gordon equation in a class of five dimensional geometries presenting the same symmetries and asymptotic structure as the Gross-Perry-Sorkin monopole solution. Apart from globally regular metrics, we consider also squashed Kaluza-Klein black holes backgrounds.
متن کاملar X iv : h ep - t h / 06 06 22 8 v 1 2 3 Ju n 20 06 Kaluza - Klein black holes with squashed horizons and d = 4 superposed monopoles
We present new solutions of the d = 5 Einstein-Yang-Mills theory describing black holes with squashed horizons. These configurations are asymptotically locally flat and have a boundary topology of a fibre bundle R × S →֒ S. In a d = 4 picture, they describe black hole solutions with both nonabelian and U(1) magnetic charges.
متن کامل