scholarly journals Scalar perturbation of the higher-dimensional rotating black holes

2003 ◽  
Vol 67 (8) ◽  
Author(s):  
Daisuke Ida ◽  
Yuki Uchida ◽  
Yoshiyuki Morisawa
Keyword(s):  
Black Holes ◽  
Scalar Perturbation ◽  
Higher Dimensional ◽  
Rotating Black Holes

scholarly journals Interaction of higher-dimensional rotating black holes with branes

2004 ◽  
Vol 21 (14) ◽  
pp. 3483-3498 ◽  
Author(s):  
Valeri P Frolov ◽  
Dmitri V Fursaev ◽  
Dejan Stojkovi
Keyword(s):  
Black Holes ◽  
Higher Dimensional ◽  
Rotating Black Holes

scholarly journals Superradiant stability of five and six-dimensional extremal Reissner–Nordstrom black holes

2021 ◽  
Vol 81 (10) ◽  
Author(s):  
Jia-Hui Huang ◽  
Tian-Tian Cao ◽  
Mu-Zi Zhang
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Numerical Methods ◽  
Effective Potential ◽  
Scalar Perturbation ◽  
Polynomial Equations ◽  
Potential Well ◽  
Massive Scalar ◽  
Higher Dimensional ◽  
The Stability

AbstractWe revisit the superradiant stability of five and six-dimensional extremal Reissner–Nordstrom black holes under charged massive scalar perturbation with a new analytical method. In each case, it is analytically proved that the effective potential experienced by the scalar perturbation has only one maximum outside the black hole horizon and no potential well exists for the superradiance modes. So the five and six-dimensional extremal Reissner–Nordstrom black holes are superradiantly stable. The new method we developed is based on the Descartes’ rule of signs for the polynomial equations. Our result provides a complementary support of previous studies on the stability of higher dimensional extremal Reissner–Nordstrom black holes based on numerical methods.

scholarly journals ROTATING BLACK HOLES IN HIGHER DIMENSIONAL BRANE WORLDS

2006 ◽  
Vol 15 (02) ◽  
pp. 171-188 ◽  
Author(s):  
GAUTAM SENGUPTA
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Causal Structure ◽  
Brane World ◽  
Black String ◽  
Brane Worlds ◽  
Rotating Black Hole ◽  
Geodesic Equations ◽  
Higher Dimensional ◽  
Rotating Black Holes

A black string generalization of the Myers–Perry N-dimensional rotating black hole is considered in an (N + 1)-dimensional Randall–Sundrum brane world. The black string intercepts the (N - 1) brane in a N-dimensional rotating black hole. We examine the diverse cases arising for various non-zero rotation components and obtain the geodesic equations for these space–times. The causal structure and asymptotics of the resulting brane world geometries are analyzed.

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