Linear stability of rotating black holes: Outline of the proof
نویسندگان
چکیده
After a brief introduction to the black hole stability problem, we outline our recent proof of the linear stability of the non-extreme Kerr geometry.
منابع مشابه
Uniqueness of Kerr–newman–de Sitter Black Holes with Small Angular Momenta
We show that a stationary solution of the Einstein–Maxwell equations which is close to a non-degenerate Reissner–Nordström–de Sitter solution is in fact equal to a slowly rotating Kerr–Newman–de Sitter solution. The proof uses the non-linear stability of the Kerr–Newman–de Sitter family of black holes with small angular momenta, recently established by the author, together with an extension arg...
متن کاملCalculation of the relativistic bulk tensor and shear tensor of relativistic accretion flows in the Kerr metric.
In this paper, we calculate the relativistic bulk tensor and shear tensor of the relativistic accretion ows in the Kerr metric, overall and without any approximation. We obtain the relations of all components of the relativistic bulk and shear tensor in terms of components of four-velocity and its derivatives, Christoffel symbols and metric components in the BLF. Then, these components are deri...
متن کاملThe Bekenstein-Hawking Entropy of Higher-Dimensional Rotating Black Holes
A black hole can be regarded as a thermodynamic system described by a grand canonical ensemble. In this paper, we study the Bekenstein-Hawking entropy of higherdimensional rotating black holes using the Euclidean path-integral method of Gibbons and Hawking. We give a general proof demonstrating that ignoring quantum corrections, the Bekenstein-Hawking entropy is equal to one-fourth of its horiz...
متن کاملScalar perturbations of higher dimensional rotating and ultra-spinning black holes
We investigate the stability of higher dimensional rotating black holes against scalar perturbations. In particular, we make a thorough numerical and analytical analysis of six-dimensional black holes, not only in the low rotation regime but in the high rotation regime as well. Our results suggest that higher dimensional Kerr black holes are stable against scalar perturbations, even in the ultr...
متن کاملThe inequality between mass and angular momentum for axially symmetric black holes
In this essay I first discuss the physical relevance of the inequality m ≥ √ |J | for axially symmetric (non-stationary) black holes, where m is the mass and J the angular momentum of the spacetime. Then, I present a proof of this inequality for the case of one spinning black hole. The proof involves a remarkable characterization of the extreme Kerr black hole as an absolute minimum of the tota...
متن کامل