Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 5 of 5 for “"Black hole stability"”.
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On the initial value problem in general relativity and wave propagation in black-hole spacetimes
… by giving applications of this result to black hole spacetimes. Recalling that the wave equation can be considered a “poor man’s” linearisation of the Einstein equations, these applications are of interest for a better understanding of the black hole stability conjecture, which states that …
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The Gregory--Laflamme Instability and Conservation Laws for Linearised Gravity
This thesis is concerned with the black hole stability problem in general relativity. In particular, it presents stability and instability results associated to the linearised vacuum Einstein equation on black hole backgrounds. The first chapter of this thesis gives a direct rigorous mathematical …
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Decay for quasilinear wave equations on cosmological black hole backgrounds
This thesis studies the decay and stability of linear and quasilinear wave equations of Schwarzschild--de~Sitter $(M,\Lambda)$ and Kerr de Sitter $(a,M,\Lambda)$ black hole backgrounds, where $a,M,\Lambda$ are respectively the rotation parameter of the black hole, the mass of the black hole and the …
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Linear and non-linear collisionless many-particle systems
… present thesis focuses on linear and non-linear stability results for collisionless many-particle systems described by distribution functions satisfying classical kinetic models arising in astrophysics. On the one hand, we study the large time behavior of solutions to the Vlasov--Poisson system, …
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Stability of charged rotating black holes for linear scalar perturbations
In this thesis, the stability of the family of subextremal Kerr-Newman space- times is studied in the case of linear scalar perturbations. That is, nondegenerate energy bounds (NEB) and integrated local energy decay (ILED) results are proved for solutions of the wave equation on the domain of outer …