Thèse--Faculté des lettres de Paris.

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Thèse--Faculté des lettres de Paris.

Thesis (Ph. D.)--University of Notre Dame, 2005. / Thesis directed by Jerome H. Neyrey for the Department of Theology. "March 2005." Includes bibliographical references (leaves 307-324).

Inaug.-diss.--Halle. / Lebenslauf. "Literaturverzeichnis": p. [379]-383.

Thèse--Université de Paris.

No description available.

In this thesis we prove the linear stability to gravitational and electromagnetic perturbations of the Reissner-Nordström family of charged black holes with small charge. Solutions to the linearized Einstein-Maxwell equations around a Reissner-Nordström solution arising from regular initial data remain globally bounded on the black hole exterior and in fact decay to a linearized Kerr-Newman metric. We express the perturbations in geodesic outgoing null foliations, also known as Bondi gauge. To obtain decay of the solution, one must add a residual pure gauge solution which is proved to be itself controlled from initial data. Our results rely on decay statements for the Teukolsky system of spin +/-2 and spin +/-1 satisfied by gauge-invariant null-decomposed curvature components, obtained in earlier works. These decays are then exploited to obtain polynomial decay for all the remaining components of curvature, electromagnetic tensor and Ricci coefficients. In particular, the obtained decay is optimal in the sense that it is the one which is expected to hold in the non-linear problem.

Inaug.-diss.--Halle. / Lebenslauf. "Literaturverzeichnis": p. [238]-243.

Thesis (Ph. D.)--Columbia College, 1894. / Translation of: De mundi sensibilis atque intelligibilis forma et principiis. Vita. Includes bibliographical references.