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Mathematical Relativity Seminar   RSS

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21/10/2019, 11:00 — 12:00 — Room P3.10, Mathematics BuildingInstituto Superior Técnicohttp://tecnico.ulisboa.pt
Amol Sasane, London School of Economics

Decay of solutions to the Klein-Gordon equation on some expanding cosmological spacetimes

The decay of solutions to the Klein-Gordon equation is studied in two expanding cosmological spacetimes, namely the de Sitter universe in flat Friedmann-Lemaître-Robertson-Walker (FLRW) form, and the cosmological region of the Reissner-Nordström-de Sitter (RNdS) model. Using energy methods, for initial data with finite higher order energies, decay rates for the solution are obtained. Also, a previously established decay rate of the time derivative of the solution to the wave equation, in an expanding de Sitter universe in flat FLRW form, is improved, proving Rendall's conjecture. A similar improvement is also given for the wave equation in the cosmological region of the RNdS spacetime.


Current organizers: José Natário, João Lopes Costa

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