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Seminário de Relatividade Matemática   RSS

Sessões planeadas

18/09/2019, 15:00 — 16:00 — Sala P3.10, Pavilhão de MatemáticaInstituto Superior Técnicohttp://tecnico.ulisboa.pt
Yafet Sanchez Sanchez, Leibniz University Hannover

Quantum Observables in low regularity spacetimes

In this talk I will describe how to construct the algebra of observables of a quantized scalar field when the spacetime metric is not smooth. I will show the main difference with the smooth case, the technical difficulties that arise and how we addressed them.

This is joint work with G. Hörmann, C. Spreitzer and J. Vickers.

23/10/2019, 15:00 — 16:00 — Sala P3.10, Pavilhão de MatemáticaInstituto 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.


Organizadores correntes: José Natário, João Lopes Costa.

CAMGSD FCT