Evolution of thin shells in spacetimes of arbitrary dimension

DANIEL APARICIO; MARCOS A. RAMIREZ

Valencia

Conferencia; 22nd International Conference on General Relativity and Gravitation; 2019

International Society on General Relativity and Gravitation

This talk is based on arXiv:1806.07867, where we consider singular timelike spherical hypersurfaces embedded ina D-dimensional spherically symmetric bulk spacetime which is an electrovacuum solution of Einstein equationswith cosmological constant. We study the dynamics according to Einstein equations for arbitrary matter satisfyingthe dominant energy condition. In particular, we thoroughly analyse the asymptotic dynamics for both the smalland large-shell-radius limits. We also study the main qualitative aspects of the dynamics of shells made of linearbarotropic fluids that satisfy the dominant energy condition. Finally, we prove weak cosmic censorship for thisclass of solutions.