报 告 题 目：Adiabatic Solutions in General Relativity as Null Geodesics on the Space of Boundary Diffeomorphisms

主 讲 人：Emine Şeyma Kutluk

单 位：土耳其中东科技大学

时 间：3月30日17:00

ZOOM ID：210-089-8623

密 码：123456

摘 要：

We use Manton approximation for general relativity on manifolds with spatial boundary; which results in a description of the slow-time dependent solutions as null geodesics on the space of boundary diffeomorphisms, with respect to a metric we prove to be composed solely of the boundary data. We show/conjecture how the solutions in the bulk space are fixed via the constraint equations of general relativity. Furthermore, we identify our resulting Lagrangian as a generalized version of the covariantized Lagrangian for continuum mechanics. We study the cases of 3+1 and 2+1 dimensions and show that for the solutions we propose, the -harder to untangle- Hamiltonian constraint becomes the real homogeneous Monge-Ampere equation in the special case of two spatial dimensions.

简 介：

Emine Şeyma Kutluk recevied her master's degree from Columbia University, USA and her PhD from Bogazici University, Turkey and is now a postdoc at the Middle East Technical University, Ankara, Turkey. Şeyma Kutluk's expertise is in general relativity and geodesics. Şeyma Kutluk has published 5 papers in Journal of High Energy Physics, Physical Review D and Journal of Astrophysics and Cosmology with over 15 citations.