报告题目：Adiabatic Solutions in General Relativity as Null Geodesics on the Space of Boundary Diffeomorphisms
主讲人：Emine Şeyma Kutluk 土耳其中东科技大学

时间：3月30日17:00

地点：ZOOM ID:210 089 8623 密码：123456

主办单位：数学与统计学院

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报告摘要：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.
  专家简介：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.