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网络报告:Adiabatic Solutions in General Relativity as Null Geodesics on the Space of Boundary Diffeomorphisms(时间3.30)

发布日期:2022-03-30  作者:刘敏  浏览数:

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

时间:33017:00

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 ?eyma 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. ?eyma Kutluk's expertise is in general relativity and geodesics. ?eyma Kutluk has published 5 papers in Journal of High Energy Physics, Physical Review D and Journal of Astrophysics and Cosmology with over 15 citations.


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