2020/06/18 by Björn Gustafsson, Gustafsson, Björn, Ahmed Sebbar +1
Engineering · Mathematics · Physics and Astronomy · #31C12 #53A45 #70S05 #Algebraic and Geometric Analysis #Cosmology and Gravitation Theories #FOS: Physical sciences #Mathematical Physics (math-ph) #Thermoelastic and Magnetoelastic Phenomena
paper · pdf · doi:10.48550/arxiv.2006.10360
openalex publication_date 2020/06/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The Hadamard variational formula for the Green function is formulated in terms of a polarized energy-momentum tensor and a strain tensor. This is elaborated in a general setting of subdomains of a Riemannian manifold in arbitrary dimension and linked to the way the energy-momentum tensor in general field theory appears as a result of varying the metric tensor in a Lagrangian function.