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School of Mathematical and Statistical Sciences Faculty Publications and Presentations
Document Type
Article
Publication Date
9-13-2017
Abstract
A generalization of the Laplacian for p-forms to arbitrary tensors due to Lichnerowicz will be applied to a 2-tensor which has physical applications. It is natural to associate a divergencefree symmetric 2-tensor to a critical point of a specific variational problem and it is this 2-tensor that is studied. Numerous results are obtained for the stress-energy tensor, such as its divergence and Laplacian. A remarkable integral formula involving a symmetric 2-tensor and a conformal vector field is obtained as well
Recommended Citation
Paul Bracken. Applications of the lichnerowicz Laplacian to stress energy tensors[J]. AIMS Mathematics, 2017, 2(3): 545-556. doi: 10.3934/Math.2017.2.545
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Publication Title
AIMS Mathematics
DOI
10.3934/Math.2017.2.545
Comments
Copyright 2017, Paul Bracken, licensee AIMS Press.