ON A GROUP APPROACH TO THE STUDY OF THE GENERAL RELATIVISTIC VACUUM CONSTRAINT EQUATIONS

Josef Mikeš, Sergey E. Stepanov, Irina I. Tsyganok

DOI Number
https://doi.org/10.22190/FUMI240813053M
First page
799
Last page
811

Abstract


In this article we will classify general relativistic vacuum constraint equations on a Riemannian manifold using a method based on the pointwise decomposition
of tensor products (reducible with respect to the action of the orthogonal group) into
irreducible components. Each selected class of equations will be described.


Keywords

compact Riemannian manifold, Ricci tensor, orthogonal decomposition, general relativistic constraint equations.

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References


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DOI: https://doi.org/10.22190/FUMI240813053M

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