Hodge-de Rham Laplacian and geometric criteria for gravitational waves

The curvature tensor \(\hat{R}\) of a manifold is called harmonic, if it obeys the condition \(\Delta^{\text{(HR)}}\hat{R}=0\), where \(\Delta^{\text{(HR)}}=DD^{\ast} + D^{\ast}D\) is the Hodge–deRham Laplacian. It is proved that all solutions of the Einstein equations in vacuum, as well as all sol...

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Bibliographic Details
Main Authors: Olga V. Babourova, Boris N. Frolov
Format: Article
Language:English
Published: Peoples’ Friendship University of Russia (RUDN University) 2023-09-01
Series:Discrete and Continuous Models and Applied Computational Science
Subjects:
Online Access:https://journals.rudn.ru/miph/article/viewFile/35920/22462