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