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Hodge-de Rham Laplacian and geometric criteria for gravitational waves
- Authors: Babourova O.V.1, Frolov B.N.2
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Affiliations:
- Moscow Automobile and Road Construction State Technical University
- Moscow Pedagogical State University
- Issue: Vol 31, No 3 (2023)
- Pages: 242-246
- Section: Articles
- URL: https://journals.rudn.ru/legaltrends/article/view/36126
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Abstract
The curvature tensor
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1. Introduction. Harmonic curvature tensor In non-Euclidean spaces, in the formalism of differential forms, an external covariant differential×
About the authors
Olga V. Babourova
Moscow Automobile and Road Construction State Technical University
Email: ovbaburova@madi.ru
SPIN-code: 0000-0002-2527-5268
Professor, Doctor of Sciences in Physics and Mathematics, Professor at Department Physics 64, Leningradsky pr., Moscow, 125319, Russian Federation
Boris N. Frolov
Moscow Pedagogical State University
Email: bn.frolov@mpgu.su
SPIN-code: 0000-0002-8899-1894
Professor, Doctor of Sciences in Physics and Mathematics, Professor at Department of Theoretical Physics, Institute of Physics, Technology and Information Systems 29/7, M. Pirogovskaya str., Moscow, 119435, Russian Federation
References
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- J.-P. Bourguignon, “Global riemannian geometry,” in T. J. Willmore and N. J. Hitchin, Eds. New York: Ellis Horwood Lim., 1984, ch. Metric with harmonic curvature.
- D. A. Popov, “To the theory of the Yang-Mills fields,” Theoretical and mathematical physics, vol. 24, no. 3, pp. 347-356, 1975, in Rusian.
- V. D. Zakharov, Gravitational waves in Einstein’s theory of gravitation. Moscow: Nauka, 1972, 200 pp., in Rusian.
- O. V. Babourova and B. N. Frolov, “On a harmonic property of the Einstein manifold curvature,” 1995. arXiv: gr-qc/9503045v1.
- D. A. Popov and L. I. Dajhin, “Einstein spaces and Yang-Mills fields,” Reports of the USSR Academy of Sciences [Doklady Akademii nauk SSSR], vol. 225, no. 4, pp. 790-793, 1975.
