Statistics – Computation
Scientific paper
Dec 1987
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987ap%26ss.139..311f&link_type=abstract
Astrophysics and Space Science (ISSN 0004-640X), vol. 139, no. 2, Dec. 1987, p. 311-320.
Statistics
Computation
3
Background Radiation, Einstein Equations, Gravitational Fields, Solitary Waves, Computational Astrophysics, Differential Geometry, Gravity Waves, Space-Time Functions
Scientific paper
Using a differential geometry approach, two sets of new solutions to Einstein's equation of gravity in the presence of a spherically-symmetrical gravitational background, like the earth, are found. The transverse and longitudinal components of the metric tensor representing the gravity waves are all soliton solutions, propagating towards the origin of the earth. If the situation where the static background field is absent is considered, the solutions still remain soliton-like in nature. The difference between the present result and Einstein's is attributed to the two approximations taken previously - weak field and 'harmonic condition'.
Fung C. W. P.
Tao F. Z.
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