Mathematics – Mathematical Physics
Scientific paper
Feb 1975
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975jmp....16..224g&link_type=abstract
Journal of Mathematical Physics, vol. 16, Feb. 1975, p. 224-226
Mathematics
Mathematical Physics
13
Cosmology, Einstein Equations, Gravitational Waves, Space-Time Functions, Constraints, Numerical Integration, Symmetry, Wave Equations
Scientific paper
Einstein's vacuum field equations are solved for spacetimes with two-parameter spacelike symmetry, a space-reflection symmetry, and space sections homeomorphic to either of two topologies. All integrals are evaluated, and the spacetime metrics are presented in an analytic form which is suitable for exploring such properties as the behavior of geodesics and test fields. The solutions are applied to a long-wavelength example.
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