Gravitational radiation in Szekeres's quasi-spherical space-times

Details Gravitational radiation in Szekeres's quasi-spherical space-times Gravitational radiation in Szekeres's quasi-spherical space-times

Sep 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980jpha...13.3023c&link_type=abstract

Journal of Physics A - Mathematical and General, vol. 13, Sept. 1980, p. 3023-3028. Consejo Nacional de Ciencia y Tecnologia of

Physics

3

Free Fall, Gravitational Waves, Relativity, Space-Time Functions, Coordinate Transformations, Cosmic Dust, Einstein Equations, Field Strength, Gravitation Theory, Minkowski Space, Moments, Quadrupoles

Scientific paper

A necessary and sufficient condition for flatness of the quasi-spherical space-times of Szekeres is given. Using this, the linear approximation of these space-times is considered and it is shown that the third derivatives of the quadrupole moments vanish for matter distribution contained within a comoving surface. Hence the Einstein formula gives zero energy loss due to gravitational radiation. This agrees with other investigations, which have shown that no radiation is present in these space-times.

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