Non-Linear Theory of Gravitational Instability in the Expanding Universe. II

Details Non-Linear Theory of Gravitational Instability in the Expanding Universe. II Non-Linear Theory of Gravitational Instability in the Expanding Universe. II

Jun 1971

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1971pthph..45.1747t&link_type=abstract

Progress of Theoretical Physics, Vol. 45, No. 6, pp. 1747-1762

Physics

34

Scientific paper

The general relativistic non-linear theory of gravitational instability is reformulated in order to get a hydrodynamical system of equations which are applicable at any early stage of cosmic expansion. Non-linearity is taken into account to the second-order smallness. On this basis, the second-order density perturbations associated with the first-order rotational and gravitational waves are derived, and the amplitudes of the density perturbations are shown to become comparable with the square of the amplitudes of the first-order waves. Moreover the second-order density perturbations corresponding to the first-order ones are derived and examined.

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