On a Growing Transverse Mode as a Post-Newtonian Effect in the Large-Scale Structure Formation

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

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12 pages, no figure. To be published in Prog. Theor. Phys.(August issue)

Scientific paper

10.1143/PTP.100.315

We point out the existence of a new type of growing transverse mode in the gravitational instability. This appears as a post-Newtonian effect to Newtonian dynamics. We demonstrate this existence by formulating the Lagrangian perturbation theory in the framework of the cosmological post-Newtonian approximation in general relativity. Such post-Newtonian order effects might produce characteristic appearances of large-scale structure formation, for example, through the observation of anisotropy of the cosmic microwave background radiation (CMB).

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