Astronomy and Astrophysics – Astrophysics
Scientific paper
Jun 1994
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994apj...427..533h&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 427, no. 2, p. 533-541
Astronomy and Astrophysics
Astrophysics
19
Astrophysics, Cosmology, Field Theory (Physics), Gauge Invariance, Gauge Theory, Perturbation, Perturbation Theory, Universe, Constants, Curvature, Einstein Equations, Newton Theory, Transformations (Mathematics)
Scientific paper
We present integral-form exact solutions of the cosmological perturbations in a pressureless medium. The solutions include the background three-space curvature and the cosmological constant and are valid outside the Jeans scale, which is negligible compared to the horizon scale in a matter-dominated medium. Solutions are presented for recently introduced six different gauge choices, and we discuss the relations to Newtonian analysis. We identify the perturbed density variable in the comoving gauge, the perturbed velocity, and potential variables in the zero-shear gauge as having correct Newtonian correspondences. On subhorizon scales, behavior of the fluid and potential variables in the uniform-expansion gauge also show a correct match with the Newtonian results.
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