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Gauge invariant cosmological perturbation theory: A General study and its application to the texture scenario of structure formationby: Ruth Durrer
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AbstractAfter an introduction to the problem of cosmological structure formation, wedevelop gauge invariant cosmological perturbation theory. We derive the firstorder perturbation equations of Einstein's equations and energy momentum“conservation”. Furthermore, the perturbations of Liouville's equation forcollisionless particles and Boltzmann's equation for Compton scattering areworked out. We fully discuss the propagation of photons in a perturbedFriedmann universe, calculating the Sachs--Wolfe effect and light deflection.The perturbation equations are extended to accommodate also perturbationsinduced by seeds.With these general results we discuss some of the main aspects of the texturemodel for the formation of large scale structure in theUniverse (galaxies, clusters, sheets, voids).In this model, perturbations in the dark matter are induced by texture seeds.The gravitational effects of a spherically symmetric collapsing texture ondark matter, baryonic matter and photons are calculated in first orderperturbation theory. We study the characteristic signature of the microwavebackground fluctuations induced in this scenario and compare it with the COBEobservations.
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