By V. A. Rubakov D. S. Gorbunov
This ebook accompanies one other e-book via an identical authors, creation to the idea of the Early Universe: scorching titanic Bang concept and provides the idea of the evolution of density perturbations and relic gravity waves, conception of cosmological inflation and post-inflationary reheating. Written in a pedagogical type, the most chapters provide a close account of the validated thought, with derivation of formulation. Being self-contained, it's a precious textbook for complicated undergraduate scholars and graduate scholars. crucial fabrics from common Relativity, conception of Gaussian random fields and quantum box concept are accumulated within the appendices. The extra complicated themes are approached equally in a pedagogical method. those elements may well function a close creation to present learn.
on hand as a collection with advent to the speculation of the Early Universe: sizzling significant Bang thought.
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Additional resources for Introduction to the Theory of the Early Universe: Cosmological Perturbations and Inflationary Theory
3. Equations in Helicity Sectors 31 This gauge is called conformal Newtonian. 8, while in the expanding Universe the OO-component of metric is conformally related to cI>. 68) is the physical velocity while the right hand side contains the derivative with respect to the conformal coordinate. The physical velocity potential is Vphy s = av o Indeed , the physical velocity is expressed as 6v p hys Vi = ~' where 6zi = adx i is the physical length element. 70) 6G o = -22 ( - OiW,a' + - 0;cI> ) ' a a .
The observational data are inconsistent with su ch an admixture, and hence show that these a nd similar mechanism s either were not at work at all or were subdominant. 2. Let the amplitude of the decaying tensor mode of the present momentum (100 JvIpC)-l be of order 10- 6 at the horizon entry. Consi der the evolution of this mode backwards in time and estimate at what tempemtuTe the Universe was strongly inhomogeneous and anisotropic. 2 SubhoT'izon perturbations. Matching to constant mode To study the subhorizon regime, k » at / a, we make use of the trick employed for analyzing the scalar field in Section 1.
Thus , the K lein- Gordon equation for t he scalar fi eld and its p ert urbations gives the same covariant conservation equations for average energy-momentum t ensor as those charact er istic to pressureless matter. 91 ) does not hold . 120) Linearized Equations in General R elativit y 44 This situation occurs for tiny mass of the scalar field. 120 ) is valid at the equality epoch for perturbations of the present wavelength qr;l = 1 Mpc, provided that m < rv q2 _ 2 O"'"eq H eq ~ 03 . pc - 1 2 10- 24 eV ~.
Introduction to the Theory of the Early Universe: Cosmological Perturbations and Inflationary Theory by V. A. Rubakov D. S. Gorbunov