From Inflation to Hot Big Bang
A Tutorial on Cosmological Perturbations
Series: Lecture Notes in Physics;
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Product details:
- Publisher Springer Nature Switzerland
- Date of Publication 13 July 2026
- ISBN 9783032098924
- Binding Paperback
- No. of pages257 pages
- Size 235x155 mm
- Language English
- Illustrations XVII, 257 p. 12 illus., 6 illus. in color. 700
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Long description:
This open access book offers a concise yet pedagogic introduction to the theory of cosmological inflation and the early epochs that follow it. Inflation explains how the seeds for density perturbations could have formed during a period of exponential expansion. Apart from density perturbations, also so-called tensor perturbations are generated, which may be observed as gravitational waves. Starting from the Einstein equations of general relativity, the formalism is developed through explicit computations and a careful explanation of both the mathematics and the physics involved, paying special attention to general-relativistic gauge invariance. For technically cumbersome steps, examples of numerical and symbolic computer scripts are provided. We also discuss the issue of thermalization, by which a part of the energy density driving the exponential expansion can eventually be converted into the conventional hot big bang. The book is primarily aimed at graduate students of theoretical high-energy physics, but can serve as a self-contained introduction to inflation also for advanced undergraduate students, or for professional scientists.
MoreTable of Contents:
Einstein equations and the cosmological background solution.- Observable signatures beyond the background solution.- Evolution equations for first order perturbations.- Gauge transformations and different gauges.- Solution with vacuum initial conditions in de Sitter spacetime.- Solution for a general cold inflation scenario.- Evolution equations in the presence of a thermalizing plasma.- What happens when the modes exit the Hubble horizon?.- What happens when the modes re enter the Hubble horizon?.- Gravitational-wave probes of the inflationary period.
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