New textbooks about the early universe. Expensive but the department library might be willing to order copies.
http://www.worldscibooks.com/physics/7874.html
INTRODUCTION TO THE THEORY OF THE EARLY UNIVERSE
Hot Big Bang Theory
by Dmitry S Gorbunov (Russian Academy of Sciences, Russia) & Valery A Rubakov (Russian Academy of Sciences, Russia & Moscow State University, Russia)
This book is written from the viewpoint of a deep connection between cosmology and particle physics. It presents the results and ideas on both the homogeneous and isotropic Universe at the hot stage of its evolution and in later stages. The main chapters describe in a systematic and pedagogical way established facts and concepts on the early and the present Universe. The comprehensive treatment, hence, serves as a modern introduction to this rapidly developing field of science. To help in reading the chapters without having to constantly consult other texts, essential materials from General Relativity and the theory of elementary particles are collected in the appendices. Various hypotheses dealing with unsolved problems of cosmology, and often alternative to each other, are discussed at a more advanced level. These concern dark matter, dark energy, matter-antimatter asymmetry, etc.
Contents:
Cosmology: A Preview
Homogeneous Isotropic Universe
Dynamics of Cosmological Expansion
ΛCDM: Cosmological Model with Dark Matter and Dark Energy
Thermodynamics in Expanding Universe
Recombination
Relic Neutrinos
Big Bang Nucleosynthesis
Dark Matter
Phase Transitions in the Early Universe
Generation of Baryon Asymmetry
Topological Defects and Solitons in the Universe
Readership: Cosmologists, advanced undergraduate and graduate students.
500pp (approx.)
http://www.worldscibooks.com/physics/7873.html
INTRODUCTION TO THE THEORY OF THE EARLY UNIVERSE
Cosmological Perturbations and Inflationary Theory
by Dmitry S Gorbunov (Russian Academy of Sciences, Russia) & Valery A Rubakov (Russian Academy of Sciences, Russia & Moscow State University, Russia)
This book accompanies another book by the same authors, Introduction to the Theory of the Early Universe: Hot Big Bang Theory and presents the theory of the evolution of density perturbations and relic gravity waves, theory of cosmological inflation and post-inflationary reheating. Written in a pedagogical style, the main chapters give a detailed account of the established theory, with derivation of formulas. Being self-contained, it is a useful textbook for advanced undergraduate students and graduate students. Essential materials from General Relativity, theory of Gaussian random fields and quantum field theory are collected in the appendices. The more advanced topics are approached similarly in a pedagogical way. These parts may serve as a detailed introduction to current research.
Contents:
Jeans Instability in Newtonian Gravity
Cosmological Perturbations in General Relativity. Equations of Linearized Theory
Evolution of Vector and Tensor Perturbations
Scalar Perturbations: Single-Component Fluids
Primordial Perturbations in Real Universe
Scalar Perturbations Before Recombination
Structure Formation
Beyond Ideal Fluid Approximation
Temperature of Cosmic Microwave Background Radiation
CMB Polarization
Drawbacks of the Hot Big Bang Theory. Inflation as Possible Way Out
Inflation in Slow Roll Regime
Generation of Cosmological Perturbations at Inflation
Further Aspects of Inflationary Theory
Preheating After Inflation
Bouncing Universe
Readership: Cosmologists, advanced undergraduate and graduate students.
480pp (approx.)
http://www.worldscibooks.com/physics/7235.html
PRIMORDIAL COSMOLOGY
by Giovanni Montani (ENEA & ICRANet, University of Rome “Sapienza”, Italy), Marco Valerio Battisti (ICRA & University of Rome “Sapienza”, Italy), Riccardo Benini (ICRA & University of Rome “Sapienza”, Italy), & Giovanni Imponente (Queen Mary, University of London, UK)
Primordial Cosmology deals with one of the most puzzling and fascinating topics debated in modern physics — the nature of the Big Bang singularity. The authors provide a self-consistent and complete treatment of the very early Universe dynamics, passing through a concise discussion of the Standard Cosmological Model, a precise characterization of the role played by the theory of inflation, up to a detailed analysis of the anisotropic and inhomogeneous cosmological models...
This book traces clearly the backward temporal evolution of the Universe, starting with the Robertson–Walker geometry and ending with the recent results of loop quantum cosmology in view of the Big Bounce. The reader is accompanied in this journey by an initial technical presentation which, thanks to the fundamental tools given earlier in the book, never seems heavy or obscure.
Contents:
Historical Picture — From Ancient Cultures to the 20th Century
Fundamental Tools — Einstein Theory and Singularity Theorems
The Structure and Dynamics of the Isotropic Universe
Shortcomings of the Standard Model and Inflationary Theory
Inhomogeneous Quasi-Isotropic Cosmology
Homogeneous Universes — Chaotic Cosmology
Hamiltonian Formulation of the Mixmaster — The Liouville Measure
The Generic Cosmological Solution — Singularity without Symmetries
Quantum Cosmology — From the Wheeler-DeWitt Approach to Loop Quantum Cosmology
Readership: Researchers in cosmology, high energy physics and quantum physics.
616pp (approx.)
Amazon links for these and related textbooks:
https://www.amazon.com/dp/9814322245/?tag=pfamazon01-20
https://www.amazon.com/dp/9814322229/?tag=pfamazon01-20
https://www.amazon.com/dp/9814271004/?tag=pfamazon01-20
https://www.amazon.com/dp/0521195756/?tag=pfamazon01-20