Extended version of Lecture Courses given at several places including X Special Courses at Observatorio Nacional, Rio de Janeiro, Brazil during 26-30 Sept, 2005. To appear in the Proceedings.
astro-ph/0602117

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ADVANCED TOPICS IN COSMOLOGY: A PEDAGOGICAL INTRODUCTION

T. Padmanabhan


IUCAA, Post Bag 4, Ganeshkhind, Pune - 411 007
email: nabhan@iucaa.ernet.in


Abstract: These lecture notes provide a concise, rapid and pedagogical introduction to several advanced topics in contemporary cosmology. The discussion of thermal history of the universe, linear perturbation theory, theory of CMBR temperature anisotropies and the inflationary generation of perturbation are presented in a manner accessible to someone who has done a first course in cosmology. The discussion of dark energy is more research oriented and reflects the personal bias of the author. Contents: (I) The cosmological paradigm and Friedmann model; (II) Thermal history of the universe; (III) Structure formation and linear perturbation theories; (IV) Perturbations in dark matter and radiation; (V) Transfer function for matter perturbations; (VI) Temperature anisotropies of CMBR; (VII) Generation of initial perturbations from inflation; (VIII) The dark energy.


Table of Contents

THE COSMOLOGICAL PARADIGM AND FRIEDMANN MODEL

THERMAL HISTORY OF THE UNIVERSE
Neutrino background
Primordial Nucleosynthesis
Decoupling of matter and radiation

STRUCTURE FORMATION AND LINEAR PERTURBATION THEORY

PERTURBATIONS IN DARK MATTER AND RADIATION
Evolution for lambda >> dH
Evolution for lambda << dH in the radiation dominated phase
Evolution in the matter dominated phase
An alternative description of matter-radiation system

TRANSFER FUNCTION FOR MATTER PERTURBATIONS

TEMPERATURE ANISOTROPIES OF CMBR
CMBR Temperature Anisotropy: More detailed theory
Description of photon-baryon fluid

GENERATION OF INITIAL PERTURBATIONS FROM INFLATION

THE DARK ENERGY
Gravitational Holography
Cosmic Lenz law
Geometrical Duality in our Universe
Gravity as detector of the vacuum energy

REFERENCES

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