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This volume is devoted mainly to one of the more relevant subjects of the last two decades, namely, Inhomogeneous Cosmological Models. This subject has undergone a remarkable advance during the last decade, and the achievements attained have been quite numerous both from the observational and the theoretical point of view.
The large-scale structure of the Universe is dominated by vast voids with galaxies clustered in knots, sheets, and filaments, forming a great 'cosmic web'. In this personal account of the major astronomical developments leading to this discovery, we learn from Laird A. Thompson, a key protagonist, how the first 3D maps of galaxies were created. Using non-mathematical language, he introduces the standard model of cosmology before explaining how and why ideas about cosmic voids evolved, referencing the original maps, reproduced here. His account tells of the competing teams of observers, racing to publish their results, the theorists trying to build or update their models to explain them, and the subsequent large-scale survey efforts that continue to the present day. This is a well-documented account of the birth of a major pillar of modern cosmology, and a useful case study of the trials surrounding how this scientific discovery became accepted.
A solution of the Einstein equations is by definition cosmological if it can reproduce the Friedmann (1922, 1924), Lemaitre (1927, 1931), Robertson (1929, 1933), and Walker (1935) (FLRW) metric by taking limiting values of arbitrary constants or functions. It has been a conventional wisdom in cosmology that the FLRW models successfully describe the large scale properties of our observed Universe, even since the 1930ies.
We live in this universe. Hence, it is essential to understand the origin, evolution and ultimate fate of the universe. This can be, effectively, done by constructing mathematical models of the universe, using Einstein's theory of gravitation and other modified theories of gravitation. The models, thus, obtained can be compared with the present day observations, to decide about the shape, physics, and origin of the universe. With this motivation we have taken up the investigations in this book entitled "STUDIES ON GRAVITATIONAL FIELD EQUATIONS AND IMPORTANT RESULTS OF RELATIVISTIC COSMOLOGY". This book comprises of six chapters and deals with some spatially homogeneous isotropic and anisotropic cosmological models of the universe in some modified theories of gravitation.
Inflationary cosmology has been developed over the last twenty years to remedy serious shortcomings in the standard hot big bang model of the universe. This textbook, first published in 2005, explains the basis of modern cosmology and shows where the theoretical results come from. The book is divided into two parts; the first deals with the homogeneous and isotropic model of the Universe, the second part discusses how inhomogeneities can explain its structure. Established material such as the inflation and quantum cosmological perturbation are presented in great detail, however the reader is brought to the frontiers of current cosmological research by the discussion of more speculative ideas. An ideal textbook for both advanced students of physics and astrophysics, all of the necessary background material is included in every chapter and no prior knowledge of general relativity and quantum field theory is assumed.
Surveying key developments and open issues in cosmology for graduate students and researchers, this book focuses on the general concepts and relations that underpin the standard model of the Universe. It also examines anisotropic and inhomogeneous models, and deeper issues, such as quantum cosmology and the multiverse proposal.
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. The most peculiar feature of this book is its uniqueness in treating advanced topics of quantum cosmology with a well-traced link to more canonical and pedagogical notions of fundamental cosmology.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.
This 2001 book explains the construction of exact soliton solutions to Einstein's theory of gravity.