Mathematical cosmology
نویسندگان
چکیده
منابع مشابه
Current Trends in Mathematical Cosmology
We present an elementary account of mathematical cosmology through a series of important unsolved problems. We introduce the fundamental notion of a cosmology and focus on the issue of singularities as a theme unifying many current, seemingly unrelated trends of this subject. We discuss problems associated with the definition and asymptotic structure of the notion of cosmological solution and a...
متن کاملMathematical structure of loop quantum cosmology
Applications of Riemannian quantum geometry to cosmology have had notable successes. In particular, the fundamental discreteness underlying quantum geometry has led to a natural resolution of the big bang singularity. However, the precise mathematical structure underlying loop quantum cosmology and the sense in which it implements the full quantization program in a symmetry reduced model has no...
متن کاملAN INTRODUCTION TO MATHEMATICAL COSMOLOGY Second edition
A catalogue record for this book is available from the British Library Library of Congress Cataloguing in Publication data Islam, Jamal N. An introduction to mathematical cosmology/J. N. Islam.–2nd ed. p. cm. Includes bibliographical references and index. ISBN 0 521 49650 0 hardback ISBN 0 521 49973 9 paperback Contents Preface to the first edition page ix Preface to the second edition xi 1 Som...
متن کاملMathematical Structure of Loop Quantum Cosmology: Homogeneous Models
The mathematical structure of homogeneous loop quantum cosmology is analyzed, starting with and taking into account the general classification of homogeneous connections not restricted to be Abelian. As a first consequence, it is seen that the usual approach of quantizing Abelian models using spaces of functions on the Bohr compactification of the real line does not capture all properties of ho...
متن کاملMathematical problems in higher order gravity and cosmology
We discuss the issue of motivating the analysis of higher order gravity theories and their cosmologies and introduce a rule which states that these theories may be considered as a vehicle for testing whether certain properties may be of relevance to quantum theory. We discuss the physicality issue arising as a consequence of the conformal transformation theorem, the question of formulating a co...
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ژورنال
عنوان ژورنال: Nature
سال: 1979
ISSN: 0028-0836,1476-4687
DOI: 10.1038/278074a0