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The Golden Oldies series of the journal General Relativity and
Gravitation reprints important papers in general relativity theory
that were published 30 or more years ago and are either hard to get
hold of, or were originally printed in a language other than
English. They play a key part in making these important papers
readily accessible today, in the language that has now become the
lingua franca of scientific publication. The value of this
reprinting is enhanced by an accompanying editorial note for each
paper, which briefly explains the significance of the work and
where it has subsequently led to, together with a biographical note
about the author or authors. This volume presents a selection of 14
rarities among the Golden Oldies grouped in the three categories
"Basic results in differential geometry and general relativity,"
"Discussion of physical effects" and "Basic exact solutions and
their interpretation." Researchers in the field will appreciate
having these important papers collected in one book for the first
time. Reprinted from the journal General Relativity and
Gravitation.
The Golden Oldies series of the journal General Relativity and
Gravitation reprints important papers in general relativity theory
that were published 30 or more years ago and are either hard to get
hold of, or were originally printed in a language other than
English. They play a key part in making these important papers
readily accessible today, in the language that has now become the
lingua franca of scientific publication. The value of this
reprinting is enhanced by an accompanying editorial note for each
paper, which briefly explains the significance of the work and
where it has subsequently led to, together with a biographical note
about the author or authors. This volume presents a selection of 14
rarities among the Golden Oldies grouped in the three categories
"Basic results in differential geometry and general relativity,"
"Discussion of physical effects" and "Basic exact solutions and
their interpretation." Researchers in the field will appreciate
having these important papers collected in one book for the first
time. Reprinted from the journal General Relativity and
Gravitation.
Cosmology has been transformed by dramatic progress in
high-precision observations and theoretical modelling. This book
surveys key developments and open issues for graduate students and
researchers. Using a relativistic geometric approach, it focuses on
the general concepts and relations that underpin the standard model
of the Universe. Part I covers foundations of relativistic
cosmology whilst Part II develops the dynamical and observational
relations for all models of the Universe based on general
relativity. Part III focuses on the standard model of cosmology,
including inflation, dark matter, dark energy, perturbation theory,
the cosmic microwave background, structure formation and
gravitational lensing. It also examines modified gravity and
inhomogeneity as possible alternatives to dark energy. Anisotropic
and inhomogeneous models are described in Part IV, and Part V
reviews deeper issues, such as quantum cosmology, the start of the
universe and the multiverse proposal. Colour versions of some
figures are available at www.cambridge.org/9780521381154.
Integration of differential equations is a central problem in
mathematics and several approaches have been developed by studying
analytic, algebraic, and algorithmic aspects of the subject. One of
these is Differential Galois Theory, developed by Kolchin and his
school, and another originates from the Soliton Theory and Inverse
Spectral Transform method, which was born in the works of Kruskal,
Zabusky, Gardner, Green and Miura. Many other approaches have also
been developed, but there has so far been no intersection between
them. This unique introduction to the subject finally brings them
together, with the aim of initiating interaction and collaboration
between these various mathematical communities. The collection
includes a LMS Invited Lecture Course by Michael F. Singer,
together with some shorter lecture courses and review articles, all
based upon a mini-programme held at the International Centre for
Mathematical Sciences (ICMS) in Edinburgh.
Cosmology has been transformed by dramatic progress in
high-precision observations and theoretical modelling. This book
surveys key developments and open issues for graduate students and
researchers. Using a relativistic geometric approach, it focuses on
the general concepts and relations that underpin the standard model
of the Universe. Part I covers foundations of relativistic
cosmology whilst Part II develops the dynamical and observational
relations for all models of the Universe based on general
relativity. Part III focuses on the standard model of cosmology,
including inflation, dark matter, dark energy, perturbation theory,
the cosmic microwave background, structure formation and
gravitational lensing. It also examines modified gravity and
inhomogeneity as possible alternatives to dark energy. Anisotropic
and inhomogeneous models are described in Part IV, and Part V
reviews deeper issues, such as quantum cosmology, the start of the
universe and the multiverse proposal. Colour versions of some
figures are available at www.cambridge.org/9780521381154.
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