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Books > Science & Mathematics > Physics > Relativity physics
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On the Topology and Future Stability of the Universe (Hardcover, New)
Loot Price: R3,252
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On the Topology and Future Stability of the Universe (Hardcover, New)
Series: Oxford Mathematical Monographs
Expected to ship within 12 - 19 working days
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The standard starting point in cosmology is the cosmological
principle; the assumption that the universe is spatially
homogeneous and isotropic. After imposing this assumption, the only
freedom left, as far as the geometry is concerned, is the choice of
one out of three permissible spatial geometries, and one scalar
function of time. Combining the cosmological principle with an
appropriate description of the matter leads to the standard models.
It is worth noting that these models yield quite a successful
description of our universe. However, even though the universe may,
or may not, be almost spatially homogeneous and isotropic, it is
clear that the cosmological principle is not exactly satisfied.
This leads to several questions. The most natural one concerns
stability: given initial data corresponding to an expanding model
of the standard type, do small perturbations give rise to solutions
that are similar to the future? Another question concerns the shape
of the universe: what are the restrictions if we only assume the
universe to appear almost spatially homogeneous and isotropic to
every observer? The main purpose of the book is to address these
questions. However, to begin with, it is necessary to develop the
general theory of the Cauchy problem for the Einstein-Vlasov
equations. In order to to make the results accessible to
researchers who are not mathematicians, but who are familiar with
general relativity, the book contains an extensive prologue putting
the results into a more general context.
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