Consequences of quantum gravity on grander scales are expected
to be enormous: only such a theory can show how black holes really
behave and where our universe came from. Applications of loop
quantum gravity to cosmology have especially by now shed much light
on cosmic evolution of a universe in a fundamental, microscopic
description. Modern techniques are explained in this book which
demonstrate how the universe could have come from a non-singular
phase before the big bang, how equations for the evolution of
structure can be derived, but also what fundamental limitations
remain to our knowledge of the universe before the big bang.
The following topics will be covered in this book:
Hamiltonian cosmology: a general basic treatment of isotropy,
perturbations and their role for observations; useful in general
cosmology.
Effective equations: an efficient way to evaluate equations of
quantum gravity, which is also useful in other areas of physics
where quantum theory is involved.
Loop quantization: a new formalism for the atomic picture of
space-time; usually presented at a sophisticated mathematical
level, but evaluated here from an intuitive physical side.
The book will start with physical motivations, rather than
mathematical developments which is more common in other expositions
of this field. All the required mathematical methods will be
presented, but will not distract the reader from seeing the
underlying physics. Simple but representative models will be
presented first to show the basic features, which are then used to
work upwards to a general description of quantum gravity and its
applications in cosmology. This will make the book accessible to a
more general physics readership.
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