Singular General Relativity (Doctoral Theses)

Singular General Relativity (Doctoral Theses)

This Thesis deals with recent progress regarding singularities in General Relativity. Singularities are predicted by the theory, but raise difficult problems, because they make the usual equations to be plagued with infinities and to break down. To resolve some of these problems, extensions of differential geometry and of Einstein's equation to singularities were needed, and were constructed by the author. This generalization works easily at the Big-Bang singularity, which gained by this a description in terms of finite quantities which have both geometric and physical meaning. Moreover, a large class of Big-Bang singularities which are not necessarily homogeneous or isotropic is presented. In addition, these singularities satisfy the Weyl curvature hypothesis, emitted by Penrose to explain the arrow of time. The black hole singularities apparently are more difficult to deal with, but by applying a special procedure they turn out as well to admit a description in terms of finite quantities. In addition, these singularities exhibit a (geo)metric dimensional reduction, which might act as a regulator for the quantum fields, including for quantum gravity, in the high-energy limit. This opens the perspective of perturbative quantum gravity without modifying General Relativity.
Country USA
Brand Minkowski Institute Press
Manufacturer Minkowski Institute Press
Binding Paperback
ItemPartNumber black & white illustrations
UnitCount 1
EANs 9781927763346
ReleaseDate 0000-00-00

Country	USA
Brand	Minkowski Institute Press
Manufacturer	Minkowski Institute Press
Binding	Paperback
ItemPartNumber	black & white illustrations
UnitCount	1
EANs	9781927763346
ReleaseDate	0000-00-00

Singular General Relativity (Doctoral Theses)

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