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Singular General Relativity
Authored by
Ovidiu Cristinel Stoica
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 BigBang singularity, which gained by this a description in terms of finite quantities which have both geometric and physical meaning. Moreover, a large class of BigBang 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 highenergy limit. This opens the perspective of perturbative quantum gravity without modifying General Relativity.
 Publication Date:
 20150421
 ISBN/EAN13:
 1927763347 / 9781927763346
 Page Count:
 140
 Binding Type:
 US Trade Paper
 Trim Size:
 6" x 9"
 Language:
 English
 Color:
 Black and White
 Related Categories:
 Science / Physics / Relativity
