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A Nonsingular universe

Robert H. Brandenberger
- pp 102-112
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TLDR
This work proposes a modification of the Einstein theory of gravitation for which all isotropic cosmological solutions (even including matter) are nonsingular, and all solutions asymptotically approach de Sitter space, a solution with limiting curvature.
Abstract
We construct an effective action for gravity in which all homogeneous solutions are nonsingular. In particular, there is neither a big bang nor a big crunch. The action is a higher derivative modification of Einstein's theory constructed in analogy to how the action for point particle motion in special relativity is obtained from Newtonian mechanics.

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References
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f ( R ) theories of gravity

TL;DR: In this article, the authors present a review of the most important aspects of the different classes of modified gravity theories, including higher-order curvature invariants and metric affine.
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f(T) teleparallel gravity and cosmology

TL;DR: In this paper, the role of torsion in gravity has been extensively investigated along the main direction of bringing gravity closer to its gauge formulation and incorporating spin in a geometric description.
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Formation and Evaporation of Nonsingular Black Holes

TL;DR: Regular (nonsingular) space-times are given that describe the formation of a (locally defined) black hole from an initial vacuum region, its quiescence as a static region, and its subsequent evaporation to a vacuum region.
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Quintom Cosmology: theoretical implications and observations

TL;DR: In this paper, a no-go theorem existing in quintom cosmology is introduced, and based on it, conditions for the equation of state of dark energy realizing the quintom scenario are discussed.
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The pre-big bang scenario in string cosmology

TL;DR: In this paper, physical motivations, phenomenological consequences, and open problems of the so-called pre-big bang scenario in superstring cosmology are reviewed, as well as some open problems.
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