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General relativity does not allow one to specify the topology of space, leaving the possibility that space is multi-- rather than simply--connected. We review the main mathematical properties of multi--connected spaces, and the different…

General Relativity and Quantum Cosmology · Physics 2009-10-28 M. Lachieze-Rey , J. P. Luminet

There has been significant recent progress in observational cosmology. This, in turn, has provided an unprecedented picture of the early universe and its evolution. In this review I will present a (biased) view of how one can use these…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-16 Raul Jimenez

The idea that the vacuum energy density $\rho_{\Lambda}$ could be time dependent is a most reasonable one in the expanding Universe; in fact, much more reasonable than just a rigid cosmological constant for the entire cosmic history. Being…

General Relativity and Quantum Cosmology · Physics 2015-07-08 Harald Fritzsch , Joan Sola

For a few years now, cosmology has a standard model. By this term, we mean a consistent theoretical background which is at the same time simple and broad enough to offer coherent explanations for the vast majority of cosmological phenomena.…

Cosmology and Nongalactic Astrophysics · Physics 2010-11-26 Matthias Bartelmann

This is a review article for The Review of Particle Physics 2020 (aka the Particle Data Book). It forms a compact review of knowledge of the cosmological parameters at the end of 2019. Topics included are Parametrizing the Universe;…

Cosmology and Nongalactic Astrophysics · Physics 2019-12-10 Ofer Lahav , Andrew R Liddle

Models including an energy transfer from CDM to DE are widely considered in the literature, namely to allow DE a significant high-z density. Strongly Coupled cosmologies assume a much larger coupling between DE and CDM, together with the…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-26 S. A. Bonometto , M. Mezzetti , I. Musco , R. Mainini , A. V. Maccio'

An ensemble of cosmological models based on generalized BF-theory is constructed where the role of vacuum (zero-level) coupling constants is played by topologically invariant rational intersection forms (cosmological-constant matrices) of…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Vladimir N. Efremov , Nikolai V. Mitskievich , Alfonso M. Hernandez Magdaleno , Ramona Serrano Bautista

A huge value of cosmological constant characteristic for the particle physics and the inflation of early Universe are inherently related to each other: one can construct a fine-tuned superpotential, which produces a flat potential of…

General Relativity and Quantum Cosmology · Physics 2015-06-03 V. V. Kiselev , S. A. Timofeev

Inflationary homogeneous isotropic cosmological models filled by scalar fields and ultrarelativistic matter are examined in the framework of gauge theories of gravitation. By using quadratic scalar field potential numerical analysis of…

General Relativity and Quantum Cosmology · Physics 2007-05-23 A. V. Minkevich , A. S. Garkun

The known fundamental symmetries and interactions are well described by the Standard Model. Features of this powerful theory, which are described but not deeper explained, are addressed in a variety of speculative models. Experimental tests…

Nuclear Experiment · Physics 2009-11-11 Klaus P. Jungmann

We study the implications of a combined analysis of cosmic standard candles and standard rulers on the viability of cosmological models beyond the cosmological concordance model. To this end, we employ well-established data in the form of…

Cosmology and Nongalactic Astrophysics · Physics 2020-10-19 Manfred Lindner , Kevin Max , Moritz Platscher , Jonas Rezacek

A string-theoretic structure of the standard model is defined having a 4-D quantum gravity metric consistent with topological and algebraic first principles. Unique topological diagrams of string states, strong and weak interactions and…

General Physics · Physics 2007-05-23 Wayne R. Lundberg

Noncommutative spectral geometry succeeds in explaining the physics of the Standard Model of electroweak and strong interactions in all its details as determined by experimental data. Moreover, by construction the theory lives at very high…

High Energy Physics - Theory · Physics 2011-03-21 Mairi Sakellariadou

I review the reason for considering the prime purpose of the program of measurements of the fundamental parameters of cosmology to be the tests of cosmological models. I comment on the philosophy by which we are approaching this goal, offer…

Astrophysics · Physics 2007-05-23 P. J. E. Peebles

Average properties of general inhomogeneous cosmological models are discussed in the Newtonian framework. It is shown under which circumstances the average flow reduces to a member of the standard Friedmann--Lema\^\i tre cosmologies.…

Astrophysics · Physics 2008-02-03 T. Buchert

I describe the features and general properties of bouncing models and the evolution of cosmological perturbations on such backgrounds. I will outline possible observational consequences of the existence of a bounce in the primordial…

High Energy Physics - Theory · Physics 2009-11-10 Nelson Pinto-Neto

In string theory the coupling parameters are functions of moduli fields. The actual values of the coupling constants are then dynamically determined through the vacuum expextation values of these fields. We review the attempts to connect…

High Energy Physics - Phenomenology · Physics 2007-05-23 Hans Peter Nilles

A modification of general relativity is presented in which Newton's constant and the cosmological constant become a conjugate pair of dynamical variables.

High Energy Physics - Theory · Physics 2016-01-13 Lee Smolin

We discuss the influence of the cosmological constant on the gravitomagnetic clock effect and the gravitational time delay of electromagnetic rays. Moreover, we consider the relative motion of a binary system to linear order in the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Andrew W. Kerr , John C. Hauck , Bahram Mashhoon

The next generation of cosmological surveys will operate over unprecedented scales, and will therefore provide exciting new opportunities for testing general relativity. The standard method for modelling the structures that these surveys…

General Relativity and Quantum Cosmology · Physics 2018-03-28 Sophia R. Goldberg , Christopher Gallagher , Timothy Clifton