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The Hamiltonian approach to cosmological perturbations in general relativity in finite space-time is developed, where a cosmological scale factor is identified with spatial averaging the metric determinant logarithm. This identification…

High Energy Physics - Theory · Physics 2009-11-11 B. M. Barbashov , V. N. Pervushin , A. F. Zakharov , V. A. Zinchuk

The standard cosmological model, based on general relativity with an inflationary era, is very effective in accounting for a broad range of observed features of the universe. However, the ongoing puzzles about the nature of dark matter and…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Roy Maartens

A direct pathway from Hilbert's ``Foundation of Physics'' to Quantum Gravity is established through Dirac's Hamiltonian reduction of General Relativity and Bogoliubov's transformation by analogy with a similar pathway passed by QFT in 20th…

General Relativity and Quantum Cosmology · Physics 2007-05-23 V. N. Pervushin , V. A. Zinchuk

A collection of requirements to the General Relativity that follow from the WMAP observations of the Cosmic Microwave Background radiation anisotropy as an inertial frame are discussed. These obligations include the separation of both the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 B. M. Barbashov , L. A. Glinka , V. N. Pervushin , A. F. Zakharov

The Hamiltonian formulation of general relativity (GR) is considered in finite space-time and a specific frame of reference given by the diffeo-invariant components of the Fock simplex in terms of the Dirac -- ADM variables. The evolution…

Astrophysics · Physics 2009-11-13 B. M. Barbashov , V. N. Pervushin , A. F. Zakharov , V. A. Zinchuk

Cosmological perturbation equations are derived systematically in a canonical scheme based on Ashtekar variables. A comparison with the covariant derivation and various subtleties in the calculation and choice of gauges are pointed out.…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Martin Bojowald , Hector H. Hernández , Mikhail Kagan , Parampreet Singh , Aureliano Skirzewski

In these notes we address the canonical quantization of the cosmological models which appear as solutions of the low energy effective action of closed bosonic string theory (dilaton models). The analysis is restricted to the quantization of…

Mathematical Physics · Physics 2007-05-23 Gabriel Catren , Claudio Simeone

The linear cosmological perturbation theory of an almost homogeneous and isotropic perfect fluid universe is reconsidered and formally simplified by introducing new covariant and gauge-invariant variables with physical interpretations on…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Winfried Zimdahl

Approaches to solutions of problems of the energy, time, Hamiltonian operator quantization of the General Relativity, the creation of the Universe from vacuum are considered in the frame of reference associated with the CMB radiation in…

High Energy Physics - Theory · Physics 2008-11-26 B. M. Barbashov , V. N. Pervushin , A. F. Zakharov , V. A. Zinchuk

The Hamiltonian theory of a relativistic string is considered in a specific reference frame in terms the diffeo-invariant variables. The evolution parameter and energy invariant with respect to the time-coordinate transformations are…

High Energy Physics - Theory · Physics 2007-05-23 B. M. Barbashov , V. N. Pervushin

We implement the method developed in [1] to construct the most general parametrised action for linear cosmological perturbations of bimetric theories of gravity. Specifically, we consider perturbations around a homogeneous and isotropic…

General Relativity and Quantum Cosmology · Physics 2017-01-27 Macarena Lagos , Pedro G. Ferreira

A discrete space-time structure lying at about the Planck scale may become manifest in the form of very small violations of the conservation of the matter energy-momentum tensor. In order to include such kind of violations, forbidden within…

Cosmology and Nongalactic Astrophysics · Physics 2022-11-15 Susana J. Landau , Micol Benetti , Alejandro Perez , Daniel Sudarsky

Homogeneous cosmology in the braneworld can be studied without solving bulk equations of motion explicitly. The reason is simply because the symmetry of the spacetime restricts possible corrections in the 4-dimensional effective equations…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Jiro Soda , Sugumi Kanno

We study cosmological solutions to the low-energy effective action of heterotic string theory including possible leading order $\alpha'$ corrections and a potential for the dilaton. We consider the possibility that including such stringy…

High Energy Physics - Theory · Physics 2007-05-23 Damien A. Easson

The cosmological perturbation theory is revisited from the holographic point of view. In the case of the single brane model, it turns out that the AdS/CFT correspondence plays an important role. In the case of the two-brane model, it is…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Jiro Soda , Sugumi Kanno

The CMB is a remarkably distortionless blackbody, and this strongly constrains the amount of energy that can have been injected at high redshift, thereby limiting the role that hydrodynamical amplification can have played in cosmic…

Astrophysics · Physics 2009-09-25 J. Richard Bond

We apply the Dirac procedure for constrained systems to the Arnowitt-Deser-Misner formalism linearized around the Friedmann-Lemaitre universe. We explain and employ some basic concepts such as Dirac observables, Dirac brackets, gauge-fixing…

General Relativity and Quantum Cosmology · Physics 2019-10-30 Przemysław Małkiewicz

The Hamiltonian approach to the General Relativity is formulated as a joint nonlinear realization of conformal and affine symmetries by means of the Dirac scalar dilaton and the Maurer-Cartan forms. The dominance of the Casimir vacuum…

General Relativity and Quantum Cosmology · Physics 2015-05-30 V. N. Pervushin , A. B. Arbuzov , B. M. Barbashov , R. G. Nazmitdinov , A. Borowiec , K. N. Pichugin , A. F. Zakharov

It is shown how cosmological perturbation theory arises from a fully quantized perturbative theory of quantum gravity. Central for the derivation is a non-perturbative concept of gauge-invariant local observables by means of which…

General Relativity and Quantum Cosmology · Physics 2016-08-24 Romeo Brunetti , Klaus Fredenhagen , Thomas-Paul Hack , Nicola Pinamonti , Katarzyna Rejzner

We suggest that the solution to the cosmological vacuum energy puzzle does not require any new field beyond the standard model, but rather can be explained as a result of the interaction of the infrared sector of the effective theory of…

Cosmology and Nongalactic Astrophysics · Physics 2011-07-13 Federico R. Urban , Ariel R. Zhitnitsky
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