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Particle production in cosmology is often efficiently computed in terms of Bogoliubov transforms. Restricting to a particular class of dispersion relationships, we identify a map between the number of particles produced in a special…

High Energy Physics - Theory · Physics 2025-06-18 Daniel J. H. Chung , Nidhi Sudhir

In this work we consider particle creation by the expansion of the universe, using two Bianchi type I anisotropic models. The particles studied are of spin 0 and 1/2. The cosmological models have rotational symmetry, which allows us to…

General Relativity and Quantum Cosmology · Physics 2021-07-07 Luis O. Pimentel , Flavio Pineda

According to the cosmological principle, the Universe should appear isotropic, without any preferred directions, to an observer whom we may consider to be fixed in the co-moving co-ordinate system of the expanding Universe. Such an observer…

Cosmology and Nongalactic Astrophysics · Physics 2013-06-11 Ashok K. Singal

The homogeneous and isotropic radiation dominated universe, following the inflationary stage, is expressed as a spherically symmetric and inhomogeneous spacetime upon a power law type conformal transformation of the null (cosmological)…

General Relativity and Quantum Cosmology · Physics 2018-05-24 Sujoy K. Modak

The Bogoliubov transformation is generally derived in the context of identical bosons with the use of ``second quantized'' a and $a^{\dagger}$ operators (or, equivalently, in field theory). Here, we show that the transformation, together…

Statistical Mechanics · Physics 2007-05-23 Markus Holzmann , Franck Laloë

In the presence of anisotropic cosmic expansions at global or local scale the equations of electrodynamics in expanding space-time are modified and presented here. A new effect should arise in regions of local anisotropic expansion in a…

Cosmology and Nongalactic Astrophysics · Physics 2013-01-01 Paolo Ciarcelluti

We give the generalization of the method of the space-time description of particle creation by a gravitational field for a scalar field with nonconformal coupling to the curvature. The space-time correlation function is obtained for a…

General Relativity and Quantum Cosmology · Physics 2008-12-18 Yu. V. Pavlov

We compute the tensor CMB anisotropy power spectrum for singular and non-singular instantons describing the beginning of an open universe according to the Euclidean no boundary proposal. Singular instantons occur generically, whereas…

Astrophysics · Physics 2009-12-30 Steven Gratton , Thomas Hertog , Neil Turok

The isotropy of space is not a logical requirement but rather is an empirical question; indeed there is suggestive evidence that universe might be anisotropic. A plausible source of these anisotropies could be quantum gravity corrections.…

General Relativity and Quantum Cosmology · Physics 2021-07-07 Robert B. Mann , Idrus Husin , Hrishikesh Patel , Mir Faizal , Anto Sulaksono , Agus Suroso

In this paper we give a general expression for the energy shift of massless particles travelling through the gravitational field of an arbitrary matter distribution as calculated in the weak field limit in an asymptotically flat space-time.…

Astrophysics · Physics 2009-12-30 Albert Stebbins , Shoba Veeraraghavan

It is shown that nonlinear terms in equations of gravitons on the background of curved space-time of the expanding Universe can solve the problem of the negative square of the effective mass formally arising in linear approximation for…

General Relativity and Quantum Cosmology · Physics 2009-05-08 A. A. Grib

Peculiar velocities change the expansion rate of any observer moving relative to the smooth Hubble flow. As a result, observers in a galaxy like our Milky Way can experience accelerated expansion within a globally decelerating universe,…

Cosmology and Nongalactic Astrophysics · Physics 2011-09-29 Christos G. Tsagas

We investigate the fate of particle production in an expanding universe dominated by a perfect fluid with equation of state $p = \alpha\rho$. The rate of particle production, using the Bogolioubov coefficients, are determined exactly for…

General Relativity and Quantum Cosmology · Physics 2012-07-06 A. B. Batista , J. C. Fabris , M. J. S. Houndjo

Calculation of the Dirac hydrogen atom spectrum in the framework of dynamical fine structure constant (alpha) variability discloses a small departure in the laboratory from Sommerfeld's formula for the fine structure shifts, possibly…

Astrophysics · Physics 2007-05-23 Jacob D. Bekenstein

A variety of observational tests seem to suggest that the universe is anisotropic. This is incompatible with the standard dogma based on adiabatic, rotationally invariant perturbations. We point out that this is a consequence of the…

Astrophysics · Physics 2009-11-11 Richard A. Battye , Adam Moss

We investigate the effect of gravitational lensing, produced by linear density perturbations, for anisotropies of the Cosmic Background Radiation (CBR) on scales of arcminutes. In calculations, a flat universe ($\Omega=1$) and the…

Astrophysics · Physics 2015-06-24 J. M. Liu , J. G. Gao

We consider a multiverse scenario made up of classically disconnected regions of the space-time that are, nevertheless, in a quantum entangled state. The addition of a scalar field enriches the model and allows us to treat both the…

General Relativity and Quantum Cosmology · Physics 2015-06-17 Iñaki Garay , Salvador Robles-Pérez

This article describes the theory of cosmological perturbations around a homogeneous and anisotropic universe of the Bianchi I type. Starting from a general parameterisation of the perturbed spacetime a la Bardeen, a complete set of gauge…

Astrophysics · Physics 2008-11-26 Thiago S. Pereira , Cyril Pitrou , Jean-Philippe Uzan

We develop a method for computing the Bogoliubov transformation experienced by a confined quantum scalar field in a globally hyperbolic spacetime, due to the changes in the geometry and/or the confining boundaries. The method constructs a…

Quantum Physics · Physics 2021-11-03 Luis C. Barbado , Ana L. Báez-Camargo , Ivette Fuentes

We consider a static spherically symmetric charged anisotropic fluid source of finite physical radius (\sim 10^{-16} cm) by introducing a scalar variable \Lambda dependent on the radial coordinate r under general relativity. From the…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Saibal Ray , Sumana Bhadra