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In this paper we examine the stability of scalar perturbations in nonsingular models which emerge from an interacting vacuum component. The analysis developed in this paper relies on two phenomenological choices for the energy exchange…

General Relativity and Quantum Cosmology · Physics 2024-05-24 Filipe Cattete Alves , Rodrigo Maier

Single scalar field inflation with a generic, non-quadratic in derivatives, field Lagrangian is considered. It is shown that non-Gaussianity of curvature perturbations is characterized by two dimensionless amplitudes. One of these…

Astrophysics · Physics 2009-11-10 Andrei Gruzinov

We revisit nonsingular cosmologies in which the limiting curvature hypothesis is realized. We study the cosmological perturbations of the theory and determine the general criteria for stability. For the simplest model, we find generic…

High Energy Physics - Theory · Physics 2017-08-08 Daisuke Yoshida , Jerome Quintin , Masahide Yamaguchi , Robert H. Brandenberger

The celebrated Weinberg theorem in cosmological perturbation theory states that there always exist two adiabatic scalar modes in which the comoving curvature perturbation is conserved on super-horizon scales. In particular, when the…

High Energy Physics - Theory · Physics 2015-12-23 Mohammad Akhshik , Hassan Firouzjahi , Sadra Jazayeri

We make a perturbative analysis of the number of degrees of freedom in a large class of metric theories respecting spatial symmetries, of which the Lagrangian includes kinetic terms of both the spatial metric and the lapse function. We show…

General Relativity and Quantum Cosmology · Physics 2019-05-13 Xian Gao , Chao Kang , Zhi-Bang Yao

We consider multidimensional gravitational models with a nonlinear scalar curvature term and form fields in the action functional. In our scenario it is assumed that the higher dimensional spacetime undergoes a spontaneous compactification…

High Energy Physics - Theory · Physics 2007-05-23 U. Guenther , P. Moniz , A. Zhuk

We present the redshift-space generalization of the equal-time angular-averaged consistency relations between $(\ell+n)$- and $n$-point polyspectra of the cosmological matter density field. Focusing on the case of $\ell=1$ large-scale mode…

Cosmology and Nongalactic Astrophysics · Physics 2015-12-16 Takahiro Nishimichi , Patrick Valageas

We study a Newtonian cosmological model in the context of a noncommutative space. It is shown that the trajectories of a test particle undergo modifications such that it no longer satisfies the cosmological principle. For the case of a…

High Energy Physics - Theory · Physics 2010-11-05 Juan M. Romero , J. A. Santiago

We discuss static particle-like solitons in the 2+1 dimensional CP(1) model with a small mass deformation $m$ preserving a $U(1) \times Z_2$ symmetry in the Lagrangian. Due to the breaking of scale invariance, the energy function becomes a…

High Energy Physics - Theory · Physics 2014-02-26 Adam J Peterson

We derive a set of equations monitoring the evolution of covariant and gauge-invariant linear scalar perturbations of Friedman-Lema\^itre-Robertson-Walker models with multiple interacting non-linear scalar fields. We use a dynamical…

General Relativity and Quantum Cosmology · Physics 2014-08-06 Artur Alho , Filipe C. Mena

Commensurate scale relations are perturbative QCD predictions which relate observable to observable at fixed relative scale, such as the "generalized Crewther relation", which connects the Bjorken and Gross-Llewellyn Smith deep inelastic…

High Energy Physics - Phenomenology · Physics 2007-05-23 Stanley J. Brodsky , Johan Rathsman

These lectures address the dynamics of phase ordering out of equilibrium in condensed matter and in quantum field theory in cosmological settings, emphasizing their similarities and differences. In condensed matter we describe the…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. Boyanovsky , H. J. de Vega , R. Holman

In the present work, we apply consistency relation tests to several cosmological models, including the flat and non-flat $\Lambda$CDM models, as well as the flat XCDM model. The analysis uses a non-parametric Gaussian Processes method to…

Cosmology and Nongalactic Astrophysics · Physics 2023-11-20 J. F. Jesus , A. A. Escobal , R. Valentim , S. H. Pereira

We study the symmetries enjoyed by the Newtonian equations of motion of the non-relativistic dark matter fluid coupled to gravity which give rise to the phenomenon of gravitational instability. We also discuss some consistency relations…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-12 A. Kehagias , A. Riotto

We consider scalar perturbations of energy--density for a class of cosmological models where an early phase of accelerated expansion evolves, without any fine--tuning for graceful exit, towards the standard Friedman eras of observed…

General Relativity and Quantum Cosmology · Physics 2007-05-23 S. Capozziello , G. Lambiase , G. Scarpetta

We define `third derivative' General Relativity, by promoting the integration measure in Einstein-Hilbert action to be an arbitrary $4$-form field strength. We project out its local fluctuations by coupling it to another $4$-form field…

High Energy Physics - Theory · Physics 2022-09-21 Nemanja Kaloper

Primordial perturbations in our universe are believed to have a quantum origin, and can be described by the wavefunction of the universe (or equivalently, cosmological correlators). It follows that these observables must carry the imprint…

High Energy Physics - Theory · Physics 2021-06-16 Scott Melville , Enrico Pajer

After introducing gauge-invariant cosmological perturbation theory we give an improved set of governing equations for multiple fluids including energy transfer. Having defined adiabatic and entropic perturbations we derive the…

Astrophysics · Physics 2007-05-23 Karim A. Malik

In this paper we show how quantum corrections, although perturbatively small, may play an important role in the analysis of the existence of some classical models. This, in fact, appears to be the case of static, uniform--density models of…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Manuela Campanelli , Carlos O. Lousto

We have recently proposed a simple relativistic theory which reduces to modified Newtonian dynamics for the weak-field quasistatic situations applied to galaxies, and to cosmological behavior as in the $\Lambda$CDM model, yielding a…

General Relativity and Quantum Cosmology · Physics 2022-11-29 Constantinos Skordis , Tom Zlosnik