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The objective of this paper is to discuss the dynamical instability in the context of Newtonian and post Newtonian regimes. For this purpose, we consider non-viscous heat conducting charged isotropic fluid as a collapsing matter with…

General Relativity and Quantum Cosmology · Physics 2015-06-04 M. Sharif , M. Azam

We consider a dynamical system subjected to weak but adiabatically slow fluctuations of external origin. Based on the ``adiabatic following'' approximation we carry out an expansion in \alpha/|\mu|, where \alpha is the strength of…

Statistical Mechanics · Physics 2009-10-31 S. K. Banik , D. S. Ray

We consider the non-Gaussianity of the nonlinear density perturbations in a single-field inflationary model when a scalar field couples nonminimally with gravity. Gravity theories with a nonminimal coupling can be transformed into the…

Astrophysics · Physics 2007-05-23 Seoktae Koh

The effective anisotropic stresses induced by the scalar modes of the geometry depend on the coordinate system so that the comparison of the competing results is ultimately determined by the evolution of the pivotal variables in each…

High Energy Physics - Theory · Physics 2021-02-24 Massimo Giovannini

Perturbations in a Chaplygin gas, characterized by an equation of state $p = -A/\rho$, may acquire non-adiabatic contributions if spatial variations of the parameter $A$ are admitted. This feature is shown to be related to a specific…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Winfried Zimdahl , Julio C. Fabris

We show that a perturbed inflationary spacetime, driven by a canonical single scalar field, is invariant under a special class of coordinate transformations together with a field reparametrization of the curvature perturbation in co-moving…

Cosmology and Nongalactic Astrophysics · Physics 2018-05-15 Rafael Bravo , Sander Mooij , Gonzalo A. Palma , Bastián Pradenas

I review the standard analysis of adiabatic scalar and tensor perturbations produced by slow-roll inflation driven by a single scalar field, before going on to discuss recent work on the role of non-adiabatic modes during and after…

Astrophysics · Physics 2007-05-23 David Wands

In this note we study the adiabatic perturbation spectrum of N-flation with power law potential. We show that the scalar spectrum of N-flation is generally redder than that of its corresponding single field. The result obtained for that…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Yun-Song Piao

We investigate the perturbations of charged scalar field in $5$-dimensional Gauss-Bonnet AdS black hole backgrounds. From the perturbation behaviors we obtain the objective picture on how the high curvature influence the spacetime…

High Energy Physics - Theory · Physics 2014-11-21 Yunqi Liu , Qiyuan Pan , Bin Wang , Rong-Gen Cai

We consider stochastic scalar conservation laws with spatially inhomogeneous flux. The regularity of the flux function with respect to its spatial variable is assumed to be low, so that entropy solutions are not necessarily unique in the…

Analysis of PDEs · Mathematics 2019-05-07 Benjamin Gess , Mario Maurelli

We present a gauge-invariant formalism to study the evolution of the curvature and entropy perturbations in the case in which spatial and time variations of the inflaton decay rate into ordinary matter are present. During the reheating…

Astrophysics · Physics 2009-11-10 Sabino Matarrese , Antonio Riotto

We discuss the intimate connection between the chaotic dynamics of a classical field theory and the instability of the one-loop effective action of the associated quantum field theory. Using the example of massless scalar electrodynamics,…

High Energy Physics - Theory · Physics 2009-10-30 Sergei G. Matinyan , Berndt Müller

Spontaneous scalarization is an interesting mechanism for modification of gravity by nonminimal coupling of a scalar field to matter or curvature invariants in the context of scalar-tensor theories, and its onset is signaled by linear…

General Relativity and Quantum Cosmology · Physics 2019-02-21 Hayato Motohashi , Shinji Mukohyama

In the present contribution we consider a singular phase field system located in a smooth and bounded three-dimensional domain. The entropy balance equation is perturbed by a logarithmic nonlinearity and by the presence of an additional…

Analysis of PDEs · Mathematics 2017-07-10 Pierluigi Colli , Michele Colturato

We present a hybrid study that combines a concise review of scalar-field cosmology with new analytic developments that integrate averaging reductions for oscillatory regimes with dynamical-systems techniques. For oscillatory fields, we…

General Relativity and Quantum Cosmology · Physics 2026-04-15 Genly Leon , Aleksander Kozak , Claudio Michea

In Randall-Sundrum-type brane-world cosmologies, density perturbations generate Weyl curvature in the bulk, which in turn backreacts on the brane via stress-energy perturbations. On large scales, the perturbation equations contain a closed…

High Energy Physics - Theory · Physics 2009-10-31 Christopher Gordon , Roy Maartens

Non-Hermitian systems are widespread in both classical and quantum physics. The dynamics of such systems has recently become a focal point of research, showcasing surprising behaviors that include apparent violation of the adiabatic theorem…

Quantum Physics · Physics 2026-01-15 Parveen Kumar , Yuval Gefen , Kyrylo Snizhko

Adiabatic perturbations in the cosmology of a quintessential scalar field with exponential potential gravitationally coupled to radiation/matter are investigated in a gauge invariant formalism. The main question addressed in this paper is…

Astrophysics · Physics 2009-11-06 Tassilo Ott

We present a comprehensive study of the phase transitions in the single-field reaction-diffusion stochastic systems with field-dependent mobility of a power-low form and the internal fluctuations. Using variational principles and mean-field…

Statistical Mechanics · Physics 2015-05-13 V. O. Kharchenko

It has been pointed out that matter bounce cosmology driven by a k-essence field cannot satisfy simultaneously the observational bounds on the tensor-to-scalar ratio and non-Gaussianity of the curvature perturbation. In this paper, we show…

General Relativity and Quantum Cosmology · Physics 2020-02-26 Shingo Akama , Shin'ichi Hirano , Tsutomu Kobayashi