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Increasingly accurate observations of the cosmic microwave background and the large scale distribution of galaxies necessitate the study of nonlinear perturbations of Friedmann-Lemaitre cosmologies, whose equations are notoriously…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-04 Claes Uggla , John Wainwright

This paper deals with the time evolution in the matter era of perturbations in Friedman-Lemaitre models with arbitrary density parameter $\Omega$, with either a zero cosmological constant, $\Lambda = 0$, or with a non-zero cosmological…

Astrophysics · Physics 2011-05-23 F. R. Bouchet , S. Colombi , E. Hivon , R. Juszkiewicz

Based on the gauge invariant variables proposed in our previous paper [K. Nakamura, Prog. Theor. Phys. vol.110 (2003), 723.], some formulae of the perturbative curvatures of each order are derived. We follow the general framework of the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Kouji Nakamura

We develop a gauge-invariant formalism to describe metric perturbations in five-dimensional brane-world theories. In particular, this formalism applies to models originating from heterotic M-theory. We introduce a generalized longitudinal…

High Energy Physics - Theory · Physics 2008-11-26 C. van de Bruck , M. Dorca , R. H. Brandenberger , A. Lukas

We study cosmological models involving a single real scalar field that has an equation of state parameter which evolves with cosmic time. We highlight some common parametrizations for the equation of state as a function of redshift in the…

Cosmology and Nongalactic Astrophysics · Physics 2020-08-26 J. D. Dantas , J. J. Rodrigues

We consider a cosmological scenario endowed with an interaction between the universe's dark components $-$ dark matter and dark energy. Specifically, we assume the dark matter component to be a pressure-less fluid, while the dark energy…

General Relativity and Quantum Cosmology · Physics 2021-08-03 Andronikos Paliathanasis , Genly Leon , Wompherdeiki Khyllep , Jibitesh Dutta , Supriya Pan

We study curvature perturbations in the anisotropic inflationary model with a complex scalar field charged under a $U(1)$ gauge field in Bianchi I universe. Due to Abelian Higgs mechanism, the gauge field receives an additional longitudinal…

High Energy Physics - Theory · Physics 2015-06-12 Razieh Emami , Hassan Firouzjahi

We develop a gauge-invariant formalism for the study of density perturbations in a Friedmann-Robertson-Walker universe with multiple interacting fluids and/or scalar fields. We show how N scalar fields may be described by N kinetic fluids…

Astrophysics · Physics 2009-11-10 Karim A. Malik , David Wands

We give a concise, self-contained introduction to perturbation theory in cosmology at linear and second order, striking a balance between mathematical rigour and usability. In particular we discuss gauge issues and the active and passive…

Astrophysics · Physics 2009-06-23 Karim A. Malik , David R. Matravers

In this paper, we have studied the stability of the cosmological models with dark energy and combination of matter fields and dark energy in an anisotropic space time. The pressure anisotropy along the spatial directions are derived and its…

General Relativity and Quantum Cosmology · Physics 2021-03-02 B. Mishra , Fakhereh Md. Esmaeili , Pratik P. Ray , S. K. Tripathy

Gauge theories have been a cornerstone of the description of the world at the level of the fundamental particles. The Lagrangian or the action describing the corresponding interactions is invariant under certain gauge transformations. This…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Bashir , A. Raya

Scalar fields in the minimal supersymmetric standard model may have large field values during inflation. Because of approximate global symmetry, it is plausible that the phase directions of them are nearly massless during inflation and…

High Energy Physics - Phenomenology · Physics 2020-12-30 Keisuke Harigaya , Masaki Yamada

An outline of a proof of the decomposition of linear metric perturbations into gauge-invariant and gauge-variant parts on the an arbitrary background spacetime which admits ADM decomposition is discussed. We explicitly construct the…

General Relativity and Quantum Cosmology · Physics 2016-06-21 Kouji Nakamura

Dark energy might directly interact with cold dark matter. However, in such a scenario, an early-time large-scale instability occurs occasionally, which may be due to the incorrect treatment for the pressure perturbation of dark energy as a…

Cosmology and Nongalactic Astrophysics · Physics 2014-09-24 Yun-He Li , Jing-Fei Zhang , Xin Zhang

The disformal transformation of metric $g_{\mu \nu} \to \Omega^2 (\phi)g_{\mu \nu}+\Gamma(\phi,X) \partial_{\mu}\phi \partial_{\nu}\phi$, where $\phi$ is a scalar field with the kinetic energy $X= \partial_{\mu}\phi \partial^{\mu}\phi/2$,…

General Relativity and Quantum Cosmology · Physics 2015-10-07 Shinji Tsujikawa

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

We develop the cosmological perturbations formalism in models with a single non-local scalar field originating from the string field theory description of the rolling tachyon dynamics. We construct the equation for the energy density…

High Energy Physics - Theory · Physics 2012-07-19 Alexey S. Koshelev , Sergey Yu. Vernov

Dark energy might interact with dark matter in a direct, non-gravitational way, which can help remedy several theoretical defects. In order to find out the properties of interacting dark energy models, it is necessary to investigate the…

Cosmology and Nongalactic Astrophysics · Physics 2019-05-15 Ji-Ping Dai , Junqing Xia

The characterisation of dark energy is one of the primary goals in cosmology especially now that many new experiments are being planned with the aim of reaching a high sensitivity on cosmological parameters. It is known that if we move away…

Cosmology and Nongalactic Astrophysics · Physics 2013-05-30 Domenico Sapone , Elisabetta Majerotto

We study the evolution of cosmological perturbations, using a hybrid approximation scheme which upgrades the weak-field limit of Einstein's field equations to account for post-Newtonian scalar and vector metric perturbations and for…

Astrophysics · Physics 2007-05-23 Carmelita Carbone , Sabino Matarrese
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