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We formulate nonlinear perturbations of a scalar field dominated universe on super-horizon scales. We consider the case of a single scalar field. We take the gradient expansion approach. We adopt the uniform Hubble slicing and derive the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Yoshiharu Tanaka , Misao Sasaki

In this letter we review the separate universe approach for cosmological perturbations and point out that it is essentially the lowest order approximation to a gradient expansion. Using this approach, one can study the nonlinear evolution…

Astrophysics · Physics 2009-11-10 G. I. Rigopoulos , E. P. S. Shellard

We develop a theory of non-linear cosmological perturbations at superhorizon scales for a scalar field with a Lagrangian of the form $P(X,\phi)$, where $X=-\partial^{\mu}\phi\partial_{\mu}\phi$ and $\phi$ is the scalar field. We employ the…

General Relativity and Quantum Cosmology · Physics 2009-01-16 Yu-ichi Takamizu , Shinji Mukohyama

We investigate the effects of large scalar inhomogeneities during the kination epoch, a period in which the universe's dynamics are dominated by the kinetic energy of a scalar field, by fully evolving the Einstein equations using numerical…

Cosmology and Nongalactic Astrophysics · Physics 2026-02-25 Cheng Cheng , Panagiotis Giannadakis , Lucien Heurtier , Eugene A. Lim

We consider the dynamics of a multi-component scalar field on super-horizon scales in the context of inflationary cosmology. We present a method to solve the perturbation equations on super- horizon scales, i.e., in the long wavelength…

General Relativity and Quantum Cosmology · Physics 2009-10-09 Misao Sasaki , Takahiro Tanaka

We consider the evolution of a scalar field coupled to curvature in topological black hole spacetimes. We solve numerically the scalar wave equation with different curvature-coupling constant $\xi$ and show that a rich spectrum of wave…

High Energy Physics - Theory · Physics 2009-11-07 Bin Wang , Elcio Abdalla , R. B. Mann

Based on the hyperboloidal framework, we research the dynamical process of charged de Sitter black holes scattered by a charged scalar field. From the linear perturbation analysis, with the coupling strength within a critical interval, the…

General Relativity and Quantum Cosmology · Physics 2025-02-17 Zhen-Tao He , Qian Chen , Yu Tian , Cheng-Yong Zhang , Hongbao Zhang

We study the complete time evolution of scalar fields propagating in space-times of higher dimensional Lifshitz Black Holes with dynamical critical exponent $z=2$, obtained from a theory including the most general quadratic curvature…

General Relativity and Quantum Cosmology · Physics 2015-06-12 Elcio Abdalla , Owen Pavel Fernández Piedra , Fidel Sosa Nuñez , Jeferson de Oliveira

Massive spin-2 fields, which arise in proposed extensions of the standard model of particle physics and general relativity, give rise to a superradiant instability around spinning black holes. We study the nonlinear evolution of this…

General Relativity and Quantum Cosmology · Physics 2025-09-18 Taillte May , William E. East

We investigate the phenomenology of a Standard Model extension incorporating an inert scalar doublet and a gauged $U(1)_{B-L}$ symmetry. Our analysis reveals regions of the parameter space that support strong first-order phase transitions,…

High Energy Physics - Phenomenology · Physics 2025-05-14 Indra Kumar Banerjee , Ujjal Kumar Dey , Shaaban Khalil

We present a covariant formalism for studying nonlinear perturbations of scalar fields. In particular, we consider the case of two scalar fields and introduce the notion of adiabatic and isocurvature covectors. We obtain differential…

Astrophysics · Physics 2010-10-27 David Langlois , Filippo Vernizzi

The relation between the long wavelength limit of solutions to the cosmological perturbation equations and the perturbations of solutions to the exactly homogeneous background equations is investigated for scalar perturbations on spatially…

General Relativity and Quantum Cosmology · Physics 2009-10-30 H. Kodama , T. Hamazaki

We study the cosmological perturbations of the recently proposed extension of non-linear massive gravity with a scalar field. The added scalar field ensures a new symmetry on the field space of the theory. The theory has the property of…

General Relativity and Quantum Cosmology · Physics 2013-07-12 Zahra Haghani , Hamid Reza Sepangi , Shahab Shahidi

The perturbation theory plays an important role in studying structure formation in cosmology and post-Newtonian physics, but not all phenomena can be described by the linear perturbation theory. Thus, It is necessary to study exact…

General Relativity and Quantum Cosmology · Physics 2018-07-17 Alireza Allahyari , Javad T. Firouzjaee , Reza Mansouri

We study influence of scalar fields on Nonlinear Electrodynamics spacetimes. The investigation is carried out using both test and gravitating scalar fields. After revisiting Einstein-Maxwell scalar field solutions we focus on analytic…

General Relativity and Quantum Cosmology · Physics 2020-06-15 T. Tahamtan

We study scalar field perturbations on the background of non-supersymmetric black rings and of supersymmetric black rings. In the infinite-radius limit of these geometries, we are able to separate the wave equation, and to study wave…

High Energy Physics - Theory · Physics 2016-09-06 Vitor Cardoso , Oscar J. C. Dias , Shijun Yoshida

We investigate the enhancement of the power spectra large enough to produce primordial black holes in models with multiple scalar fields. We present analytic solutions for the perturbations in the case of constant turns without the need for…

High Energy Physics - Theory · Physics 2024-09-12 Perseas Christodoulidis , Jinn-Ouk Gong

We numerically construct asymptotically extremal black holes through the nonlinear evolution of a charged scalar field. Our procedure -- which extends the work of Murata-Reall-Tanahashi to include charged scalar dynamics -- involves the…

General Relativity and Quantum Cosmology · Physics 2026-02-13 Zachary Gelles , Frans Pretorius

In classical general relativity astrophysical black holes can be affected by the superradiant instability when gravity is minimally coupled to a light bosonic field. The majority of phenomenological studies have focused on the idealized…

General Relativity and Quantum Cosmology · Physics 2021-05-14 Giuseppe Ficarra

We study non-linear contributions to the power spectrum of the curvature perturbation on super-horizon scales, produced during slow-roll inflation driven by a canonical single scalar field. We find that on large scales the linear power…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-20 Jinn-Ouk Gong , Hyerim Noh , Jai-chan Hwang
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