Dybalski, Wojciech Wrochna, Michał

In the setting of non-interacting Klein–Gordon fields on asymptotically anti-de Sitter spacetimes, we show that algebras of observables localized in a neighborhood of the boundary are subalgebras of a boundary algebra. The underlying mechanism is directly related to holography for classical fields. In particular, the proof relies on unique continua...

Pattison, Chris Vennin, Vincent Assadullahi, Hooshyar Wands, David

We study the stochastic formalism of inflation beyond the usual slow-roll approximation. We verify that the assumptions on which the stochastic formalism relies still hold even far from the slow-roll attractor. This includes demonstrating the validity of the separate universe approach to evolving long-wavelength scalar field perturbations beyond sl...

Feng, Dahe Li, Jibin Jiao, Jianjun
Published in
Qualitative Theory of Dynamical Systems

This work researches the singular traveling wave system of the (n+1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\hbox {n}+1$$\end{document})-dimensional nonlinear Kl...

Onate, C. A. Ikot, A. N. Onyeaju, M. C. Ituen, E. E. Aghemenloh, E. Ebomwonyi, O.
Published in
Journal of the Korean Physical Society

The approximate solutions of the Klein-Gordon equation with the shifted Tietz-Wei potential function are thoroughly studied for Klein-Gordon equation with both 2V and V potentials by using a suitable approximation scheme for the centrifugal term in the framework of the supersymmetric approach. The non-relativistic limits in both cases are obtained,...

Martineau, Killian Barrau, Aurélien Grain, Julien

For most initial conditions, cosmologically relevant physical modes were trans-Planckian at the bounce time, often by many magnitude orders. We improve the usual loop quantum cosmology calculation of the primordial power spectra — in the inflationary framework — by accounting for those trans-Planckian effects through modified dispersion relations. ...

Brax, Philippe Davis, Anne-Christine

We consider how a nearly massless scalar field conformally and disformally coupled to matter can affect the dynamics of gravitationally interacting bodies. We focus on the case of two interacting objects, and we obtain the effective metric driving the dynamics of the two-body system when reduced to one body in the center-of-mass frame. We then conc...

Vasy, András Wrochna, Michał

We consider the wave equation on asymptotically Minkowski spacetimes and the Klein–Gordon equation on even asymptotically de Sitter spaces. In both cases, we show that the extreme difference of propagators (i.e., retarded propagator minus advanced, or Feynman minus anti-Feynman), defined as Fredholm inverses, induces a symplectic form on the space ...

Côte, Raphaël Martel, Yvan

For the nonlinear Klein-Gordon equation in R 1+d , we prove the existence of multi-solitary waves made of any number N of decoupled bound states. This extends the work of Côte and Muñoz (Forum Math. Sigma 2 (2014)) which was restricted to ground states, as were most previous similar results for other nonlinear dispersive and wave models.

Alkahtani, Badr Saad T Atangana, Abdon Koca, Ilknur
Published in
Advances in Difference Equations

A numerical analysis of the well-known linear partial differential equation describing the relativistic wave is presented in this work. Three different operators of fractional differentiation with power law, exponential decay law and Mittag-Leffler law are employed to extend the Klein-Gordon equation with mass parameter to the concept of fractional...

Dold, Dominic Nicolas

In recent years, more and more efforts have been expended on the study of $n$-dimensional asymptotically anti-de Sitter spacetimes $(\mathcal{M},g)$ as solutions to the Einstein vacuum equations \begin{align*} \mathrm{Ric}(g)=\frac{2}{n-2}\Lambda\, g \end{align*} with negative cosmological constant $\Lambda$. This has been motivated mainly by the c...