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We study the nature of asymptotic symmetries in topological 3d gravity with torsion. After introducing the concept of asymptotically anti-de Sitter configuration, we find that the canonical realization of the asymptotic symmetry is…

General Relativity and Quantum Cosmology · Physics 2009-11-10 M. Blagojevic , M. Vasilic

For spaces which are not asymptotically anti-de Sitter where the asymptotic behavior is deformed by replacing the cosmological constant by a dilaton scalar potential, we show that it is possible to have well-defined boundary stress-energy…

High Energy Physics - Theory · Physics 2009-10-31 Rong-Gen Cai , Nobuyoshi Ohta

Our understanding of quantum correlators in cosmological spacetimes, including those that we can observe in cosmological surveys, has improved qualitatively in the past few years. Now we know many constraints that these objects must satisfy…

High Energy Physics - Theory · Physics 2022-07-27 James Bonifacio , Enrico Pajer , Dong-Gang Wang

We consider a cosmology with a non-compact nonlinear sigma model.The target space is of de-Sitter type and four scalar fields are introduced.The potential is absent but cosmological constant term $\Lambda$ is added. One of the scalar fields…

General Relativity and Quantum Cosmology · Physics 2009-10-19 Joohan Lee , Tae Hoon Lee , Taeyoon Moon , Phillial Oh

A scalar field method to obtain transverse solutions of the vector Laplace and Helmholtz equations in spherical coordinates for boundary-value problems with azimuthal symmetry is described. Neither scalar nor vector potentials are used.…

Classical Physics · Physics 2007-05-23 Ernesto A. Matute

Octupolar tensors are third order, completely symmetric and traceless tensors. Whereas in 2D an octupolar tensor has the same symmetries as an equilateral triangle and can ultimately be identified with a vector in the plane, the symmetries…

Mathematical Physics · Physics 2018-12-24 Giuseppe Gaeta , Epifanio G. Virga

We study the asymptotic stability of de Sitter spacetime with respect to non-linear perturbations, by considering second order perturbations of a flat Robertson-Walker universe with dust and a positive cosmological constant. Using the…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Marco Bruni , Filipe C. Mena , Reza Tavakol

It is known that odd-dimensional de Sitter space acts as a transparent potential for free fields. Previous studies have explained this phenomena by relating de Sitter free field equations of motion to the time-independent Schrodinger…

General Relativity and Quantum Cosmology · Physics 2020-06-17 Garrett Compton , Ian A. Morrison

In the present paper we consider the Einstein-multiple-scalar field theory. When the target space of the scalar fields is a complete, simply connected Riemannian manifold with non-positive sectional curvature we prove that the static and…

General Relativity and Quantum Cosmology · Physics 2022-01-05 Stoytcho Yazadjiev

We give a complete study of the asymptotic behavior of a simple model of alignment of unit vectors, both at the level of particles , which corresponds to a system of coupled differential equations, and at the continuum level, under the form…

Analysis of PDEs · Mathematics 2018-10-17 Amic Frouvelle , Jian-Guo Liu

This is the second paper of a two part work that establishes a definitive quantitative nonlinear scattering theory for asymptotically de Sitter vacuum solutions $(M,g)$ in $(n+1)$ dimensions with $n\geq4$ even, which are determined by small…

Analysis of PDEs · Mathematics 2026-05-20 Serban Cicortas

We obtain analytic results for the four-point amplitude, at one loop, of an interacting scalar field theory in four-dimensional, Euclidean anti-de Sitter space without exerting any conformal field theory knowledge. For the two-point…

High Energy Physics - Theory · Physics 2018-09-10 Igor Bertan , Ivo Sachs

Study the behaviour and the evolution of the cosmological field equations in an homogeneous and anisotropic spacetime with two scalar fields coupled in the kinetic term. Specifically, the kinetic energy for the scalar field Lagrangian is…

General Relativity and Quantum Cosmology · Physics 2021-10-22 A. Giacomini , P. G. L. Leach , G. Leon , A. Paliathanasis

We study the dynamics of scalar fields with compact field spaces, or axions, in de Sitter space. We argue that the field space topology can qualitatively affect the physics of these fields beyond just which terms are allowed in their…

High Energy Physics - Theory · Physics 2023-11-16 Priyesh Chakraborty , John Stout

The quantum fluctuations of a test scalar field on superhorizon scale in de Sitter spacetime can be described by an effective one-dimensional stochastic theory corresponding to a particular class of nonequilibrium dynamical systems known as…

High Energy Physics - Theory · Physics 2020-02-28 G. Moreau , J. Serreau

We study the theory of interaction between charged scalar field and Maxwell field in de Sitter background. Solving the equation of interacting fields we define the in-out fields as asymptotic free fields and construct the reduction…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Cosmin Crucean , Mihaela-Andreea Băloi

We study the Einstein-scalar field system with positive cosmological constant and spherically symmetric characteristic initial data given on a truncated null cone. We prove well-posedness, global existence and exponential decay in (Bondi)…

General Relativity and Quantum Cosmology · Physics 2020-09-08 Joao L. Costa , Artur Alho , Jose Natario

A new local, covariant ``counter-term'' is used to construct a variational principle for asymptotically flat spacetimes in any spacetime dimension $ d \ge 4$. The new counter-term makes direct contact with more familiar background…

High Energy Physics - Theory · Physics 2009-11-11 Robert B. Mann , Donald Marolf

We have investigated the cosmological scenarios with a four dimensional effective action which is connected with multidimensional, supergravity and string theories. The solution for the scale factor is such that initially universe undergoes…

General Relativity and Quantum Cosmology · Physics 2014-11-17 A. A. Sen , S. Sen

This paper deals thoroughly with the scalar and electromagnetic fields of uniformly accelerated charges in de Sitter spacetime. It gives details and makes various extensions of our Physical Review Letter from 2002. The basic properties of…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Jiri Bicak , Pavel Krtous