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We present exact dynamical and inhomogeneous solutions in three-dimensional AdS gravity with a conformally coupled scalar field. They contain stealth configurations of the scalar field overflying the BTZ spacetime and also solutions with a…

General Relativity and Quantum Cosmology · Physics 2018-12-05 Luis Avilés , Hideki Maeda , Cristian Martinez

The aim of this paper is to report on the existence of a wide variety of exact solutions, ranging from black holes to wormholes, when a conformally coupled scalar field with a self interacting potential containing a linear, a cubic and a…

High Energy Physics - Theory · Physics 2015-06-03 Andres Anabalon , Adolfo Cisterna

Dynamics of array of coupled self-excited oscillators is considered. Model of Franklin bell is adopted as a mechanism for the self-excitation. The model allows derivation of exact analytic solutions for discrete breathers (DBs), and…

Pattern Formation and Solitons · Physics 2016-11-23 I. B. Shiroky , O. V. Gendelman

We present a class of generally covariant nonlocal gravity models which have a flat-space general relativistic (GR) limit and also possess a stable de Sitter (dS) or Anti-de Sitter (AdS) background with an arbitrary value of its…

High Energy Physics - Theory · Physics 2013-05-30 Andrei O. Barvinsky

We consider new cosmological solutions which generalize the cosmological patch of the Anti-de Sitter (AdS) space-time, allowing for fluids with equations of state such that $w\neq -1$. We use them to derive the associated full manifolds. We…

General Relativity and Quantum Cosmology · Physics 2010-05-25 Joao Magueijo , Ali Mozaffari

We explore the possibility of embedding regular compact objects with (anti) de Sitter ((A)dS) core as solutions of Einstein's gravity minimally coupled to a real scalar field. We consider, among others, solutions interpolating between an…

General Relativity and Quantum Cosmology · Physics 2023-11-29 Mariano Cadoni , Mauro Oi , Mirko Pitzalis , Andrea P. Sanna

We obtain real-valued, time-periodic and radially symmetric solutions of the cubic Klein-Gordon equation \begin{align} \partial_t^2 U - \Delta U + m^2 U = \Gamma (x) U^3 \quad \text{on } \mathbb{R} \times \mathbb{R}^3, \end{align} which are…

Analysis of PDEs · Mathematics 2020-12-02 Dominic Scheider

We use the anti-de Sitter (AdS) conformal field theory correspondence to calculate the conserved charges and the Euclidean actions of the charged rotating black string in four dimensions both in the canonical and the grand-canonical…

High Energy Physics - Theory · Physics 2009-11-07 M. H. Dehghani

Recently it has been argued that in Einstein gravity Anti-de Sitter spacetime is unstable against the formation of black holes for a large class of arbitrarily small perturbations. We examine the effects of including a Gauss-Bonnet term. In…

High Energy Physics - Theory · Physics 2015-03-05 Nils Deppe , Allison Kolly , Andrew Frey , Gabor Kunstatter

In the de Sitter ambient space formalism the massless fields, which include the linear gravity and massless minimally coupled scalar field, can be written in terms of two separate parts: a massless conformally coupled scalar field and a…

General Relativity and Quantum Cosmology · Physics 2017-12-29 M. V. Takook

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

We consider the evolution of a bulk scalar field in anti-de Sitter (AdS) spacetime linearly coupled to a scalar field on a de Sitter boundary brane. We present results of a spectral analysis of the system, and find that the model can…

High Energy Physics - Theory · Physics 2008-11-26 Antonio Cardoso , Kazuya Koyama , Andrew Mennim , Sanjeev S. Seahra , David Wands

Constructing an explicit compactification yielding a metastable de Sitter (dS) vacuum in a UV consistent string theory is an incredibly difficult open problem. Motivated by this issue, as well as the conjecture that all non-supersymmetric…

High Energy Physics - Theory · Physics 2019-10-16 Souvik Banerjee , Ulf Danielsson , Giuseppe Dibitetto , Suvendu Giri , Marjorie Schillo

A dynamical resolution to the cosmological constant fine-tuning problem has been previously put forward, based on a scalar-tensor gravitational theory possessing de Sitter attractor solutions characterized by a small Hubble expansion rate,…

General Relativity and Quantum Cosmology · Physics 2021-08-19 Oleg Evnin , Victor Massart , Kevin Nguyen

We derive the asymptotic solutions for vacuum spacetimes with non-zero cosmological constant $\Lambda$, using the Newman-Penrose formalism. Our approach is based exclusively on the physical spacetime, i.e. we do not explicitly deal with…

General Relativity and Quantum Cosmology · Physics 2016-11-09 Vee-Liem Saw

A nonlocal gravity model, which does not assume the existence of a new dimensional parameter in the action and includes a function $f(\Box^{-1} R)$, with $\Box$ the d'Alembertian operator, is considered. The model is proven to have de…

Cosmology and Nongalactic Astrophysics · Physics 2012-02-08 E. Elizalde , E. O. Pozdeeva , S. Yu. Vernov

In theories of gravity with a positive cosmological constant, we consider product solutions with flux, of the form (A)dS_p x S^q. Most solutions are shown to be perturbatively unstable, including all uncharged dS_p x S^q spacetimes. For…

High Energy Physics - Theory · Physics 2022-10-12 Raphael Bousso , Oliver DeWolfe , Robert C. Myers

Dynamical systems methods are used to investigate cosmological model with non-minimally coupled scalar field. Existence of an asymptotically unstable de Sitter state distinguishes values of the non-minimal coupling constant parameter…

General Relativity and Quantum Cosmology · Physics 2017-05-31 Orest Hrycyna

We investigate the structure and stability of the thermal equilibrium states of a spherically symmetric self-gravitating system in a $D$-dimensional asymptotically Anti-de Sitter(AdS) spacetime. The system satisfies the Einstein-Vlasov…

General Relativity and Quantum Cosmology · Physics 2022-09-07 Hiroki Asami , Chul-Moon Yoo

Nonlinear classical Hamiltonian lattices exhibit generic solutions in the form of discrete breathers. These solutions are time-periodic and (typically exponentially) localized in space. The lattices exhibit discrete translational symmetry.…

patt-sol · Physics 2015-06-26 S. Flach , C. R. Willis