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We consider a massless, minimally coupled scalar with a quartic self-interaction which is released in Bunch-Davies vacuum in locally de Sitter background of an inflating universe. It was shown, in this system, that quantum effects can…

General Relativity and Quantum Cosmology · Physics 2008-11-26 E. O. Kahya , V. K. Onemli

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

The expansion of the Universe is observed to be accelerating, with the simplest solution being a classical cosmological constant. However, this receives contributions from the quantum vacuum, which are predicted to be many orders of…

Cosmology and Nongalactic Astrophysics · Physics 2022-11-04 Arnaz Khan , Andy Taylor

In this work we investigate possible actions for antisymmetric two-tensor field models subject to constraints that force the field to acquire a nonzero vacuum expectation value, thereby spontaneously breaking Lorentz invariance. In order to…

High Energy Physics - Theory · Physics 2024-07-26 Robertus Potting

We observe that the standard homogeneous cosmologies, those of Minkowski, de Sitter, and anti-de Sitter, which form the matrix for the Robertson--Walker scale factor, live naturally as isolated points inside a larger family of conformally…

General Relativity and Quantum Cosmology · Physics 2014-11-19 Jonathan Holland , George Sparling

We study the Horndeski vector-tensor theory that leads to second order equations of motion and contains a non-minimally coupled abelian gauge vector field. This theory is remarkably simple and consists of only 2 terms for the vector field,…

High Energy Physics - Theory · Physics 2013-11-18 Jose Beltrán Jiménez , Ruth Durrer , Lavinia Heisenberg , Mikjel Thorsrud

We consider the nonlinear Klein Gordon Maxwell system on four dimensional Minkowski space-time. For appropriate nonlinearities the system admits soliton solutions which are gauge invariant generalizations of the non-topological solitons…

Mathematical Physics · Physics 2009-08-18 Eamonn Long , David Stuart

We investigate the stability of theories in which Lorentz invariance is spontaneously broken by fixed-norm vector "aether" fields. Models with generic kinetic terms are plagued either by ghosts or by tachyons, and are therefore physically…

High Energy Physics - Theory · Physics 2009-03-24 Sean M. Carroll , Timothy R. Dulaney , Moira I. Gresham , Heywood Tam

The aim of this paper is to study the stability of soliton-like static solutions via non-linear simulations in the context of a special class of massive tensor-multi-scalar-theories of gravity whose target space metric admits Killing…

General Relativity and Quantum Cosmology · Physics 2021-09-22 Riccardo Falcone , Daniela D. Doneva , Kostas D. Kokkotas , Stoytcho S. Yazadjiev

The theory presented in this monograph establishes the first mathematically rigorous result on the global nonlinear stability of self-gravitating matter under small perturbations of an asymptotically flat, spacelike hypersurface of…

General Relativity and Quantum Cosmology · Physics 2017-07-04 Philippe G. LeFloch , Yue Ma

It is suggested that the Minkowski vacuum of quantum field theories of a large number of fields N would be gravitationally unstable due to strong vacuum energy fluctuations unless an N dependent sub-Planckian ultraviolet momentum cutoff is…

High Energy Physics - Theory · Physics 2009-10-31 Ram Brustein , David Eichler , Stefano Foffa , David H. Oaknin

This paper treats nonrelativistic matter and a scalar field $\phi$ with a monotonically decreasing potential minimally coupled to gravity in flat Friedmann-Lema\^{i}tre-Robertson-Walker cosmology. The field equations are reformulated as a…

General Relativity and Quantum Cosmology · Physics 2015-11-11 Artur Alho , Claes Uggla

We propose a class of theories that can limit scalars constructed from the extrinsic curvature. Applied to cosmology, this framework allows us to control not only the Hubble parameter but also anisotropies without the problem of…

General Relativity and Quantum Cosmology · Physics 2020-10-06 Yuki Sakakihara , Daisuke Yoshida , Kazufumi Takahashi , Jerome Quintin

We consider dimensional reductions of M-theory on $\mathbb{T}^{7}/\mathbb{Z}_{2}^{3}$ with the inclusion of arbitrary metric flux and spacetime filling KK monopoles. With these ingredients at hand, we are able to construct a novel family of…

High Energy Physics - Theory · Physics 2019-09-27 Johan Blåbäck , Ulf Danielsson , Giuseppe Dibitetto , Suvendu Giri

Despite the success of Maxwell's electromagnetism in the description of the electromagnetic interactions on small scales, we know very little about the behaviour of electromagnetic fields on cosmological distances. Thus, it has been…

Cosmology and Nongalactic Astrophysics · Physics 2011-12-07 Jose Beltran Jimenez , Antonio L. Maroto

In this paper we prove the nonlinear stability of Minkowski space-time with a translation Killing field. In the presence of such a symmetry, the 3 + 1 vacuum Einstein equations reduce to the 2 + 1 Einstein equations with a scalar field. We…

Analysis of PDEs · Mathematics 2017-10-12 Cécile Huneau

We develop a new approach to building cosmological models, in which small pieces of perturbed Minkowski space are joined together at reflection-symmetric boundaries in order to form a global, dynamical space-time. Each piece of this…

General Relativity and Quantum Cosmology · Physics 2016-04-12 Viraj A. A. Sanghai , Timothy Clifton

I describe a tensor-vector-scalar theory that reconciles the galaxy scale success of modified Newtonian dynamics (MOND) with the cosmological scale evidence for CDM. The theory provides a cosmological basis for MOND in the sense that the…

Astrophysics · Physics 2009-11-10 R. H. Sanders

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

The standard model of elementary particle physics and the theory of general relativity can be extended by the introduction of a vacuum variable which is responsible for the near vanishing of the present cosmological constant (vacuum energy…

High Energy Physics - Theory · Physics 2014-11-20 F. R. Klinkhamer , G. E. Volovik