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Related papers: Stability of Flat Space to Singular Instantons

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The Standard Model (SM) possesses an instability at high scales that would be catastrophic during or just after inflation, and yet no new physics has been seen to alter this. Furthermore, modern developments in quantum gravity suggest that…

High Energy Physics - Phenomenology · Physics 2020-12-15 Mark P. Hertzberg , Mudit Jain

We find a class of solutions for a homogeneous and isotropic universe in which the initially expanding universe stops expanding, experiences contraction, and then expands again (the "bounce"), in the framework of Einstein gravity with a…

General Relativity and Quantum Cosmology · Physics 2019-06-26 Hiroki Matsui , Fuminobu Takahashi , Takahiro Terada

A conformally invariant model of two interacting massless particles in Minkowski space was proposed by Casalbuoni and Gomis [1]. We generalize this model to the case of de Sitter space from the perspective of geodesic distance, in such a…

High Energy Physics - Theory · Physics 2021-07-20 Naohiro Kanda , Satoshi Okano

Seiberg and Witten have shown that the non-perturbative stability of string physics on conformally compactified spacetimes is related to the behaviour of the areas and volumes of certain branes as the brane is moved towards infinity. If, as…

High Energy Physics - Theory · Physics 2010-12-23 Brett McInnes

We study chaotic inflation driven by a real, massive, homogeneous minimally coupled scalar field in a flat Robertson-Walker spacetime. The semiclassical limit for gravity is considered, whereas the scalar field is treated quantum…

General Relativity and Quantum Cosmology · Physics 2008-11-26 F. Finelli , G. P. Vacca , G. Venturi

We Study instanton solutions in general relativity with a scalar field. The metric ansatz we use is composed of a particular warp product of general Einstein metrics, such as those found in a number of cosmological settings, including…

High Energy Physics - Theory · Physics 2009-10-31 E. J. Copeland , J. A. Gray , P. M. Saffin

The possibility of the resilience of the beginning of inflation under unfavorable conditions is examined by considering the initial state of the inflaton field to be in the form of a relativistic gas with some of its properties in close…

High Energy Physics - Theory · Physics 2023-04-05 Lasha Berezhiani , Mark Trodden

This paper proves the stability, with respect to the evolution determined by the vacuum Einstein equations, of the Cartesian product of high-dimensional Minkowski space with a compact, Ricci-flat Riemannian manifold that admits a spin…

Analysis of PDEs · Mathematics 2023-11-22 Lars Andersson , Pieter Blue , Zoe Wyatt , Shing-Tung Yau

We propose a new class of natural inflation models based on a hidden scale invariance. In a very generic Wilsonian effective field theory with an arbitrary number of scalar fields, which exhibits scale invariance via the dilaton, the…

General Relativity and Quantum Cosmology · Physics 2016-04-20 Neil D. Barrie , Archil Kobakhidze , Shelley Liang

In this paper we provide approximate analytical analysis of stability of nonsingular inflationary chaotic-type cosmological models. Initial conditions for nonsingular solutions at the bounce correspond to dominance of potential part of the…

Astrophysics · Physics 2009-11-10 G. V. Vereshchagin

In a previous paper, two of the authors presented a "regulated" picture of eternal inflation. This picture both suggested and drew support from a conjectured discontinuity in the amplitude for tunneling from positive to negative vacuum…

High Energy Physics - Theory · Physics 2009-11-11 A. Aguirre , T. Banks , M. Johnson

In this paper we demonstrate that solitons of a simple real scalar field model that are {\it static and linearly stable} do exist when considered in a (3+1)-dimensional, spatially compact space-time background, the static Einstein universe,…

High Energy Physics - Theory · Physics 2020-04-08 Betti Hartmann , Gabriel Luchini , Clisthenis P. Constantinidis , Carlos F. S. Pereira

We investigate the recent suggestion that a Minkowski vacuum is either absolutely stable, or it has a divergent decay rate and thus fails to have a locally Minkowski description. The divergence comes from boost integration over momenta of…

High Energy Physics - Theory · Physics 2017-10-26 Jaume Garriga , Benjamin Shlaer , Alexander Vilenkin

An extension of the Standard Model with three right-handed neutrinos and a simple invisible axion model can account for all experimentally confirmed signals of new physics (neutrino oscillations, dark matter and baryon asymmetry) in…

High Energy Physics - Phenomenology · Physics 2019-02-06 Alberto Salvio

We propose a self-consistent scenario of new inflation in supergravity. Chaotic inflation first takes place around the Planck scale, which solves the longevity problem, namely, why the universe can live much beyond the Planck time, and also…

High Energy Physics - Phenomenology · Physics 2009-10-31 Masahide Yamaguchi , Jun'ichi Yokoyama

We consider a universe with a bulk viscous cosmic fluid, in a flat Friedmann-Lemaitre-Robertson-Walker geometry. We derive the conditions for the existence of inflation, and those which at the same time prevent the occurrence of…

General Relativity and Quantum Cosmology · Physics 2017-04-05 I. Brevik , E. Elizalde , V. V. Obukhov , A. V. Timoshkin

We propose a simple, well-motivated and robust alternative to a metastable de Sitter vacuum in string theory, consistent with current observations of dark energy and naturally satisfying conjectured swampland constraints. Inflation ends in…

High Energy Physics - Theory · Physics 2019-01-23 Yessenia Olguin-Trejo , Susha L. Parameswaran , Gianmassimo Tasinato , Ivonne Zavala

Existence and stability analysis of the Kantowski-Sachs type inflationary universe in a higher derivative scalar-tensor gravity theory is studied in details. Isotropic de Sitter background solution is shown to be stable against any…

High Energy Physics - Theory · Physics 2007-05-23 W. F. Kao

The Higgs field is an attractive candidate for the inflaton because it is an observationally confirmed fundamental scalar field. Importantly, it can be modeled by the most general renormalizable scalar potential. However, if the classical…

Cosmology and Nongalactic Astrophysics · Physics 2021-03-29 Martin Bojowald , Suddhasattwa Brahma , Sean Crowe , Ding Ding , Joseph McCracken

In this paper, we study the singularities of locally flat systems, motivated by the solution, if it exists, of the global motion planning problem for such systems, in the spirit of \cite{CE_14}. More precisely, flat outputs may be only…

Optimization and Control · Mathematics 2018-05-16 Y. J. Kaminski , J. Levine , F. Ollivier