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We study ten-dimensional Einstein-Yang-Mills model with the space of extra dimensions being a non-symmetric homogeneous space with the invariant metric parametrized by two scales. Dimensional reduction of the model is carried out and the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Yu. A. Kubyshin , J. I. Perez Cadenas

We explore the paradigm according to which inflation is driven by a four-dimensional strongly coupled dynamics coupled non-minimally to gravity. We start by introducing the general setup, both in the metric and Palatini formulation, for…

High Energy Physics - Phenomenology · Physics 2013-05-30 Fedor Bezrukov , Phongpichit Channuie , Jakob Jark Joergensen , Francesco Sannino

We study a generality of an inflationary scenario by integrating the Einstein equations numerically in a plane-symmetric spacetime. We consider the inhomogeneous spacetimes due to (i) localized gravitational waves with a positive…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Hisa-aki SHINKAI , Kei-ichi MAEDA

We investigate cosmological solutions of eleven dimensional supergravity compactified on a squashed seven manifold. The effective action for the four dimensional theory contains scalar fields describing the size and squashing of the…

High Energy Physics - Theory · Physics 2016-08-25 S. W. Hawking , Harvey S. Reall

Axions play a central role in inflationary model building and other cosmological applications. This is mainly due to their flat potential, which is protected by a global shift symmetry. However, quantum gravity is known to break global…

High Energy Physics - Theory · Physics 2017-03-08 Arthur Hebecker , Patrick Mangat , Stefan Theisen , Lukas T. Witkowski

Using spinorial geometry techniques, we classify the supersymmetric solutions of euclidean ${\cal N}=4$ super Yang-Mills theory. These backgrounds represent generalizations of instantons with nontrivial scalar fields turned on, and satisfy…

High Energy Physics - Theory · Physics 2009-10-20 Stephane Detournay , Dietmar Klemm , Carlo Pedroli

In this paper, we prove a convergence theorem for sequences of Einstein Yang-Mills systems on $U(1) $-bundles over closed $n$-manifolds with some bounds for volumes, diameters, $L^{2}$-norms of bundle curvatures and $L^{\frac{n}{2}}$-norms…

Differential Geometry · Mathematics 2012-01-04 Hongliang Shao

Using numerical solutions of the full Einstein field equations coupled to a scalar inflaton field in 3+1 dimensions, we study the conditions under which a universe that is initially expanding, highly inhomogeneous and dominated by gradient…

High Energy Physics - Theory · Physics 2016-09-07 William E. East , Matthew Kleban , Andrei Linde , Leonardo Senatore

We display some simple cosmological solutions of gravity theories with quadratic Ricci curvature terms added to the Einstein-Hilbert lagrangian which exhibit anisotropic inflation. The Hubble expansion rates are constant and unequal in…

General Relativity and Quantum Cosmology · Physics 2010-04-21 J. D. Barrow , S. Hervik

In abstract Yang-Mills theory the standard instanton construction relies on the Hodge star having real eigenvalues which makes it inapplicable in the Lorentzian case. We show that for the affine connection an instanton-type construction can…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Dmitri Vassiliev

We consider the eternal inflation scenario of the slow-roll/chaotic type with the additional element of an objective collapse of the wave function. The incorporation of this new agent to the traditional inflationary setting might represent…

General Relativity and Quantum Cosmology · Physics 2017-10-27 Gabriel Leon

We construct a classical solution of an Einstein-Yang-Mills system with a fourth order term with respect to the field strength of the Yang-Mills field. The solution provides a spontaneous compactification proposed by Cremmer and Scherk;…

High Energy Physics - Theory · Physics 2008-11-26 Hironobu Kihara , Muneto Nitta

We perform a general analysis of the cosmological viability of Geometric Inflation. We show that the evolution of the universe, from inflation to the present day, can be seen from the addition of an infinite tower of curvature invariants…

General Relativity and Quantum Cosmology · Physics 2021-09-27 Luisa G. Jaime

We consider self-dual Yang-Mills instantons in 4-dimensional Kaehler spaces with one holomorphic isometry and show that they satisfy a generalization of the Bogomol'nyi equation for magnetic monopoles on certain 3-dimensional metrics. We…

High Energy Physics - Theory · Physics 2018-02-07 Samuele Chimento , Tomas Ortin , Alejandro Ruiperez

Instantons and their quantisation in pure Yang-Mills theory formulated in the background of de Sitter spacetime represented by spatially-closed ($k = 1$) Friedmann-Robertson-Walker metric are discussed. As for the classical treatment of the…

High Energy Physics - Theory · Physics 2008-02-03 Hongsu Kim , Sung Ku Kim

The energy-momentum tensor coming from one-parameter effective Yang- Mills theory is here used to describe the matter-energy content of the homogeneous and isotropic Friedmann cosmology in its early stages. The behavior of all solutions is…

General Relativity and Quantum Cosmology · Physics 2010-02-25 Vitorio A. De Lorenci

We extend to multidimensional cosmology Vilenkin's prescription of tunnelling from nothing for the quantum origin of the observable Universe. Our model consists of a $D+4$-dimensional spacetime of topology ${\cal R}\times {\cal S}^3…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Enrico Carugno , Marco Litterio , Franco Occhionero , Giuseppe Pollifrone

We investigate Yang--Mills instanton theory over four dimensional asymptotically locally flat (ALF) geometries, including gravitational instantons of this type, by exploiting the existence of a natural smooth compactification of these…

Differential Geometry · Mathematics 2009-05-20 Gabor Etesi , Marcos Jardim

We present a novel formulation of the instanton equations in 8-dimensional Yang-Mills theory. This formulation reveals these equations as the last member of a series of gauge-theoretical equations associated with the real division algebras,…

High Energy Physics - Theory · Physics 2015-06-26 JM Figueroa-O'Farrill

We review cosmology in non-minimal Yang-Mills/Maxwell theory, in which the Yang-Mills/electromagnetic field couples to a function of the scalar curvature. We show that power-law inflation can be realized due to the non-minimal gravitational…

High Energy Physics - Theory · Physics 2008-11-09 Kazuharu Bamba , Shin'ichi Nojiri