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A T6 orbifold compactification is discussed from the somewhat unconventional perspective as the large radius limit of a Landau-Ginzburg model. The features of the model are in principle familiar, but the way they enter here is different…

High Energy Physics - Theory · Physics 2009-02-12 Harun Omer

Oscillating moduli fields can support a cosmological scaling solution in the presence of a perfect fluid when the scalar field potential satisfies appropriate conditions. We examine when such conditions arise in higher-dimensional,…

High Energy Physics - Theory · Physics 2008-11-26 James E. Lidsey , Karim A. Malik

We revisit AdS_4 heterotic compactifications on nearly K\"ahler manifolds in the presence of H-flux and certain fermion condensates. Unlike previous studies, we do not assume the vanishing of the supersymmetry variations. Instead we…

High Energy Physics - Theory · Physics 2015-06-04 Athanasios Chatzistavrakidis , Olaf Lechtenfeld , Alexander D. Popov

The dynamics of the Einstein-Vlasov equations for a class of cosmological models with four Killing vectors is discussed in the case of massive particles. It is shown that in all models analysed the solutions with massive particles are…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Alan D. Rendall , Claes Uggla

To analyze linear field equations on a locally homogeneous spacetime by means of separation of variables, it is necessary to set up appropriate harmonics according to its symmetry group. In this paper, the harmonics are presented for a…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Masayuki Tanimoto

We develop a general compactification framework to facilitate analysis of nonlinear nonautonomous ODEs where nonautonomous terms decay asymptotically. The strategy is to compactify the problem: the phase space is augmented with a bounded…

Dynamical Systems · Mathematics 2021-07-07 Sebastian Wieczorek , Chun Xie , Chris K. R. T. Jones

We prove that a general class of nonlinear, non-autonomous ODEs in Fr\'echet spaces are close to ODEs in a specific normal form, where closeness means that solutions of the normal form ODE satisfy the original ODE up to a residual that…

Analysis of PDEs · Mathematics 2019-06-12 Peter Hochs , A. J. Roberts

We consider the Bianchi I geometry coupled to several species of comoving barotropic perfect fluids with a linear equation of state in the context of general relativity. The solution of the dynamics can be reduced to a quadrature, which can…

General Relativity and Quantum Cosmology · Physics 2024-10-29 David Brizuela , Sara F. Uria

We derive spherically symmetric solutions of the classical \lambda-R model, a minimal, anisotropic modification of general relativity with a preferred foliation and two local degrees of freedom. Starting from a 3 + 1 decomposition of the…

General Relativity and Quantum Cosmology · Physics 2017-08-30 Renate Loll , Luis Pires

We discuss the stabilization of the compact dimension for a class of five-dimensional orbifold supergravity models. Supersymmetry is broken by the superpotential on a boundary. Classically, the size $L$ of the fifth dimension is…

High Energy Physics - Phenomenology · Physics 2009-11-18 Wilfried Buchmuller , Jan Moller , Jonas Schmidt

Cosmologies of the lower Bianchi types, i.e. except those of type VIII or IX, admit a two-dimensional Abelian subgroup of the isometry group, the $G_2$. In orthogonal perfect fluid cosmologies of all lower Bianchi types except for type…

General Relativity and Quantum Cosmology · Physics 2023-11-14 Hans Oude Groeniger

We numerically investigate the solutions to the effective equations of the Bianchi II model within the "improved" Loop Quantum Cosmology (LQC) dynamics. The matter source is a massless scalar field. We perform a systematic study of the…

General Relativity and Quantum Cosmology · Physics 2012-10-08 Alejandro Corichi , Edison Montoya

Methods and properties regarding the linear perturbations are discussed for some spatially closed (vacuum) solutions of Einstein's equation. The main focus is on two kinds of spatially locally homogeneous solution; one is the Bianchi III…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Masayuki Tanimoto

Continuing the analysis of [arXiv:1003.4089[hep-th]], we classify all locally AdS3 stationary axi-symmetric unorientable solutions to AdS3 Einstein gravity and show that they are obtained by applying certain orientifold projection on AdS3,…

High Energy Physics - Theory · Physics 2011-01-17 F. Loran , M. M. Sheikh-Jabbari

We construct type IIA orientifolds on T6/(Z2 x Z2) which admit non factorisable lattices. We describe a method to deal with this kind of configurations and discuss how the compactification lattice affects the tadpole cancellation…

High Energy Physics - Theory · Physics 2010-02-03 Stefan Forste , Cristina Timirgaziu , Ivonne Zavala

Gompf's end-sum techniques are used to establish the existence of an infinity of non-diffeomorphic manifolds, all having the same trivial ${\bf R^4}$ topology, but for which the exotic differentiable structure is confined to a region which…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Carl H. Brans

We find a new regular solution of six-dimensional Einstein's equations with a positive cosmological constant. It has the same isometry group as the (deformed) conifold geometry, and the superpotential approach is used to solve the equations…

High Energy Physics - Theory · Physics 2015-09-02 Stanislav Kuperstein

We demonstrate that M-theory compactifications on 7-manifolds of G_2 holonomy, which yield 4d N=1 supersymmetric systems, often admit at special loci in their moduli space a description as type IIA orientifolds. In this way, we are able to…

High Energy Physics - Theory · Physics 2010-05-28 Shamit Kachru , John McGreevy

In this paper, the global well-posedness and stability of classical solutions to the multidimensional hydrodynamic model for semiconductors on the framework of Besov space are considered. We weaken the regularity requirement of the initial…

Analysis of PDEs · Mathematics 2009-05-10 Daoyuan Fang , Jiang Xu , Ting Zhang

We obtain new supersymmetric flux vacua of type II supergravities on four-dimensional Minkowski times six-dimensional solvmanifolds. The orientifold O4, O5, O6, O7, or O8-planes and D-branes are localized. All vacua are in addition not…

High Energy Physics - Theory · Physics 2016-03-23 David Andriot