Results 1 to 10 of about 91,410 (58)

Space-time defects :Domain walls and torsion [PDF]

, 1998
The theory of distributions in non-Riemannian spaces is used to obtain exact static thin domain wall solutions of Einstein-Cartan equations of gravity.
L. C. Garcia de Andrade, Trautman A.
core   +3 more sources

A New delta N Formalism for Multi-Component Inflation [PDF]

, 2005
The delta N formula that relates the final curvature perturbation on comoving slices to the inflaton perturbation on flat slices after horizon crossing is a powerful and intuitive tool to compute the curvature perturbation spectrum from inflation ...
, Choe J, Ewan D Stewart, Hyun-Chul Lee, Joy M, Kodama H, Misao Sasaki, Sasaki M Stewart E D Tanaka T Yokoyama S, Shuichiro Yokoyama, Starobinsky A A, Takahiro Tanaka, Wald R M   +11 more
core   +1 more source

Large-scale Perturbations from the Waterfall Field in Hybrid Inflation [PDF]

, 2010
We estimate large-scale curvature perturbations from isocurvature fluctuations in the waterfall field during hybrid inflation, in addition to the usual inflaton field perturbations.
A. Mazumdar, A.A. Abolhasani, A.A. Starobinsky, A.A. Starobinsky, A.D. Linde, D. Mulryne, D.H. Lyth, D.H. Lyth, David Wands, J.-O. Gong, José Fonseca, K. Enqvist, L.P. Levasseur, Misao Sasaki   +13 more
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The curved kinetic boundary layer of active matter [PDF]

, 2017
The finite reorient-time of swimmers leads to a finite run length $\ell$ and the kinetic accumulation boundary layer on the microscopic length scale $\delta$ on a non-penetrating wall.
Brady, John F., Yan, Wen
core   +2 more sources

Quantitative oscillation estimates for almost-umbilical closed hypersurfaces in Euclidean space [PDF]

, 2014
We prove $\epsilon$-closeness of hypersurfaces to a sphere in Euclidean space under the assumption that the traceless second fundamental form is $\delta$-small compared to the mean curvature.
Scheuer, Julian
core   +4 more sources

Isometric Immersions via Compensated Compactness for Slowly Decaying Negative Gauss Curvature and Rough Data

, 2015
In this paper the method of compensated compactness is applied to the problem of isometric immersion of a two dimensional Riemannian manifold with negative Gauss curvature into three dimensional Euclidean space.
Christoforou, Cleopatra, Slemrod, Marshall   +1 more
core   +1 more source

Weakly convex biharmonic hypersurfaces in nonpositive curvature space forms are minimal

, 2013
A submanifold $M^m$ of a Euclidean space $R^{m+p}$ is said to have harmonic mean curvature vector field if $\Delta \vec{H}=0$, where $\vec{H}$ is the mean curvature vector field of $M\hookrightarrow R^{m+p}$ and $\Delta$ is the rough Laplacian on $M ...
Luo, Yong
core   +1 more source

Cosmological Perturbations with Multiple Fluids and Fields [PDF]

, 2001
We consider the evolution of perturbed cosmological spacetime with multiple fluids and fields in Einstein gravity. Equations are presented in gauge-ready forms, and are presented in various forms using the curvature (\Phi or \phi_\chi) and isocurvature ...
Bardeen J M, Bartolo N, Bartolo N, Chibisov G V, Field G B, Field G B, Groth E J, Guyot M, Hamazaki T, Hwang J, Hwang J, Hwang J, Hyerim Noh, Jai-chan Hwang, Kodama H, Kodama H, Kodama H, Lee W, Lifshitz E M, Lukash V N, Lukash V N, Malik K A, Mukhanov V F, Nambu Y, Nariai H, Nibbelink S G, Nibbelink S G, Peebles P J E, Rozgacheva I K, Sasaki M, Starobinsky A A   +30 more
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Luttinger liquids with curvature: Density correlations and Coulomb drag effect

, 2007
We consider the effect of the curvature in fermionic dispersion on the observable properties of Luttinger liquid (LL). We use the bosonization technique where the curvature is irrelevant perturbation, describing the decay of LL bosons (plasmon modes ...
A. O. Gogolin, D. N. Aristov, I. E. Dzyaloshinskii, S. Tomonaga   +3 more
core   +1 more source

Colliding Impulsive Gravitational Waves and a Cosmological Constant [PDF]

, 2015
We present a space--time model of the collision of two homogeneous, plane impulsive gravitational waves (each having a delta function profile) propagating in a vacuum before collision and for which the post collision space--time has constant curvature ...
Barrabès, C., Hogan, P. A.
core   +3 more sources