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Manifestly gauge invariant theory of the nonlinear cosmological perturbations in the leading order of the gradient expansion
nonlinear cosmological perturbation, gauge invariance, non-Gaussianity PACS number(s):98.80.Cq
2011/9/29
In the full nonlinear cosmological perturbation theory in the leading order of the gradient expansion, all the types of the gauge invariant perturbation variables are defined. The metric junction cond...
An Invariant Theory of Spacelike Surfaces in the Four-dimensional Minkowski Space
Invariant Theory Spacelike Surfaces
2010/11/23
We consider spacelike surfaces in the four-dimensional Minkowski space and introduce geometrically an invariant linear map of Weingarten-type in the tangent plane at any point of the surface under con...
Symmetric quivers, invariant theory, and saturation theorems for the classical groups
Symmetric quivers invariant theory saturation theorems for the classical groups
2010/12/7
Let G denote either a special orthogonal group or a symplectic group defined over the complex
numbers. We prove the following saturation result for G: given dominant weights λ1, . . . , λr
such that...
Static Plane Symmetric Zeldovich Fluid Model in Scale Invariant Theory
Plane Symmetric Gauge Function Zeldovich Fluid Space-time
2010/4/8
Field equations in the presence of a perfect fluid distribution for static plane symmetric metric are obtained in the scale invariant theory of gravitation proposed by Wesson [1]. A static Zeldovich f...