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RIGIDITY OF STATIONARY BLACK HOLES WITH SMALL ANGULAR MOMENTUM ON THE HORIZON
RIGIDITY OF STATIONARY BLACK HOLES SMALL ANGULAR MOMENTUM THE HORIZON
2014/4/3
We prove a black hole rigidity result for slowly rotating stationary solutions of the Einstein vacuum equations. More precisely, we prove that the domain of outer communications of a regular stationar...
The Energy-Momentum tensor on low dimensional $\Spinc$ manifolds
Spinc structures Dirac operator eigenvalues Energy-Momentum tensor compact surfaces isometric immersions
2012/4/18
On a compact surface endowed with any $\Spinc$ structure, we give a formula involving the Energy-Momentum tensor in terms of geometric quantities. A new proof of a B\"{a}r-type inequality for the eige...
Momentum Regularity and Stability of the Relativistic Vlasov-Maxwell-Boltzmann System
Momentum Regularity Stability Relativistic Vlasov-Maxwell-Boltzmann System
2011/1/18
In the study of solutions to the relativistic Boltzmann equation,their regularity with respect to the momentum variables has been an outstanding question, even local in time, due to the initially unex...
On invariant Gibbs measures conditioned on mass and momentum
Gibbs measure Schr¨odinger equation Kortweg-de Vries equation
2011/2/21
We construct a Gibbs measure for the nonlinear Schr¨odinger equation (NLS)on the circle, conditioned on prescribed mass and momentum:dμa,b = Z−1 1 {´T |u|2=a} 1 {i ´T uux=b}e±1
p &a...
Energy stable and momentum conserving interface stabilised finite element method for the incompressible Navier-Stokes equations
Finite element method stabilised finite element methods
2011/3/3
An interface stabilised finite element method for the incompressible Navier-Stokes
equations is presented. The method inherits the attractive stabilising mechanism of upwinded discon-tinuous Galerkin...
On electromagnetism and generalized energy-momentum tensor of the electromagnetic field in spaces with Finsler geometry
On electromagnetism generalized energy-momentum tensor electromagnetic field spaces Finsler geometry
2011/1/20
By using variational calculus and exterior derivative formalism, we proposed in [30] and [11] a new geometric approach to electromagnetism in pseudo-Finsler spaces.
Quantization of the free electromagnetic field implies quantization of its angular momentum
electromagnetic field angular momentum
2010/11/23
It is shown that when the gauge-invariant Bohr-Rosenfeld commutators of the free electromagnetic field are applied to the expressions for the linear and angular momentum of the electromagnetic field i...
The Energy-Momentum tensor on $Spin^c$ manifolds
The Energy-Momentum tensor $Spin^c$ manifolds
2010/11/8
On $Spin^c$ manifolds, we study the Energy-Momentum tensor associated with a spinor field. First, we give a spinorial Gauss type formula for oriented hypersurfaces of a $Spin^c$ manifold. Using the no...
Convexity of Momentum Maps: A Topological Analysis
Convexity of Momentum Maps Topological Analysis
2010/11/15
We extend the Local-to-Global-Principle used in the proof of convexity theorems for momentum maps to not necessarily closed maps $f\colon X\ra Y$ whose target space $Y$ carries a convexity structure ...
Momentum conservation in dissipationless reduced-fluid dynamics
Momentum conservation dissipationless reduced-fluid dynamics
2010/12/15
The momentum conservation law for general dissipationless reduced-fluid (e.g., gyrofluid) models is derived by Noether method from a variational principle. The reduced-fluid momentum density and the r...
Expansion and one-range addition theorems for complete orthonormal sets of spinor wave functions and Slater spinor orbitals of arbitrary half-integral spin in position, momentum and four-dimensional spaces
Exponential type spinor orbitals Slater type spinor orbitals Addition theorems
2010/12/9
The analytical relations in position, momentum and four-dimensional spaces are established
for the expansion and one-range addition theorems of relativistic complete orthonormal sets
of exponential ...
A General Local-to-Global Principle for Convexity of Momentum Maps
Convexity space momentum map geodesic manifold Lokal-global-Prinzip
2010/12/6
We extend the Local-to-Global-Principle used in the proof of convexity theorems for momentum maps to not necessarily closed maps whose target space carries a convexity structure which need not be base...