scholarly journals Hamiltonian description of radiation phenomena: Trautman-bondi energy and corner conditions

2009 ◽  
Vol 64 (1-2) ◽  
pp. 223-240 ◽  
Author(s):  
Witold Chmielowiec ◽  
Jerzy Kijowski
Keyword(s):  
Hamiltonian Description ◽  
Bondi Energy ◽  
Corner Conditions

Hamiltonian description of barotropic Rossby waves on a sphere and in a paraboloid

1996 ◽  
Vol 223 (1-2) ◽  
pp. 96-104
Author(s):  
A.A. Kurkin ◽  
Yu.A. Stepanyants
Keyword(s):  
Rossby Waves ◽  
Hamiltonian Description

scholarly journals Gravitational corner conditions in holography

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Gary T. Horowitz ◽  
Diandian Wang
Keyword(s):  
Corner Conditions

GAUGE INVARIANCE AND CONSTRAINTS: OPEN GAUGE ALGEBRAS

1992 ◽  
Vol 07 (22) ◽  
pp. 5549-5561 ◽  
Author(s):  
KH. S. NIROV ◽  
P.N. PYATOV ◽  
A.V. RAZUMOV
Keyword(s):  
Wide Class ◽  
Gauge Invariance ◽  
Poisson Brackets ◽  
Hamiltonian Description ◽  
Gauge Invariant

For a wide class of gauge-invariant systems with open gauge algebras the Hamiltonian description is constructed and the Poisson brackets of the constraints are calculated. It is shown that in the case under consideration there arise only first class constraints.

scholarly journals Static Bondi energy in the teleparallel equivalent of general relativity

1999 ◽  
Vol 40 (3) ◽  
pp. 1490-1503 ◽  
Author(s):  
J. W. Maluf ◽  
J. F. da Rocha-Neto
Keyword(s):  
General Relativity ◽  
Bondi Energy

scholarly journals POLYHOMOGENEOUS SOLUTIONS OF NONLINEAR WAVE EQUATIONS WITHOUT CORNER CONDITIONS

2006 ◽  
Vol 03 (01) ◽  
pp. 81-141 ◽  
Author(s):  
PIOTR T. CHRUŚCIEL ◽  
SZYMON ŁȨSKI
Keyword(s):  
Initial Data ◽  
Wave Equations ◽  
Space Time ◽  
Einstein Equations ◽  
Nonlinear Wave Equations ◽  
Linear Wave ◽  
Cauchy Problems ◽  
Time Dimension ◽  
Wave Maps ◽  
Corner Conditions

The study of Einstein equations leads naturally to Cauchy problems with initial data on hypersurfaces which closely resemble hyperboloids in Minkowski space-time, and with initial data with polyhomogeneous asymptotics, that is, with asymptotic expansions in terms of powers of ln r and inverse powers of r. Such expansions also arise in the conformal method for analysing wave equations in odd space-time dimension. In recent work it has been shown that for non-linear wave equations, or for wave maps, polyhomogeneous initial data lead to solutions which are also polyhomogeneous provided that an infinite hierarchy of corner conditions holds. In this paper we show that the result is true regardless of corner conditions.

scholarly journals Complete Hamiltonian Description of Wave-Like Features in Classical and Quantum Physics

2009 ◽  
Vol 39 (3) ◽  
pp. 256-272 ◽  
Author(s):  
A. Orefice ◽  
R. Giovanelli ◽  
D. Ditto
Keyword(s):  
Quantum Physics ◽  
Hamiltonian Description

scholarly journals About the non-standard viewpoint on the dynamics of closed vortex filament

2018 ◽  
Vol 32 (33) ◽  
pp. 1850410 ◽  
Author(s):  
S. V. Talalov
Keyword(s):  
Phase Space ◽  
Effective Mass ◽  
Explicit Formula ◽  
Vortex Filament ◽  
Hamiltonian Description ◽  
Suggested Approach ◽  
Galilei Group ◽  
Filament Dynamics

In this paper, we construct the Hamiltonian description of the closed vortex filament dynamics in terms of non-standard variables, phase space and constraints. The suggested approach makes obvious interpretation of the considered system as a structured particle that possesses certain external and internal degrees of the freedom. The constructed theory is invariant under the transformation of Galilei group. The appearance of this group allows for a new viewpoint on the energy of a closed vortex filament with zero thickness. The explicit formula for the effective mass of the structured particle “closed vortex filament” is suggested.

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