ar X iv : g r - qc / 0 40 31 20 v 1 3 1 M ar 2 00 4 LAGRANGIAN AND HAMILTONIAN FOR THE BONDI - SACHS METRICS
نویسندگان
چکیده
We calculate the Hilbert action for the Bondi-Sachs metrics. It yields the Einstein vacuum equations in a closed form. Following the Dirac approach to constrained systems we investigate the related Hamiltonian formulation.
منابع مشابه
ar X iv : g r - qc / 0 60 31 26 v 1 3 0 M ar 2 00 6 Hamiltonian dynamics of extended objects : Regge - Teitelboim model
We consider the Regge-Teitelboim model for a relativistic extended object embedded in a fixed background Minkowski spacetime, in which the dynamics is determined by an action proportional to the integral of the scalar curvature of the worldvolume spanned by the object in its evolution. In appearance, this action resembles the Einstein-Hilbert action for vacuum General Relativity: the equations ...
متن کاملar X iv : g r - qc / 9 50 80 52 v 1 2 5 A ug 1 99 5 Evolutionary Laws , Initial Conditions , and Gauge Fixing in Constrained Systems
We describe in detail how to eliminate nonphysical degrees of freedom in the Lagrangian and Hamiltonian formulations of a constrained system. Two important and distinct steps in our method are the fixing of ambiguities in the dynamics and the determination of inequivalent initial data. The Lagrangian discussion is novel, and a proof is given that the final number of degrees of freedom in the tw...
متن کاملar X iv : g r - qc / 0 60 80 96 v 2 2 3 A ug 2 00 6 Noether ’ s theorem , the stress - energy tensor and Hamiltonian constraints
Noether's theorem is reviewed with a particular focus on an intermediate step between global and local gauge and coordinate transformations, namely linear transformations. We rederive the well known result that global symmetry leads to charge conservation (Noether's first theorem), and show that linear symmetry allows for the current to be expressed as a four divergence. Local symmetry leads to...
متن کاملar X iv : 0 90 8 . 31 26 v 1 [ he p - th ] 2 1 A ug 2 00 9 A new class of integrable defects
An alternative Lagrangian definition of an integrable defect is provided and analyzed. The new approach is sufficiently broad to allow a description of defects within the Tzitzéica model, which was not possible in previous approaches, and may be generalizable. New, two-parameter, sine-Gordon defects are also described, which have characteristics resembling a pair of ‘fused’ defects of a previou...
متن کاملar X iv : h ep - t h / 97 07 00 4 v 1 1 J ul 1 99 7 hep - th / 9707004 DYNAMICS IN A NONCOMMUTATIVE PHASE SPACE
Dynamics has been generalized to a noncommutative phase space. The noncommuting phase space is taken to be invariant under the quantum group GL q,p (2). The q-deformed differential calculus on the phase space is formulated and using this, both the Hamiltonian and Lagrangian forms of dynamics have been constructed. In contrast to earlier forms of q-dynamics, our formalism has the advantage of pr...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2004