Hamiltonian formalism for the Oppenheimer-Snyder model
نویسندگان
چکیده
منابع مشابه
Hamiltonian formalism for the Oppenheimer-Snyder model
An effective action in Hamiltonian form is derived for a self-gravitating sphere of isotropic homogeneous dust. Starting from the Einstein-Hilbert action for barotropic perfect fluids and making use of the symmetry and equation of state of the matter distribution we obtain a family of reduced actions for two canonical variables, namely the radius of the sphere and its ADM energy, the latter bei...
متن کاملGeneral Relativistic Shock Waves that Extend the Oppenheimer-Snyder Model
In earlier work we constructed a class of spherically symmetric, ̄uid dynamical shock waves that satisfy the Einstein equations of general relativity. These shock waves extend the celebrated Oppenheimer-Snyder result to the case of non-zero pressure. Our shock waves are determined by a system of ordinary dierential equations that describe the matching of a FriedmannRobertson-Walker metric (a c...
متن کاملA Smooth Lattice construction of the Oppenheimer-Snyder spacetime
We present test results for the smooth lattice method using an OppenheimerSnyder spacetime. The results are in excellent agreement with theory and numerical results from other authors.
متن کاملHamiltonian formalism for nonlinear waves
Hamiltonian description for nonlinear waves in plasma, hydrodynamics and magnetohydrodynamics is presented. The main attention is paid to the problem of canonical variables introducing. The connection with other approaches of the Hamiltonian structure introducing is presented, in particular, with the help of the Poisson brackets expressed in terms of natural variables. It is shown that the dege...
متن کاملThe Hamiltonian Formalism for Dissipative Mechanical Systems
In this paper show that dissipative mechanical systems can be represented as Hamiltonian formalism. We have defined an expanded Hamiltonian function that leads to a unique conservative system for every phase flow of a dissipative mechanical system. We have demonstrated, whether the class of dissipative mechanical system has an analytical solution or not, it can be represented as an infinite num...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review D
سال: 1998
ISSN: 0556-2821,1089-4918
DOI: 10.1103/physrevd.58.064013