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 کاملThe Area Quantum and Snyder Space
We show that in the Snyder space the area of the disc and of the sphere can be quantized. It is also shown that the area spectrum of the sphere can be related to the Bekenstein conjecture for the area spectrum of a black hole horizon.
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ژورنال
عنوان ژورنال: Physical Review D
سال: 2020
ISSN: 2470-0010,2470-0029
DOI: 10.1103/physrevd.102.046004