Background-Independent Gravitational Waves

Details Background-Independent Gravitational Waves Background-Independent Gravitational Waves

2003-02-20

arxiv.org/abs/gr-qc/0302085v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

RevTex4, 4 pages, 4 figures

Scientific paper

A Hamiltonian linearization of the rest-frame instant form of tetrad gravity (gr-qc/0302084), where the Hamiltonian is the weak ADM energy ${\hat E}_{ADM}$, in a completely fixed (non harmonic) 3-orthogonal Hamiltonian gauge is defined. For the first time this allows to find an explicit solution of all the Hamiltonian constraints and an associated linearized solution of Einstein's equations. It corresponds to background-independent gravitational waves in a well defined post-Minkowskian Christodoulou-Klainermann space-time.

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