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- W3100899862 abstract "In the framework of the rest-frame instant form of tetrad gravity, where the Hamiltonian is the weak ADM energy $$hat E_{ADM}$$ , we define a special completely fixed 3-orthogonal Hamiltonian gauge, corresponding to a choice of non-harmonic 4-coordinates, in which the independent degrees of freedom of the gravitational field are described by two pairs of canonically conjugate Dirac observables (DO) $$r_{overline a } (tau ,overrightarrow sigma ),pi overline a (tau ,overrightarrow sigma ),overline a = 1,2$$ . We define a Hamiltonian linearization of the theory, i.e. gravitational waves, without introducing any background 4-metric, by retaining only the linear terms in the DO's in the super-hamiltonian constraint (the Lichnerowicz equation for the conformal factor of the 3-metric) and the quadratic terms in the DO's in $$hat E_{ADM}$$ . We solve all the constraints of the linearized theory: this amounts to work in a well defined post-Minkowskian Christodoulou-Klainermann space-time. The Hamilton equations imply the wave equation for the DO's $$r_{overline a } (tau ,overrightarrow sigma ),$$ , which replace the two polarizations of the TT harmonic gauge, and that linearized Einstein's equations are satisfied. Finally we study the geodesic equation, both for time-like and null geodesics, and the geodesic deviation equation." @default.
- W3100899862 created "2020-11-23" @default.
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- W3100899862 date "2004-05-01" @default.
- W3100899862 modified "2023-10-16" @default.
- W3100899862 title "Review: Hamiltonian Linearization of the Rest-Frame Instant Form of Tetrad Gravity in a Completely Fixed 3-Orthogonal Gauge: A Radiation Gauge for Background-Independent Gravitational Waves in a Post-Minkowskian Einstein Spacetime" @default.
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- W3100899862 doi "https://doi.org/10.1023/b:gerg.0000018089.84710.d6" @default.
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