Seminars & Lectures
* TITLE | Geometric characterization of purely in- or out-going modes of generic gravitational radiation at a finite distance | ||||||
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* DATE / TIME | 2006-06-10, 3:00 p.m. | ||||||
* PLACE | APCTP Seoul Branch Office | ||||||
* ABSTRACT | |||||||
By studying the canonical expression of quasilocal energy-flux that follows from the Einstein's equations, I present the geometric conditions for purely in- or out-going gravitational radiation of the most general type. These conditions are the vanishing of the transverse traceless parts of the second fundamental forms of a 2-surface relative to the in- or out-going null vector fields normal to the surface. I also discuss the quasilocal momentum conservation equation, which I find has a remarkably similar structure with the Navier-Stokes equation for a viscous fluid. The deviation from the affinity of the parameter of the in-going null geodesics turns out to play the role of the coefficient of viscosity, whereas the scalar curvature of a 2-surface is like a local pressure. Thus, the Hamiltonian, which has the physical interpretation as the momentum-flux, and the Hamilton's equations of motion thereof describe a generically dissipat ive system of the Einstein's gravitation. |