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* TITLE Geometric characterization of purely in- or out-going modes of generic gravitational radiation at a finite distance
* SPEAKERS
Name Affiliation E-mail
Jong Hyuk Yoon Konkuk Univ sungwon(at)ewha.ac.kr
* HOST(Applicant)
Name Affiliation E-mail
-
* 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.
 
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