4–12 Jul 2018
Europe/Athens timezone
Group photo: indico.cern.ch/event/663474/images/19808-ICNFP_2018_Group_Photo.JPG

Hamiltonian Reduction for Einstein's Equations without isometries

10 Jul 2018, 11:00
30m
Room 4

Room 4

Speaker

Prof. Jong Hyuk Yoon (Konkuk University)

Description

I apply the Hamiltonian reduction procedure to spacetimes of 4 dimensions without isometries in the (2+2) formalism and find privileged spacetime coordinates in which the physical Hamiltonian is expressed in terms of the conformal two metric and its conjugate momentum. Physical time is the area element of the spatial cross-section of null hypersurfaces, and the physical radial coordinate is defined by "equipotential" surfaces on a given spacelike hypersurface of constant physical time. The physical Hamiltonian is local and positive in the privileged coordinates. I present the complete set of Hamilton's equations and find that they coincide with the Einstein's equations written in the privileged coordinates. This shows that the Hamiltonian reduction is self-consistent and respects general covariance.

Primary author

Prof. Jong Hyuk Yoon (Konkuk University)

Presentation materials

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