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- Initial-boundary value problems for Einstein's field equations

We discuss well-posed initial-boundary value formulations

in general relativity. These formulations allow us to construct solutions of

Einstein's field equations inside a cylindrical region, given suitable initial

and boundary data. We analyze the restrictions on the boundary data that result

from the requirement of constraint propagation and the minimization of spurious

reflections, and choosing harmonic coordinates we show how to cast the problem

into well-posed form. Then, we consider the particular case where the boundary

represents null infinity of an asymptotically flat spacetime. Here, the rôle of

the boundary conditions is to provide adequate regularity and gauge conditions

at infinity.

As an application of our setup we mention ongoing work on

the computation of quasi-stationary scalar field configurations on a

non-rotating supermassive black hole background.

Event Type:

Seminar

Collection/Series:

Scientific Area(s):

Speaker(s):

Event Date:

Thursday, May 23, 2013 - 13:00 to 14:30

Location:

Space Room

©2012 Perimeter Institute for Theoretical Physics