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BLACK HOLE SIMULATION |
| Participants:
Pablo
Laguna, Jinchao
Xu, Pengtao
Sun |
- Numerical evolutions of black holes have
been improved slowly but steadily over the last few years and
now first attempts are being made to extract physical information
from these evolutions. Most notably one wants to predict the gravitational
radiation emitted during black hole coalescence
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- Initial data are the starting point for
any numerical simulation. In the case of numerical relativity,
Einstein's equations constrain our choices of these initial data.
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- The quality of the initial data will be
crucial to the success of the predictions of the gravitational
wave forms. Unphysical gravitational radiation present in the
initial data will contribute to the gravitational waves computed
in an evolution and might overwhelm the true gravitational wave
signature of the physical process under consideration. Therefore
an important question is how to control the gravitational wave
content of initial-data sets, and how to specify astrophysically
relevant initial data with the appropriate gravitational wave
content, for e.g. two black holes orbiting each other.
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| BLACK
HOLE IN 2D |
- Extreme mass ratios binary systems, binaries
involving compact objects such as stellar mass black holes or
neutron stars orbiting super-massive black holes, are considered
to be a primary source of gravitational radiation to be detected
by the space-based interferometer LISA.
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- The numerical modeling of these binary
systems is extremely challenging because the scales involved expand
orders of magnitude. One needs to handle large wavelength scales
comparable to the super-massive black hole and, at the same time,
to resolve the scales in the vicinity of the small compact object
where radiation reaction effects play a crucial role
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- Finite element methods are a natural choice
to achieve this high level of adaptivity. To demonstrate this,
we present results of a toy problem consisting of a point-like
source orbiting a black hole in scalar gravitation.
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Comments and Questions? Please email
xu@math.psu.edu
or
sun@math.psu.edu
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