Speaker
Description
The interaction between GWs and EWs is interesting, but it has only been explored in the vacuum case.
Theory for the non-vacuum case does exist, but it has not been implemented numerically.
We extend current initial value boundary problem numerical simulations to include an arbitrary energy-momentum tensor, which is then used to prescribe electromagnetism.
However, adding electromagnetism introduces two new propagating modes associated with the EWs.
To do this, we use the conformal field equations.
They are a reformulation of the Einstein field equations using conformal compactification to include infinity within a finite domain.
The conformal field equations can then be posed as a initial value boundary problem.
To simplify the system, we implement the boundary adapted evolution system for GWs.
This modification adapts the GW evolution to the boundary of the computation domain.
Alongside this, a new boundary adapted gauge is found.
This new system simplifies the boundary data and analysis for the arising initial value boundary problem and removes two propagating modes associated with the GWs.
| Research Area | Gravitational waves: neutron stars and supernovae |
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