Numerical Simulations of Gravitational Collapse

Astronomy and Astrophysics – Astrophysics

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Scientific paper

The next few decades will be an exciting era for astrophysics if the ground-based gravitational wave detectors (such as LIGO) and future space-based detectors (such as LISA) work as planned and open up the gravitational wave spectrum of the universe to observers. Numerical simulations of expected sources of gravitational waves, such as binary black hole mergers, will play a crucial role in interpreting and extracting interesting physics from the detector signals. However, despite intense effort by the numerical relativity community over the past decade, no solution yet exists to the binary black hole problem. Part of the reason for this is the complexity of the Einstein field equations, and it is still an open question how to formulate the field equations in a manner amenable to numerical solution for many problems of interest. I will discuss my research effort in addressing some of these issues, including adaptive mesh refinement for coupled elliptic/hyperbolic systems of equations, and efficient visualization of the resulting grid hierarchies. As an application of these techniques I will present some results of critical phenomena in gravitational collapse, which refers to interesting behavior seen at the threshold of black hole formation.

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