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Note on ingoing coordinates for binary black holes
Kashif Alvi
In a previous paper, a binary black hole four-metric was presented in a post-Newtonian corotating coordinate system valid only up to the holes' apparent horizons. In this paper, I…
First-order symmetrizable hyperbolic formulations of Einstein's equations including lapse and shift as dynamical fields
Kashif Alvi
First-order hyperbolic systems are promising as a basis for numerical integration of Einstein's equations. In previous work, the lapse and shift have typically not been considered…
On the tidally induced gravitational collapse of a particle cluster
Kashif Alvi, Yuk Tung Liu
An important issue in the dynamics of neutron star binaries is whether tidal interaction can cause the individual stars to collapse into black holes during inspiral. To understand…
Energy and angular momentum flow into a black hole in a binary
Kashif Alvi
As a black hole in a binary spirals in gradually from large separation, energy and angular momentum flow not only to infinity but also into or out of the hole. In addition, the hol…
An approximate binary-black-hole metric
Kashif Alvi
An approximate solution to Einstein's equations representing two widely-separated non-rotating black holes in a circular orbit is constructed by matching a post-Newtonian metric to…