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Bernard Kelly deleted The_BowenYork_soluti.tex
about 10 years ago
Commit id: a7e772fe9ad432fabb09b46e4b415d42d922cdf1
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The Bowen-York solution (\ref{eq:by_general}) with only linear
momentum is given by taking only the ``$P$'' term of
(\ref{eq:by_K_P_S}). This is parametrised by the ADM linear momentum
$P$:
& & \mp \frac{3 a^2}{2 R^4}\left[ P_i \, n_j + P_j \, n_i + (\delta_{i j} - 5 n_i \, n_j) P^k \, n_k\right]
where the conformal factor $\psi$ must satisfy the Hamiltonian
constraint. Gleiser et al \cite{Gleiser:1999hw} have produced a
slow-moving approximate solution for the conformal factor $\psi$, with
two types of inner boundary conditions: inversion symmetric throat
conditions, and puncture conditions. I quote here only the result of
the latter choice, assuming the hole has momentum $P$ in the
positive-$z$ direction:
diff --git a/layout.md b/layout.md
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In_practice_the_boos.tex
subsectionLinearly_M.tex
brace_psi__psi0R.tex
The_BowenYork_soluti.tex