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Table 1 Elements of the metric data-structure

From: The black hole accretion code

Symbol

Identifier

Index list

\(g_{\mu\nu}\)

m%g(mu,nu)

m%nnonzero, m%nonzero(inonzero)

α

m%alpha

-

\(\beta^{i}\)

m%beta(i)

m%nnonzeroBeta, m%nonzeroBeta(inonzero)

\(\sqrt{\gamma}\)

m%sqrtgamma

-

\(\gamma^{ij}\)

m%gammainv(i,j)

-

\(\beta_{i}\)

m%betaD(i)

-

\(\partial_{k}\gamma_{ij}\)

m%dgdk(i,j,k)

m%nnonzeroDgDk, m%nonzeroDgDk(inonzero)

\(\partial_{j}\beta^{i}\)

m%DbetaiDj(i,j)

m%nnonzeroDbetaiDj, m%nonzeroDbetaiDj(inonzero)

\(\partial_{j}\alpha\)

m%DalphaDj(j)

m%nnonzeroDalphaDj, m%nonzeroDalphaDj(inonzero)

0

m%zero

-