Erratum: ``Hydrodynamic Simulations of Tilted Thick-Disk Accretion onto a Kerr Black Hole'' (ApJ, 623, 347 [2005])

Details Erratum: ``Hydrodynamic Simulations of Tilted Thick-Disk Accretion onto a Kerr Black Hole'' (ApJ, 623, 347 [2005]) Erratum: ``Hydrodynamic Simulations of Tilted Thick-Disk Accretion onto a Kerr Black Hole'' (ApJ, 623, 347 [2005])

Aug 2007

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007apj...665.1507f&link_type=abstract

The Astrophysical Journal, Volume 665, Issue 2, pp. 1507-1507.

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The correct form of equation (6) for the Kerr line element in tilted (t,r,ϑ,ϕ) coordinates should beds2=-(1-2Mr/(ϱ2))dt2+4Mr/(ϱ2)dtdr-(4Marsin2θ)/(ϱ2)P1dtdϑ-(4Marsin2θ)/(ϱ2)P2dtdϕ+(1+2Mr/(ϱ2))dr2-2asin2θ(1+2Mr/(ϱ2))P1drdϑ-2asin2θ(1+2Mr/(ϱ2))P2drdϕ+(ϱ2T21+AP21)dϑ2+2(ϱ2T1T2+AP1P2)dϑdϕ+(ϱ2T22+AP22)dϕ2. (1)This differs from the original form in a sign change inside the parenthesis in the sixth and seventh terms of the equation. In other words, whereas the metric given in our original paper had a factor (1-2Mr/ϱ2) in the grϑ and grϕ terms, the correct factor is (1+2Mr/ϱ2).
The results and conclusions of the paper are unaffected by this change.

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