1997
DOI: 10.1086/304956
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Inertia of Heat in Advective Accretion Disks around Kerr Black Holes

Abstract: In the innermost region of the advective accretion disk orbiting a black hole of high spin, the inertia of heat stored in the accreting gas is comparable to that of the gas rest mass itself. Accounting for this effect, we derive additional terms in the disk structure equations, and show that the heat inertia plays a significant role in the global energy conservation and dynamics of accretion in the relativistic advective disks.Comment: 6 pages, Latex, submitted to ApJ

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Cited by 11 publications
(12 citation statements)
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References 8 publications
(14 reference statements)
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“…Another critical density for radial self-gravity, ðsg; rÞ, is 16ðsg; zÞ (Goldreich & Lynden-Bell 1965;see Huré 1998 for a review). The inertia of the heat (Beloborodov, Abramowicz, & Novikov 1997; dashed lines in the second panel) is always much smaller than the gas rest-mass density " in this study (disks around nonrotating BHs): rad a " T T 4 =c 2 ' 10 À11 ð " T T=10 6 KÞ 4 g cm À3 5 " (third panel). Finally, the effective temperature profiles T eff (r) before the relativistic correction (solid lines) are compared with those with the correction (dotted lines; eq.…”
Section: No 1 2003 Super-eddington Accretion Flow Of Bhsmentioning
confidence: 64%
“…Another critical density for radial self-gravity, ðsg; rÞ, is 16ðsg; zÞ (Goldreich & Lynden-Bell 1965;see Huré 1998 for a review). The inertia of the heat (Beloborodov, Abramowicz, & Novikov 1997; dashed lines in the second panel) is always much smaller than the gas rest-mass density " in this study (disks around nonrotating BHs): rad a " T T 4 =c 2 ' 10 À11 ð " T T=10 6 KÞ 4 g cm À3 5 " (third panel). Finally, the effective temperature profiles T eff (r) before the relativistic correction (solid lines) are compared with those with the correction (dotted lines; eq.…”
Section: No 1 2003 Super-eddington Accretion Flow Of Bhsmentioning
confidence: 64%
“…The rapid advection in ADAFs generally has two effects: 1) dissipated orbital energy can not be radiated locally before it is carried inward and 2) the rotation profile is generally no longer Keplerian, although Abramowicz [6] found solutions where the dominant cooling mechanism was advection, even when the angular momentum profile was Keplerian. Fully relativistic solutions of ADAFs have also been found numerically [13,41]. Further discussion of ADAFs is given in the review article by Narayan and McClintock [219].…”
Section: Advection-dominated Accretion Flows (Adafs)mentioning
confidence: 93%
“…The main equations express the conservation laws for barion number, energy, angular momentum, and radial momentum. We include in the equations the inertial mass associated with internal energy accumulated in the flow (Beloborodov, Abramowicz & Novikov 1997).…”
Section: Relativistic Disc Equationsmentioning
confidence: 99%