Joel2: Created page with "FORCETOC =Rotationally Flattened White Dwarfs= {| class="HNM82" style="float:left; margin-right: 20px; border-style: solid; border-width: 3px border-color: black" |- ! style="height: 150px; width: 150px; background-color:white;" |Example
Equilibria |}

==Example Equilibrium Co..."

2024-06-28T17:35:49Z

Created page with "__FORCETOC__  =Rotationally Flattened White Dwarfs= {| class="HNM82" style="float:left; margin-right: 20px; border-style: solid; border-width: 3px border-color: black" |- ! style="height: 150px; width: 150px; background-color:white;" |Example Equilibria |} ==Example Equilibrium Co..."

New page

__FORCETOC__

=Rotationally Flattened White Dwarfs=
{| class="HNM82" style="float:left; margin-right: 20px; border-style: solid; border-width: 3px border-color: black"
|-
! style="height: 150px; width: 150px; background-color:white;" |[[H_BookTiledMenu#Spheroidal_.26_Spheroidal-Like|Example Equilibria]]
|}
  
  
  
  
  
  
  

==Example Equilibrium Configurations==
===Uniform Rotation===

* [https://ui.adsabs.harvard.edu/abs/1964ApJ...140..552J/abstract R. A. James (1964)], 140, 552
<table border="0" align="center" width="100%" cellpadding="1"><tr>
<td align="center" width="5%"> </td><td align="left">
Structures have been determined for axially symmetric [uniformly] rotating gas masses, in the polytropic and white-dwarf cases … Physical parameters for the rotating configurations were obtained for values of n < 3, and for a range of white-dwarf configurations. The existence of forms of bifurcation of the axially symmetric series of equilibrium forms was also investigated. The white-dwarf series proved to lack such points of bifurcation, but they were found on the polytropic series for n < 0.808.
</td></tr></table>

===Differential Rotation===

* [https://ui.adsabs.harvard.edu/abs/1966PhRvL..17..816O/abstract J. P. Ostriker, P. Bodenheimer & D. Lynden-Bell (1966)], Phys. Rev. Letters, 17, 816: ''Equilibrium Models of Differentially Rotating Zero-Temperature Stars''
<table border="0" align="center" width="100%" cellpadding="1"><tr>
<td align="center" width="5%"> </td><td align="left">
… work by Roxburgh (1965, Z. Astrophys., 62, 134), Anand (1965, Proc. Natl. Acad. Sci. U.S., 54, 23), and James (1964, ApJ, 140, 552) shows that the [Chandrasekhar (1931, ApJ, 74, 81)] mass limit <math>~M_3</math> is increased by only a few percent when uniform rotation is included in the models, …

In this Letter we demonstrate that white-dwarf models with masses considerably greater than <math>~M_3</math> are possible if differential rotation is allowed … models are based on the physical assumption of an axially symmetric, completely degenerate, self-gravitating fluid, in which the effects of viscosity, magnetic fields, meridional circulation, and relativistic terms in the hydrodynamical equations have been neglected.
</td></tr></table>
* [https://ui.adsabs.harvard.edu/abs/1968ApJ...154..613T/abstract J. -L. Tassoul & J. P. Ostriker (1968)], ApJ, 154, 613: ''On the Oscillations and Stability of Rotating Stellar Models. I. Mathematical Techniques''
* [https://ui.adsabs.harvard.edu/abs/1969ApJ...155..987O/abstract J. P. Ostriker & J. -L. Tassoul (1969)], ApJ, 155, 987: ''On the Oscillations and Stability of Rotating Stellar Models. II. Rapidly Rotating White Dwarfs''
* [https://ui.adsabs.harvard.edu/abs/1975ApJ...195..483D/abstract R. H. Durisen (1975)], ApJ, 195, 483: ''Viscous effects in rapidly rotating stars with application to white-dwarf models. III. Further numerical results''
* [https://ui.adsabs.harvard.edu/abs/1975ApJ...199..179D/abstract R. H. Durisen (1975)], ApJ, 199, 179: ''Upper mass limits for stable rotating white dwarfs''
* [https://ui.adsabs.harvard.edu/abs/1981ApJ...243..612D/abstract R. H. Durisen & J. N. Imamura (1981)], ApJ, 243, 612

=Binary White Dwarfs=
* [https://ui.adsabs.harvard.edu/abs/1986ApJ...308..161H/abstract I. Hachisu, Y. Eriguchi & K. Nomoto (1986a)], ApJ, 308, 161: ''Fate of Merging Double White Dwarfs''
* [https://ui.adsabs.harvard.edu/abs/1986ApJ...311..214H/abstract I. Hachisu, Y. Eriguchi & K. Nomoto (1986b)], ApJ, 311, 214: ''Fate of Merging Double White Dwarfs. II — Numerical Method''
* [https://ui.adsabs.harvard.edu/abs/2009ApJS..184..248E/abstract W. Even & J. E. Tohline (2009)], ApJSuppl., 184, 248: ''Constructing Synchronously Rotating Double White Dwarf Binaries''

=See Also=
* Our discussion of [[Apps/RotatingPolytropes|Rotating Polytropes: Example Equilibria]]
* [[ThreeDimensionalConfigurations/BinaryFission|Fission Theory of Binary Star Formation]]

{{ SGFfooter }}

Apps/RotatingWhiteDwarfs - Revision history