Evolution of isolated white dwarfs
DOI:
https://doi.org/10.26577/2218-7987-2014-5-2-33-36Keywords:
rotating white dwarfs, equilibrium configurations, angular momentum loss, magnetic dipole braking, constant mass sequence.Abstract
We consider evolution of isolated general relativistic uniformly-rotating white dwarfs which lose angular momentum via magnetic dipole braking. We show for selected constant mass sequences how the main parameters of white dwarfs such as the central density, mean radius and magneticfield change with time by fullling all stability criteria of the general relativistic uniformly-rotating congurations. Namely, we explicitly demonstrate that all isolated white dwarfs by angular momentum loss will be shrinking in order to reach stable equilibrium states.References
1. Shapiro S.L., Teukolsky S.A., Nakamura T. Spin-up of a rapidly rotating star by angular momentum loss // Astrophysical Journal Letters.–
1990. – Vol. 357. – P.17-20.
2. Geroyannis V.S., Papasotiriou P.J. Spin-up and Spin-down of Rotating Magnetic White 36 Evolution of isolated white dwarfs International Journal of mathematics and physics 5, №2, 33 (2014) Dwarfs: A Straightforward Numerical Approach //Astrophysical Journal. – 2000. – Vol. 534. – Issue 1. – P. 359-366.
3. Shapiro S.L., Teukolsky S.A. Black holes, white dwarfs, and neutron stars: The physics of compact objects. – New York: Wiley-Interscience,
1983. – 672 p.
4. Boshkayev K., Rueda J., Ruffini R., Siutsou I. On General Relativistic Uniformly Rotating White Dwarfs // Astrophysical Journal.–2013. –
Vol.762. – Issue 2. – P. 117.
5. Hartle J. B. Slowly Rotating Relativistic Stars. I. Equations of Structure //Astrophysical Journal. – 1967. – Vol. 150. – P. 1005.
6. Rotondo M., Rueda J. A., Ruffini R., Xue S.- S. Relativistic Thomas-Fermi treatment of compressed atoms and compressed nuclear matter cores of stellar dimensions // Physical Review C.–
2011. – Vol. 83. – Issue 4. – P. 045805.
7. Rotondo M., Rueda J.A., Ruffini R., Xue S.- S. Relativistic Feynman-Metropolis-Teller theory for white dwarfs in general relativity // Physical
Review D. – 2011. – Vol. 84. – Issue.8. –P.084007.
8. Chandrasekhar S. The Maximum Mass of Ideal White Dwarfs // Astrophysical Journal.– 1931.–Vol. 74. – 81 p.
9. Salpeter E. E. Energy and Pressure of a Zero- Temperature Plasma // Astrophysical Journal. – 1961. – Vol. 134. – 669 p.
10. Friedman J.L., Ipser J.R., Sorkin R.D. Turning-point method for axisymmetric stability of rotating relativistic stars. // Astrophysical Journal: Part 1. – 1988. – Vol. 325. – P. 722-724.
11. Boshkayev K., Rueda J., Ruffini R., Siutsou I. General Relativistic White Dwarfs and Their Astrophysical Implications // Journal of the
Korean Physical Society. – 2014. – Vol. 65. – Issue 6. – P. 855-860.
12. Boshkayev K. Spin-up and spin-down evolution in general relativistic rotating white dwarfs. // International Journal of Mathematics and
Physics. – 2013. – Vol.4. – № 1. – P. 62-66.
13. Boshkayev K. Lifetime of uniformly
rotating Super-Chandrasekhar mass white dwarfs //
International Journal of mathematics and physics.
–2013. – Vol. 4. – № 2. – P. 59-63.
14. Boshkayev K. Non-rotating and slowly
rotating stars in classical physics // International
Journal of mathematics and physics. – 2014. –
Vol.5. – № 1. – P. 69-80.
15. Boshkayev K., Rueda J.A., Ruffini R. On
the maximum mass of general relativistic uniformly
rotating white dwarfs // International Journal of
Modern Physics E. – 2011. – Vol 20. – Issue 1. –
P.136-140.
16. Boshkayev K., Rueda J.A., Ruffini R. On the maximum mass and minimum period of relativistic uniformly rotating white dwarfs //
International Journal of Modern Physics:
Conference Series. – 2013. – Vol 23. – P. 193-197.
17. Boshkayev K., Izzo L., Rueda, J.A. Ruffini, R. SGR 0418+5729, Swift J1822.3-1606, and 1E 2259+586 as massive, fast-rotating, highly
magnetized white dwarfs // Astronomy & Astrophysics. – 2013. – Vol.555. – P.A151.
18. Renedo I., Althaus L.G., Miller Bertolami M.M., Romero A.D., Corsico A.H., Rohrmann R.D., Garcia-Berro E. New Cooling Sequences for
Old White Dwarfs // Astrophysical Journal. – 2010. – Vol. 717. – P 183-195.
1990. – Vol. 357. – P.17-20.
2. Geroyannis V.S., Papasotiriou P.J. Spin-up and Spin-down of Rotating Magnetic White 36 Evolution of isolated white dwarfs International Journal of mathematics and physics 5, №2, 33 (2014) Dwarfs: A Straightforward Numerical Approach //Astrophysical Journal. – 2000. – Vol. 534. – Issue 1. – P. 359-366.
3. Shapiro S.L., Teukolsky S.A. Black holes, white dwarfs, and neutron stars: The physics of compact objects. – New York: Wiley-Interscience,
1983. – 672 p.
4. Boshkayev K., Rueda J., Ruffini R., Siutsou I. On General Relativistic Uniformly Rotating White Dwarfs // Astrophysical Journal.–2013. –
Vol.762. – Issue 2. – P. 117.
5. Hartle J. B. Slowly Rotating Relativistic Stars. I. Equations of Structure //Astrophysical Journal. – 1967. – Vol. 150. – P. 1005.
6. Rotondo M., Rueda J. A., Ruffini R., Xue S.- S. Relativistic Thomas-Fermi treatment of compressed atoms and compressed nuclear matter cores of stellar dimensions // Physical Review C.–
2011. – Vol. 83. – Issue 4. – P. 045805.
7. Rotondo M., Rueda J.A., Ruffini R., Xue S.- S. Relativistic Feynman-Metropolis-Teller theory for white dwarfs in general relativity // Physical
Review D. – 2011. – Vol. 84. – Issue.8. –P.084007.
8. Chandrasekhar S. The Maximum Mass of Ideal White Dwarfs // Astrophysical Journal.– 1931.–Vol. 74. – 81 p.
9. Salpeter E. E. Energy and Pressure of a Zero- Temperature Plasma // Astrophysical Journal. – 1961. – Vol. 134. – 669 p.
10. Friedman J.L., Ipser J.R., Sorkin R.D. Turning-point method for axisymmetric stability of rotating relativistic stars. // Astrophysical Journal: Part 1. – 1988. – Vol. 325. – P. 722-724.
11. Boshkayev K., Rueda J., Ruffini R., Siutsou I. General Relativistic White Dwarfs and Their Astrophysical Implications // Journal of the
Korean Physical Society. – 2014. – Vol. 65. – Issue 6. – P. 855-860.
12. Boshkayev K. Spin-up and spin-down evolution in general relativistic rotating white dwarfs. // International Journal of Mathematics and
Physics. – 2013. – Vol.4. – № 1. – P. 62-66.
13. Boshkayev K. Lifetime of uniformly
rotating Super-Chandrasekhar mass white dwarfs //
International Journal of mathematics and physics.
–2013. – Vol. 4. – № 2. – P. 59-63.
14. Boshkayev K. Non-rotating and slowly
rotating stars in classical physics // International
Journal of mathematics and physics. – 2014. –
Vol.5. – № 1. – P. 69-80.
15. Boshkayev K., Rueda J.A., Ruffini R. On
the maximum mass of general relativistic uniformly
rotating white dwarfs // International Journal of
Modern Physics E. – 2011. – Vol 20. – Issue 1. –
P.136-140.
16. Boshkayev K., Rueda J.A., Ruffini R. On the maximum mass and minimum period of relativistic uniformly rotating white dwarfs //
International Journal of Modern Physics:
Conference Series. – 2013. – Vol 23. – P. 193-197.
17. Boshkayev K., Izzo L., Rueda, J.A. Ruffini, R. SGR 0418+5729, Swift J1822.3-1606, and 1E 2259+586 as massive, fast-rotating, highly
magnetized white dwarfs // Astronomy & Astrophysics. – 2013. – Vol.555. – P.A151.
18. Renedo I., Althaus L.G., Miller Bertolami M.M., Romero A.D., Corsico A.H., Rohrmann R.D., Garcia-Berro E. New Cooling Sequences for
Old White Dwarfs // Astrophysical Journal. – 2010. – Vol. 717. – P 183-195.
Downloads
How to Cite
Boshkayev, K., Rueda, J. A., & Muccino, M. (2014). Evolution of isolated white dwarfs. International Journal of Mathematics and Physics, 5(2), 33–36. https://doi.org/10.26577/2218-7987-2014-5-2-33-36
Issue
Section
Theoretical Physics and Plasma Physics
