Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences


We study effect of additional cooling mechanism on the thermal evolution of rotating magnetized neutron star (NS). The influence of general relativistic effects on charge distribution inside a NS leads to the qualitative distinction of space charge distribution inside the conducting crust from that inside the superconducting core which may play a source of a possible mechanism of radio-wave radiation production in the intermediate medium inside a rotating neutron star. This radiation may interact the matter of the neutron star and energy of the electromagnetic radiation can be transformed into the heating energy. The intensity of radio-wave radiation produced inside NS and its relation for the relaxation time of cooling of the rotating magnetized neutron star in the curved space-time are estimated. The relaxation time of cooling of the rotating magnetized neutron star is essentially increased by heating arisen by the interaction of the generated electromagnetic radiation with the conducting matter of the neutron star crust. New suggested physical mechanism for the heating energy of the radio-wave radiation is proposed and some estimates on.

First Page


Last Page



1. Lattimer K.M., Prakash M. Neutron Star Structure and the Equation of State. The Astrophysical Journal, Vol. 550, No. 1, 426–442 (2001).

2. Pethick C.J. Cooling of neutron stars. Rev. Mod. Phys., Vol. 64, Issue 4, 1133–1140 (1992).

3. Yakovlev D.G., Levenfish K.P., Shibanov Yu.A. Cooling of neutron stars and superfluidity in their cores. Physics-Uspekhi, Vol. 42, No. 8, 737–778 (1999).

4. Lattimer J.M., Van Riper K.A., Prakash M. Rapid cooling and the structure of neutron stars. The Astrophysical Journal, Vol. 425, No. 2, 802–813 (1994).

5. Gnedin O.Y., Yakovlev D.G., Potekhin A.Y. Thermal relaxation in young neutron stars. Monthly Notices of the Royal Astronomical Society, Vol. 324, Issue 3, 725–736 (2001).

6. Rezzolla L., Ahmedov B.J., Miller J.C. General relativistic electromagnetic fields of a slowly rotating magnetized neutron star — I. Formulation of the equations. Monthly Notices of the Royal Astronomical Society, Vol. 322, Issue 4, 723–740 (2001).

7. Thorne K.S. The relativistic equations of stellar structure and evolution. The Astrophysical Journal, Vol. 212, 825–831 (1977).

8. Hartle J.B. Slowly Rotating Relativistic Stars. I. Equations of Structure. The Astrophysical Journal, Vol. 150, 1005–1029 (1967).

9. Hartle J.B., Thorne K.S. Slowly Rotating Relativistic Stars. II. Models for Neutron Stars and Supermassive Stars. The Astrophysical Journal, Vol. 153, 807 (1968).

10. Schutz B.F. A First Course in General Relativity. Cambridge University Press, Cambridge, (1985).

11. Ahmedov B.J. Possibility of Radio-wave Radiation Production Inside a Pulsar. International Journal of Modern Physics D, Vol. 06, No. 03, 341–347 (1997).

12. Morozova V.S., Ahmedov B.J., Zanotti O. General relativistic magnetospheres of slowly rotating and oscillating magnetized neutron stars. Monthly Notices of the Royal Astronomical Society, Vol. 408, Issue 1, 490–502 (2010).

13. Muslimov A.G., Tsygan A.I. General relativistic electric potential drops above pulsar polar caps. Monthly Notices of the Royal Astronomical Society, Vol. 255, Issue 1, 61–70 (1992).

14. Landau L.D., Lifshitz E.M. The Classical Theory of Fields, Vol. 2: Course of Theoretical Physics. Butterworth-Heinemann, Oxford, (2004).

15. Rezzolla L., Ahmedov B. J. Electromagnetic fields in the exterior of an oscillating relativistic star – I. General expressions and application to a rotating magnetic dipole. Monthly Notices of the Royal Astronomical Society, Vol. 352, Issue 4, 1161–1179 (2004).

16. Shapiro S.L., Teukolsky S.A. Black Holes, White Dwarfs and Neutron Stars. Wiley-Interscience, New York, (1983).

17. Potekhin A.Y., Pons J.A., Page D. Neutron Stars–Cooling and Transport. Space Science Reviews, Vol. 191, Issue 1–4, 239–291 (2015).

18. Yakovlev D.G., Gnedin O.Y., Gusakov M.E., Kaminker A.D., Levenfish K.P., Potekhin A.Y. Neutron star cooling. Nuclear Physics A, Vol. 752, 590–599 (2005).

19. Glen G., Sutherland P. On the cooling of neutron stars. The Astrophysical Journal, Part 1, Vol. 239, 671–684 (1980).

20. Ofengeim D.D., Yakovlev D.G. Cooling status of three neutron stars. Journal of Physics: Conference Series, Vol. 932, 012049 (2017).



To view the content in your browser, please download Adobe Reader or, alternately,
you may Download the file to your hard drive.

NOTE: The latest versions of Adobe Reader do not support viewing PDF files within Firefox on Mac OS and if you are using a modern (Intel) Mac, there is no official plugin for viewing PDF files within the browser window.