Exploring the Existence of a Third Family of Compact Stars

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Vazgen Bojukyan's research delves into the intriguing question of whether a third family of compact stars exists. Using equations and methods like the Tolman-Oppenheimer-Volkoff equation, polytropic equation of state, and BSK20 equation, this work explores spherically symmetrical static stars and their mass, pressure, and density profiles. The study also investigates the potential presence of strangeness in quark matter, seeking to unravel the mysteries of compact stellar objects.

  • Compact Stars
  • Quark Matter
  • Third Family
  • Equations
  • Stellar Research
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  1. THE QUESTION OF EXISTENCE OF THE THIRD FAMILY OF COMPACT STARS Vazgen Bojukyan Yerevan State University, Armenia Supervisor: H. Grigorian STRANGENESS IN QUARK MATTER, DUBNA 2015 THE QUESTION OF EXISTENCE OF THE THIRD FAMILY OF COMPACT STARS, VAZGEN BOJUKYAN

  2. OUTLINE Introduction Direct Problem Polytropic Equation Of State BSK20 Equation Of State Inverse Problem Variation Method Scanning Method STRANGENESS IN QUARK MATTER, DUBNA 2015 2 THE QUESTION OF EXISTENCE OF THE THIRD FAMILY OF COMPACT STARS, VAZGEN BOJUKYAN

  3. SPHERICALLY SYMMETRIC STATIC STARS Tolman Oppenheimer Volkoff Equation 1 ?? ? ?? = ? ?2? ? +? ? ? ? + 4??3? ? 1 2?? ? ?2 ?2 ?2? Total Mass ?? ? ?? = 4?? ? ?2 Equation Of State ? = ? ? STRANGENESS IN QUARK MATTER, DUBNA 2015 3 THE QUESTION OF EXISTENCE OF THE THIRD FAMILY OF COMPACT STARS, VAZGEN BOJUKYAN

  4. SPHERICALLY SYMMETRIC STATIC STARS Tolman Oppenheimer Volkoff Equation 1 ?? ? ?? = ? ?2? ? +? ? ? ? + 4??3? ? 1 2?? ? ?2 ?2 ?2? Total Mass Mass, Pressure, Density ?? ? ?? ? ? ,? ? ,? ? = 4?? ? ?2 Equation Of State ? = ? ? STRANGENESS IN QUARK MATTER, DUBNA 2015 4 THE QUESTION OF EXISTENCE OF THE THIRD FAMILY OF COMPACT STARS, VAZGEN BOJUKYAN

  5. SPHERICALLY SYMMETRIC STATIC STARS Tolman Oppenheimer Volkoff Equation 1 ?? ? ?? = ? ?2? ? +? ? ? ? + 4??3? ? 1 2?? ? ?2 ?2 ?2? Total Mass Mass, Pressure, Density ?? ? ?? ? ? ,? ? ,? ? = 4?? ? ?2 ? Equation Of State ? ? ? ? ? ? ? = ? ? STRANGENESS IN QUARK MATTER, DUBNA 2015 5 THE QUESTION OF EXISTENCE OF THE THIRD FAMILY OF COMPACT STARS, VAZGEN BOJUKYAN

  6. DIRECT PROBLEM POLYTROPIC EQUATION OF STATE BSK20 EQUATION OF STATE STRANGENESS IN QUARK MATTER, DUBNA 2015 6 THE QUESTION OF EXISTENCE OF THE THIRD FAMILY OF COMPACT STARS, VAZGEN BOJUKYAN

  7. Equations For Numerical Calculations Constants ????? 0 1 ? ?2 2?1? ? ? ? ?1? ? + ? ? ? + ?0?3? ? ? ?? ?? ?? ?? = ?0= 1.126 10 5 ??? 1 ?1= 1.476 km 1 ?? ?? ?? ?? = ?0??2? ? = ? ? ? ? = ?(0) ? = ?(0) Initial Conditions ?? ?0 ? ?? = ????? mass, pressure, radius ? ?? =?0 m ? ,? ? ,? ? 3 3????? ?? STRANGENESS IN QUARK MATTER, DUBNA 2015 7 THE QUESTION OF EXISTENCE OF THE THIRD FAMILY OF COMPACT STARS, VAZGEN BOJUKYAN

  8. POLYTROPIC EQUATION OF STATE ? ? = ? ?? ? = 0.0008801(???/??3)1 ? ? =5 3 STRANGENESS IN QUARK MATTER, DUBNA 2015 8 THE QUESTION OF EXISTENCE OF THE THIRD FAMILY OF COMPACT STARS, VAZGEN BOJUKYAN

  9. Mass Distribution Mass And Radius Relation Radius Distribution STRANGENESS IN QUARK MATTER, DUBNA 2015 9 THE QUESTION OF EXISTENCE OF THE THIRD FAMILY OF COMPACT STARS, VAZGEN BOJUKYAN

  10. BSK20 EQUATION OF STATE ? = log10? ? = log10? ? =?1+ ?2? +?3?3 1 + ?4 1+ ?7+ ?8? ??9 ?6 ? +1 1 ??5 ? ?6+1 1+ ?14+ ?15? ??16 ?17 ? +1 ?21 2 1 + ?10+ ?11? ??12 ?13 ? +1 ?18 + 2+ 1 + ?19 ? ?20 1 + ?22 ? ?23 ?? ?? ?? ?? ?? ?? ?? 4,078 7,587 0,00839 0,21695 3,614 11,942 13,751 ?? ?? ??? ??? ??? ??? ??? ??? 1,3373 3,606 -22,996 1,6229 4,88 14,274 23,560 -1,5564 ??? ??? ??? ??? ??? ??? ??? ??? 2,095 15,294 0,084 6,36 11,67 -0,042 14,8 14,18 STRANGENESS IN QUARK MATTER, DUBNA 2015 10 THE QUESTION OF EXISTENCE OF THE THIRD FAMILY OF COMPACT STARS, VAZGEN BOJUKYAN

  11. Mass Relation Mass And Radius Relation Radius Relation STRANGENESS IN QUARK MATTER, DUBNA 2015 11 THE QUESTION OF EXISTENCE OF THE THIRD FAMILY OF COMPACT STARS, VAZGEN BOJUKYAN

  12. INVERSE PROBLEM Variation Method Scanning Method STRANGENESS IN QUARK MATTER, DUBNA 2015 12 THE QUESTION OF EXISTENCE OF THE THIRD FAMILY OF COMPACT STARS, VAZGEN BOJUKYAN

  13. Fiducial And Close By Configuration ?0 ? Fiducial STRANGENESS IN QUARK MATTER, DUBNA 2015 13 THE QUESTION OF EXISTENCE OF THE THIRD FAMILY OF COMPACT STARS, VAZGEN BOJUKYAN

  14. Fiducial And Close By Configuration ? < ?0 ? > ?0 ? ?0+ ?? ?0 ??= ?0 ? Fiducial Close By STRANGENESS IN QUARK MATTER, DUBNA 2015 14 THE QUESTION OF EXISTENCE OF THE THIRD FAMILY OF COMPACT STARS, VAZGEN BOJUKYAN

  15. Fiducial And Close By Configuration ? < ?0 ?? ? > ?0 ? ?0+ ?? ?0 ??= ?0 ? Fiducial Close By STRANGENESS IN QUARK MATTER, DUBNA 2015 15 THE QUESTION OF EXISTENCE OF THE THIRD FAMILY OF COMPACT STARS, VAZGEN BOJUKYAN

  16. Fiducial And Close By Configuration ? < ?0 ?? ? > ?0 ?? ? ?0+ ?? ?0 ??= ?0 ? Fiducial Close By STRANGENESS IN QUARK MATTER, DUBNA 2015 16 THE QUESTION OF EXISTENCE OF THE THIRD FAMILY OF COMPACT STARS, VAZGEN BOJUKYAN

  17. Fiducial And Close By Configuration ? < ?0 ?? ? > ?0 ?? ? ?? ?0+ ?? ?? ?0 ????= ?0 ?? ?? ? Fiducial Close By STRANGENESS IN QUARK MATTER, DUBNA 2015 17 THE QUESTION OF EXISTENCE OF THE THIRD FAMILY OF COMPACT STARS, VAZGEN BOJUKYAN

  18. Fiducial And Close By Configuration ?? = ? ? ? ? ?? = ? ? ? ? ?? = ? ? ? ? ? < ?0 ?? ? > ?0 ?? ? ?? ?0+ ?? ?? ?0 ????= ?0 ?? ?? ? Fiducial Close By STRANGENESS IN QUARK MATTER, DUBNA 2015 18 THE QUESTION OF EXISTENCE OF THE THIRD FAMILY OF COMPACT STARS, VAZGEN BOJUKYAN

  19. TolmanOppenheimerVolkoff Equation Variation ? ? + ? ? ? ? + 4??3? 3? ?2 2?? ? ?? ? ?? = ?? ? ?? = 4?? ? ?2 ? = ? ? ?2[?? 2] ? = ? ? ?2[?? 2] ? = ? ? ?2[cm] STRANGENESS IN QUARK MATTER, DUBNA 2015 19 THE QUESTION OF EXISTENCE OF THE THIRD FAMILY OF COMPACT STARS, VAZGEN BOJUKYAN

  20. TolmanOppenheimerVolkoff Equation Variation ? ? + ? ? ? ? + 4??3? 3? ?2 2?? ? ?? ? ?? ? ? + 4??3?3? ?2 2?? ? ? ? + ? ? ?? ? ?? = = ?? ? ?? ?? ? ?? = 4?? ? ?2 = 4?? ? ?2 ? = ? ? ?2[?? 2] ? = ? ? ?2[?? 2] ? = ? ? ?2[cm] STRANGENESS IN QUARK MATTER, DUBNA 2015 20 THE QUESTION OF EXISTENCE OF THE THIRD FAMILY OF COMPACT STARS, VAZGEN BOJUKYAN

  21. TolmanOppenheimerVolkoff Equation Variation ? ? + ? ? ? ? + 4??3? 3? ?2 2?? ? ?? ? ?? ? ? + 4??3?3? ?2 2?? ? ? ? + ? ? ?? ? ?? = = ?? ? ?? ?? ? ?? = 4?? ? ?2 = 4?? ? ?2 ? = ? ? ?2[?? 2] ? = ? ? ?2[?? 2] ??? ??= ? ? ? + ? ? ? ? ? ?? = 4??2 ? ? = ? ? ?2[cm] ?2 ? ??2 2 ?+ ?? ? ? ?? ?? =? ? 1 + ? + ??2 ? = 0 4??2 ?? STRANGENESS IN QUARK MATTER, DUBNA 2015 21 THE QUESTION OF EXISTENCE OF THE THIRD FAMILY OF COMPACT STARS, VAZGEN BOJUKYAN

  22. TolmanOppenheimerVolkoff Equation Variation ? ? + ? ? ? ? + 4??3? 3? ?2 2?? ? ? = ? ?? ? ?? ?? ? ?? ? ? + 4??3?3? ?2 2?? ? ? ? + ? ? ?? ? ?? ?? ? ?? = = ? ?2[?? 2] = 4?? ? ?2 = 4?? ? ?2 ? = ? ? ?2[?? 2] ? = ? ? ?2[cm] ??? ??= ? ? ? + ? ? ? ? ? ?? = 4??2 ? ?2 ? ??2 2 ?+ ?? ? ? ?? ?? =? ? 1 + ? + ??2 ? = 0 4??2 ?? ? < ?0 ?? ?? ? ?? =4? ? ?? ?? 3??3 ? 0 ?0+ ?? ??? = ??? ?2? ?0 ????= ?0 ?? ?? Fiducial ? ?? ?? 2 ? ?? = ? 0 ? ?? = ? 0 2 Close By STRANGENESS IN QUARK MATTER, DUBNA 2015 22 THE QUESTION OF EXISTENCE OF THE THIRD FAMILY OF COMPACT STARS, VAZGEN BOJUKYAN

  23. Pressure Variation ? ?? = ? 0 ??? = ??? ?2? ?? ?? 2 ? ?? = ? 0 2 STRANGENESS IN QUARK MATTER, DUBNA 2015 23 THE QUESTION OF EXISTENCE OF THE THIRD FAMILY OF COMPACT STARS, VAZGEN BOJUKYAN

  24. Verification Of An Equation ,?? ?0 ?0 ?? ?0 ?0 , ?? ?? ?? 3 ? 0 = ? ?? 3 ?? 4??? ?? ?? 2 2 ?? ? 0 = ? ?? ? 0 ?0 STRANGENESS IN QUARK MATTER, DUBNA 2015 24 THE QUESTION OF EXISTENCE OF THE THIRD FAMILY OF COMPACT STARS, VAZGEN BOJUKYAN

  25. Equation Of Stat ??? = ?0+ ?1? +1 2?2?2+1 3!?3?3 ???? = ??,???? = ?? ? ??? = ?,? ??? = ?2 ?2 ? ? ?? =4? 3 ? 0 3?? ?? ?? 2 ? ?? = ? 0 2 STRANGENESS IN QUARK MATTER, DUBNA 2015 25 THE QUESTION OF EXISTENCE OF THE THIRD FAMILY OF COMPACT STARS, VAZGEN BOJUKYAN

  26. Speed Of Sound Scanning Method ? ?0+ ? = ? ?0 + ?2?0 ? ?2? = ?(?) ? STRANGENESS IN QUARK MATTER, DUBNA 2015 26 THE QUESTION OF EXISTENCE OF THE THIRD FAMILY OF COMPACT STARS, VAZGEN BOJUKYAN

  27. Speed Of Sound Scanning Method STRANGENESS IN QUARK MATTER, DUBNA 2015 27 THE QUESTION OF EXISTENCE OF THE THIRD FAMILY OF COMPACT STARS, VAZGEN BOJUKYAN

  28. Speed Of Sound Scanning Method STRANGENESS IN QUARK MATTER, DUBNA 2015 28 THE QUESTION OF EXISTENCE OF THE THIRD FAMILY OF COMPACT STARS, VAZGEN BOJUKYAN

  29. Speed Of Sound Scanning Method STRANGENESS IN QUARK MATTER, DUBNA 2015 29 THE QUESTION OF EXISTENCE OF THE THIRD FAMILY OF COMPACT STARS, VAZGEN BOJUKYAN

  30. Speed Of Sound Scanning Method STRANGENESS IN QUARK MATTER, DUBNA 2015 30 THE QUESTION OF EXISTENCE OF THE THIRD FAMILY OF COMPACT STARS, VAZGEN BOJUKYAN

  31. Speed Of Sound Scanning Method STRANGENESS IN QUARK MATTER, DUBNA 2015 31 THE QUESTION OF EXISTENCE OF THE THIRD FAMILY OF COMPACT STARS, VAZGEN BOJUKYAN

  32. Speed Of Sound Scanning Method STRANGENESS IN QUARK MATTER, DUBNA 2015 32 THE QUESTION OF EXISTENCE OF THE THIRD FAMILY OF COMPACT STARS, VAZGEN BOJUKYAN

  33. Calculation Resoults Equation Of State Mass And Radius Relation STRANGENESS IN QUARK MATTER, DUBNA 2015 33 THE QUESTION OF EXISTENCE OF THE THIRD FAMILY OF COMPACT STARS, VAZGEN BOJUKYAN

  34. Thanks for Attention!

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