Prospects for neutron star equation of state constraints using “recycled” millisecond pulsars

  • Slavko BogdanovEmail author
Part of the following topical collections:
  1. Exotic Matter in Neutron Stars


“Recycled” millisecond pulsars are a variety of rapidly spinning neutron stars that typically show thermal X-ray radiation due to the heated surface of their magnetic polar caps. Detailed numerical modeling of the rotation-induced thermal X-ray pulsations observed from recycled millisecond pulsars, including all relevant relativistic and stellar atmospheric effects, has been identified as a promising approach towards an astrophysical determination of the true neutron star mass-radius relation, and by extension the state of cold matter at densities exceeding those of atomic nuclei. Herein, I review the basic model and methodology commonly used to extract information regarding neutron star structure from the pulsed X-ray radiation observed from millisecond pulsars. I also summarize the results of past X-ray observations of these objects and the prospects for precision neutron star mass-radius measurements with the upcoming Neutron Star Interior Composition Explorer (NICER) X-ray timing mission.


Neutron Star Very Long Baseline Interferometry Stellar Surface Millisecond Pulsar Stellar Radius 
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  1. 1.
    M.C. Miller, Astrophysical Constraints on Dense Matter in Neutron Stars, arXiv:1312.0029 (2013)
  2. 2.
    G.G. Pavlov, V.E. Zavlin, Astrophys. J. Lett. 490, L91 (1997)CrossRefADSGoogle Scholar
  3. 3.
    S. Bogdanov, G.B. Rybicki, J.E. Grindlay, Astrophys. J. 670, 668 (2007)CrossRefADSGoogle Scholar
  4. 4.
    S. Bogdanov, J.E. Grindlay, G.B. Rybicki, Astrophys. J. 689, 407 (2008)CrossRefADSGoogle Scholar
  5. 5.
    M.A. Alpar, A.F. Cheng, M.A. Ruderman, J. Shaham, Nature 300, 728 (1982)CrossRefADSGoogle Scholar
  6. 6.
    V.E. Zavlin, Astrophys. J. 638, 951 (2006)CrossRefADSGoogle Scholar
  7. 7.
    S. Bogdanov, J.E. Grindlay, C.O. Heinke, F. Camilo, P.C.C. Freire, W. Becker, Astrophys. J. 646, 1104 (2006)CrossRefADSGoogle Scholar
  8. 8.
    S. Bogdanov, M. van den Berg, M. Servillat, C.O. Heinke, J.E. Grindlay, I.H. Stairs, S.M. Ransom, P.C.C. Freire, S. Bégin, W. Becker, Astrophys. J. 730, 81 (2011)CrossRefADSGoogle Scholar
  9. 9.
    L.M. Forestell, C.O. Heinke, H.N. Cohn, P.M. Lugger, G.R. Sivakoff, S. Bogdanov, A.M. Cool, J. Anderson, Mon. Not. R. Astron. Soc. 441, 757 (2014)CrossRefADSGoogle Scholar
  10. 10.
    A.K. Harding, A.G. Muslimov, Astrophys. J. 568, 862 (2002)CrossRefADSGoogle Scholar
  11. 11.
    K.R. Pechenick, C. Ftaclas, J.M. Cohen, Astrophys. J. 274, 846 (1983)CrossRefADSGoogle Scholar
  12. 12.
    C. Ftaclas, M.W. Kearney, K. Pechenick, Astrophys. J. 300, 203 (1986)CrossRefADSGoogle Scholar
  13. 13.
    T.M. Braje, R.W. Romani, K.P. Rauch, Astrophys. J. 531, 447 (2000)CrossRefADSGoogle Scholar
  14. 14.
    H. Riffert, P. Meszaros, Astrophys. J. 325, 207 (1988)CrossRefADSGoogle Scholar
  15. 15.
    M.C. Miller, F.K. Lamb, Astrophys. J. Lett. 499, L37 (1998)CrossRefADSGoogle Scholar
  16. 16.
    A.M. Beloborodov, Astrophys. J. Lett. 566, L85 (2002)CrossRefADSGoogle Scholar
  17. 17.
    J. Poutanen, M. Gierliński, Mon. Not. R. Astron. Soc. 343, 1301 (2003)CrossRefADSGoogle Scholar
  18. 18.
    K. Viironen, J. Poutanen, Astron. Astrophys. 426, 985 (2004)CrossRefADSGoogle Scholar
  19. 19.
    C. Cadeau, S.M. Morsink, D. Leahy, S.S. Campbell, Astrophys. J. 654, 458 (2007)CrossRefADSGoogle Scholar
  20. 20.
    S.M. Morsink, D.A. Leahy, C. Cadeau, J. Braga, Astrophys. J. 663, 1244 (2007)CrossRefADSGoogle Scholar
  21. 21.
    D. Psaltis, F. Özel, Astrophys. J. 792, 87 (2014)CrossRefADSGoogle Scholar
  22. 22.
    J.B. Hartle, K.S. Thorne, Astrophys. J. 153, 807 (1968)CrossRefADSGoogle Scholar
  23. 23.
    M. Bauböck, E. Berti, D. Psaltis, F. Özel, Astrophys. J. 777, 68 (2013)CrossRefADSGoogle Scholar
  24. 24.
    G.B. Cook, S.L. Shapiro, S.A. Teukolsky, Astrophys. J. 424, 823 (1994)CrossRefADSGoogle Scholar
  25. 25.
    N. Stergioulas, J.L. Friedman, Astrophys. J. 444, 306 (1995)CrossRefADSGoogle Scholar
  26. 26.
    J. Poutanen, A.M. Beloborodov, Mon. Not. R. Astron. Soc. 373, 836 (2006)CrossRefADSGoogle Scholar
  27. 27.
    D. Bhattacharya, E.P.J. van den Heuvel, Phys. Rep. 203, 1 (1991)CrossRefADSGoogle Scholar
  28. 28.
    V.E. Zavlin, G.G. Pavlov, Y.A. Shibanov, Astron. Astrophys. 315, 141 (1996)ADSGoogle Scholar
  29. 29.
    M. Rajagopal, R.W. Romani, Astrophys. J. 461, 327 (1996)CrossRefADSGoogle Scholar
  30. 30.
    C.O. Heinke, G.B. Rybicki, R. Narayan, J.E. Grindlay, Astrophys. J. 644, 1090 (2006)CrossRefADSGoogle Scholar
  31. 31.
    C.B. Haakonsen, M.L. Turner, N.A. Tacik, R.E. Rutledge, Astrophys. J. 749, 52 (2012)CrossRefADSGoogle Scholar
  32. 32.
    R.W. Romani, Astrophys. J. 313, 718 (1987)CrossRefADSGoogle Scholar
  33. 33.
    V.E. Zavlin, G.G. Pavlov, Astron. Astrophys. 329, 583 (1998)ADSGoogle Scholar
  34. 34.
    W. Becker, J. Trümper, Nature 365, 528 (1993)CrossRefADSGoogle Scholar
  35. 35.
    S. Johnston, D.R. Lorimer, P.A. Harrison, M. Bailes, A.G. Lyne, J.F. Bell, V.M. Kaspi, R.N. Manchester, N. D’Amico, L. Nicastro, Nature 361, 613 (1993)CrossRefADSGoogle Scholar
  36. 36.
    S. Bogdanov, J.E. Grindlay, Astrophys. J. 703, 1557 (2009)CrossRefADSGoogle Scholar
  37. 37.
    S. Bogdanov, Astrophys. J. 762, 96 (2013)CrossRefADSGoogle Scholar
  38. 38.
    J.P.W. Verbiest, M. Bailes, W. van Straten, G.B. Hobbs, R.T. Edwards, R.N. Manchester, N.D.R. Bhat, J.M. Sarkissian, B.A. Jacoby, S.R. Kulkarni, Astrophys. J. 679, 675 (2008)CrossRefADSGoogle Scholar
  39. 39.
    F. Özel, D. Psaltis, Phys. Rev. D 80, 103003 (2009)CrossRefADSGoogle Scholar
  40. 40.
    A.W. Steiner, J.M. Lattimer, E.F. Brown, Astrophys. J. 722, 33 (2010)CrossRefADSGoogle Scholar
  41. 41.
    V. Suleimanov, J. Poutanen, M. Revnivtsev, K. Werner, Astrophys. J. 742, 122 (2011)CrossRefADSGoogle Scholar
  42. 42.
    J. Poutanen, J. Nättilä, J.J.E. Kajava, O.-M. Latvala, D.K. Galloway, E. Kuulkers, V.F. Suleimanov, Mon. Not. R. Astron. Soc. 442, 3777 (2014)CrossRefADSGoogle Scholar
  43. 43.
    M. Servillat, C.O. Heinke, W.C.G. Ho, J.E. Grindlay, J. Hong, M. van den Berg, S. Bogdanov, Mon. Not. R. Astron. Soc. 423, 1556 (2012)CrossRefADSGoogle Scholar
  44. 44.
    S. Guillot, M. Servillat, N.A. Webb, R.E. Rutledge, Astrophys. J. 772, 7 (2013)CrossRefADSGoogle Scholar
  45. 45.
    C.O. Heinke, H.N. Cohn, P.M. Lugger, N.A. Webb, W.C.G. Ho, J. Anderson, S. Campana, S. Bogdanov, D. Haggard, A.M. Cool, J.E. Grindlay, Mon. Not. R. Astron. Soc. 444, 443 (2014)CrossRefADSGoogle Scholar
  46. 46.
    A.T. Deller, J.P.W. Verbiest, S.J. Tingay, M. Bailes, Astrophys. J. Lett. 685, L67 (2008)CrossRefADSGoogle Scholar
  47. 47.
    P.B. Demorest, T. Pennucci, S.M. Ransom, M.S.E. Roberts, J.W.T. Hessels, Nature 467, 1081 (2010)CrossRefADSGoogle Scholar
  48. 48.
    J. Antoniadis, Science 340, 448 (2013)CrossRefADSGoogle Scholar
  49. 49.
    J.M. Lattimer, M. Prakash, Astrophys. J. 550, 426 (2001)CrossRefADSGoogle Scholar
  50. 50.
    C. Venter, A.K. Harding, L. Guillemot, Astrophys. J. 707, 800 (2009)CrossRefADSGoogle Scholar
  51. 51.
    C. Motch, J. Wilms, D. Barret, W. Becker, S. Bogdanov, L. Boirin, S. Corbel, E. Cackett, S. Campana, D. de Martino, F. Haberl, J. in’t Zand, M. Méndez, R. Mignani, J. Miller, M. Orio, D. Psaltis, N. Rea, J. Rodriguez, A. Rozanska, A. Schwope, A. Steiner, N. Webb, L. Zampieri, S. Zane, The Hot and Energetic Universe: End points of stellar evolution, arXiv:1306.2334 (2013)
  52. 52.
    K.C. Gendreau, Z. Arzoumanian, T. Okajima, The Neutron star Interior Composition ExploreR (NICER): an Explorer mission of opportunity for soft x-ray timing spectroscopy, in Society of Photo-Optical Instrumentation Engineers (SPIE) Conference Series, Vol. 8443 (2012) p. 13, DOI:10.1117/12.926396
  53. 53.
    D. Psaltis, F. Özel, D. Chakrabarty, Astrophys. J. 787, 136 (2014)CrossRefADSGoogle Scholar
  54. 54.
    F. Özel, G. Baym, T. Güver, Phys. Rev. D 82, 101301 (2010)CrossRefADSGoogle Scholar

Copyright information

© SIF, Springer-Verlag Berlin Heidelberg 2016

Authors and Affiliations

  1. 1.Columbia Astrophysics LaboratoryColumbia UniversityNew YorkUSA

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