Skip to main content
SpringerLink
Log in

Analytical model of millisecond pulsar PSR J0514-4002A

  • Regular Article
  • Published:
The European Physical Journal Plus Aims and scope Submit manuscript

Abstract

We construct a relativistic model for the newly discovered millisecond pulsar PSR J0514-4002A located in the globular cluster NGC 1851 (Ridolfi et al. in MNRAS 490:3860, 2019) by using Tolman VII spacetime. We have obtained central density (\(\rho _{0}\)), central pressure (\(p_{0}\)), probable radius, compactness (u) and surface redshift (\(Z_\mathrm{s}\)) of the above-mentioned newly discovered millisecond pulsar, which is very much consistent with reported data. Equation of state of the millisecond pulsar has come out as stiff in nature which is physically acceptable. Not even that our proposed model can analyze most of the millisecond pulsars having masses up to \(1.51 M_{\odot }\).

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14
Fig. 15
Fig. 16

Similar content being viewed by others

References

  1. R. Cornelisse, M.M. Kotze, J. Casares, P.A. Charles, P.J. Hakala, MNRAS 436, 910 (2013)

    ADS  Google Scholar 

  2. M.A. Alpar, A.F. Cheng, M.A. Ruderman, J. Shaham, Nature 300, 728 (1982)

    ADS  Google Scholar 

  3. D.C. Backer, S.R. Kulkarni, C. Heiles, M.M. Davis, W.M. Goss, Nature 300, 615 (1982)

    ADS  Google Scholar 

  4. M. Ruderman, J. Shaham, M. Tavani, ApJ 336, 507 (1989)

    ADS  Google Scholar 

  5. W. Becker, J. Trümper, Nature 365, 528 (1993)

    ADS  Google Scholar 

  6. J. Antoniadis, T.M. Tauris, F. Özel, E. Barr, D.J. Champion, P.C.C. Freire, preprint arXiv: 1605.01665 (2016)

  7. A. Zilles et al., MNRAS 492, 1579 (2020)

    ADS  Google Scholar 

  8. G. Voisin et al., MNRAS 492, 1550 (2020)

    ADS  Google Scholar 

  9. N.V. Gusinskaia et al., MNRAS 492, 1091 (2020)

    ADS  Google Scholar 

  10. M. Vivekanand, Astrophys. J. 890, 143 (2020)

    ADS  Google Scholar 

  11. S. Bogdanov et al., Astrophys. J. Lett. 887, L25 (2019)

    ADS  Google Scholar 

  12. T.E. Riley, et al., Astrophys. J. Lett. 887, L21 ((2019)

  13. P. Bult et al., Astrophys. J. 885, L1 (2019)

    ADS  Google Scholar 

  14. N.A. Webb et al., Astron. Astrophys. 627, A141 (2019)

    Google Scholar 

  15. C.M. Will, Living Rev. Rel. 9, 3 (2005)

    Google Scholar 

  16. K. Schwarzschild, Sitzer. Preuss. Akad. Wiss. 189, 424 (1916)

    Google Scholar 

  17. J.R. Oppenheimer, G.M. Volkoff, Phys. Rev. 55, 374 (1939)

    ADS  Google Scholar 

  18. R.C. Tolman, Phys. Rev. 55, 364 (1939)

    ADS  Google Scholar 

  19. F. Rahaman et al., Gen. Relativ. Gravit. 44, 107 (2012)

    ADS  Google Scholar 

  20. F. Rahaman et al., Eur. Phys. J. C 72, 2071 (2012)

    ADS  Google Scholar 

  21. M. Kalam et al., Eur. Phys. J. C 72, 2248 (2012)

    ADS  Google Scholar 

  22. S.M. Hossein et al., Int. J. Mod. Phys. D 21, 1250088 (2012)

    ADS  Google Scholar 

  23. M. Kalam et al., Int. J. Theor. Phys. 52, 3319 (2013)

    Google Scholar 

  24. M. Kalam et al., Eur. Phys. J. C 73, 2409 (2013)

    ADS  Google Scholar 

  25. M. Kalam et al., Eur. Phys. J. C 74, 2971 (2014)

    ADS  Google Scholar 

  26. M. Kalam et al., Astrophys. Space Sci. 349, 865 (2014)

    ADS  Google Scholar 

  27. S.M. Hossein et al., Astrophys. Space Sci. 361(6), 203 (2016)

    ADS  Google Scholar 

  28. S.M. Hossein et al., Astrophys. Space Sci. 361(10), 333 (2016)

    ADS  Google Scholar 

  29. M. Kalam et al., Mod. Phys. Lett. A 31(40), 1650219 (2016)

    ADS  Google Scholar 

  30. M. Kalam et al., Mod. Phys. Lett. A 32(04), 1750012 (2017)

    ADS  Google Scholar 

  31. M. Kalam et al., Res. Astron. Astrophys. 18(3), 025 (2018)

    ADS  Google Scholar 

  32. S. Molla et al., Res. Astron. Astrophys. 19(2), 026 (2019)

    ADS  Google Scholar 

  33. R. Islam et al., Astrophys. Space Sci. 364(7), 112 (2019)

    ADS  Google Scholar 

  34. S.H. Hendi et al., JCAP 09, 013 (2016)

    ADS  Google Scholar 

  35. S.H. Hendi et al., JCAP 07, 004 (2017)

    ADS  Google Scholar 

  36. B.E. Panah et al., Astrophys. J. 848(1), 24 (2017)

    ADS  Google Scholar 

  37. S. Ngubelanga, S.D. Maharaj, S. Ray, Astrophys. Space Sci. 357, 74 (2015)

    ADS  Google Scholar 

  38. B.C. Paul, P.K. Chattopadhyay, S. Karmakar, Astrophys. Space Sci. 356, 327 (2015)

    ADS  Google Scholar 

  39. F. Lobo, Class. Quantum. Grav. 23, 1525 (2006)

    ADS  Google Scholar 

  40. K. Bronnikov, J.C. Fabris, Phys. Rev. Lett. 96, 251101 (2006)

    ADS  MathSciNet  Google Scholar 

  41. E. Egeland, Compact Star (Trondheim, Norway, 2007)

    Google Scholar 

  42. I. Dymnikova, Class. Quantum. Gravit. 19, 725 (2002)

    ADS  MathSciNet  Google Scholar 

  43. N. Neary, M. Ishak, K. Lake, Phys. Rev. D 64, 084001 (2001)

    ADS  Google Scholar 

  44. T.E. Kiess, Astrophys. Space Sci. 339, 329 (2012)

    ADS  Google Scholar 

  45. A.M. Raghoonundun, D.W. Hobill, Phys. Rev. D 92, 124005 (2015)

    ADS  Google Scholar 

  46. P. Bhar, M.H. Murad, N. Pant, Astrophys. Space Sci. 359, 13 (2015)

    ADS  Google Scholar 

  47. K.N. Singh, F. Rahaman, N. Pant, Can. J. Phys. 94, 1017 (2016)

    ADS  Google Scholar 

  48. P. Bhar, K.N. Singh, N. Pant, Indian J. Phys. 91, 701 (2017)

    ADS  Google Scholar 

  49. H. Sotani, K.D. Kokkotas, Phys. Rev. D 97, 124034 (2018)

    ADS  Google Scholar 

  50. S. Hensh, Z. Stuchlík, Eur. Phys. J. C 79, 834 (2019)

    ADS  Google Scholar 

  51. A. Ridolfi, P.C.C. Freire, Y. Gupta, S.M. Ransom, MNRAS 490, 3860 (2019)

    ADS  Google Scholar 

  52. D.J. Reardon et al., MNRAS 455, 1751 (2016)

    ADS  Google Scholar 

  53. B.A. Jacoby, A. Hotan, M. Bailes, S. Ord, S.R. Kulkarni, Astrophys. J. 629, L113 (2005)

    ADS  Google Scholar 

  54. D.J. Nice et al., in 40 Years of Pulsars: Millisecond Pulsars, Magnetars and More. AIP Conf. Proc. 983, 453 (2008)

  55. M. Fortin, M. Bejger, P. Haensel, J.L. Zdunik, A&A 586, A109 (2016)

    ADS  Google Scholar 

  56. P.M. Takisa, S.D. Maharaj, L.L. Leeuw, Eur. Phys. J. C 79, 8 (2019)

    ADS  Google Scholar 

  57. D.K. Matondo, S.D. Maharaj, S. Ray, Eur. Phys. J. C 78, 437 (2018)

    ADS  Google Scholar 

  58. S.K. Maurya, Y.K. Gupta, S. Ray, S.R. Chowdhury, Eur. Phys. J. C 75, 389 (2015)

    ADS  Google Scholar 

  59. S.K. Maurya, A. Banerjee, M.K. Jasim, J. Kumar, A.K. Prasad, A. Pradhan, Phys. Rev. D 99, 044029 (2019)

    ADS  MathSciNet  Google Scholar 

  60. B. Dayanandana, S.K. Maurya, T.T. Smitha, Eur. Phys. J. A 53, 141 (2017)

    ADS  Google Scholar 

  61. S.K. Maurya, Eur. Phys. J. A 53, 89 (2017)

    ADS  Google Scholar 

  62. S. Gedela, R.K. Bisht, N. Pant, Eur. Phys. J. A 54, 207 (2018)

    ADS  Google Scholar 

  63. K.N. Singh, N. Pant, M. Govender, Chinese Physics C 41, 015103 (2017)

    ADS  Google Scholar 

  64. M.A.K. Jafry, S. Molla, R. Islam, M. Kalam, Astrophys. Space Sci. 362(10), 188 (2017)

    ADS  Google Scholar 

  65. F. Rahaman, S.D. Maharaj, I.H. Sardar, K. Chakraborty, Mod. Phys. Lett. A 32, 1750053 (2017)

    ADS  Google Scholar 

  66. M.K. Jasim, S.K. Maurya, Y.K. Gupta, B. Dayanandan, Astrophys. Space Sci. 361, 352 (2016)

    ADS  Google Scholar 

  67. P.M. Takisa, S.D. Maharaj, Astrophys. Space Sci. 361, 262 (2016)

    ADS  Google Scholar 

  68. S.K. Maurya, M.K. Jasim, Y.K. Gupta, T.T. Smitha, Astrophys. Space Sci. 361, 163 (2016)

    ADS  Google Scholar 

  69. K.N. Singh, N. Pradhan, N. Pant, Pramana. J. Phys. 89, 23 (2017)

    ADS  Google Scholar 

  70. F. Özel, Nature 441, 1115 (2006)

    ADS  Google Scholar 

  71. Y.J. Guo, X.Y. Lai, R.X. Xu, Chinese Phys. C 38, 055101 (2014)

    ADS  Google Scholar 

  72. X.Y. Lai, R.X. Xu, MNRAS 398, L31 (2009)

    ADS  Google Scholar 

  73. L. Herrera, Phys. Lett. A 165, 206 (1992)

    ADS  Google Scholar 

  74. H. Abreu, H. Hernandez, L.A. Nunez, Class. Quantum. Grav. 24, 4631 (2007)

    ADS  Google Scholar 

  75. S. Chandrasekhar, Astrophys. J. 140, 417 (1964)

    ADS  MathSciNet  Google Scholar 

  76. H. Bondi, Proc. R. Soc. Lond. A 281, 39 (1964)

    ADS  MathSciNet  Google Scholar 

  77. J.M. Bardeen, K.S. Thorne, D.W. Meltzer, Astrophys. J. 145, 505 (1966)

    ADS  Google Scholar 

  78. H. Knutsen, MNRAS 232, 163 (1988)

    ADS  MathSciNet  Google Scholar 

  79. M.K. Mak, T. Harko, Eur. Phys. J. C 73, 2585 (2013)

    ADS  Google Scholar 

  80. H.A. Buchdahl, Phys. Rev. 116, 1027 (1959)

    ADS  MathSciNet  Google Scholar 

  81. P. Haensel, J.P. Lasopa, J.L. Zdunik, Nucl. Phys. Proc. Suppl. 80, 1110 (2000)

    Google Scholar 

  82. D. Barraco, V.H. Hamity, Phys. Rev. D 65, 124028 (2002)

    ADS  Google Scholar 

Download references

Acknowledgements

MK would like to thank IUCAA, Pune, India, for providing research facilities under Visiting Associateship where a part of this work was carried out. BG acknowledges Aliah University authority for providing research fellowship under PhD programme. We are thankful to the respected referee for useful comments which help us to improve the quality of the manuscript.

Author information

Authors and Affiliations

  1. Department of Physics, New Alipore College, L Block, New Alipore, Kolkata, 700053, India

    Sajahan Molla

  2. Department of Physics, Aliah University, IIA/27, Action Area II, Newtown, Kolkata, 700156, India

    Bidisha Ghosh & Mehedi Kalam

Authors
  1. Sajahan Molla
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Bidisha Ghosh
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Mehedi Kalam
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Mehedi Kalam.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Molla, S., Ghosh, B. & Kalam, M. Analytical model of millisecond pulsar PSR J0514-4002A. Eur. Phys. J. Plus 135, 819 (2020). https://doi.org/10.1140/epjp/s13360-020-00846-2

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1140/epjp/s13360-020-00846-2

Search

Navigation