A NEW NUMERICAL APPROACH TO SOLVE TOV EQUATION FOR NEUTRON STARS MATTER
DOI:
https://doi.org/10.1808/njv4kj93Keywords:
Neutron Stars; Eos of Neutron star; Numerical solution of TOV equation; Power series method of solving TOV equationAbstract
Earthly experiments fall short of recreating the incredibly high densities encountered in neutron stars and supernovae. These cosmic events offer an unparalleled opportunity to explore matter squeezed far beyond its usual limits within the nucleus. By piecing together the puzzle using findings from nuclear experiments, astrophysical observations, and powerful theoretical models, scientists can unveil the secrets of this strange, ultra-dense matter. While primarily made of neutrons, neutron stars might contain additional surprise guests – hyperons and quarks. These particles, existing outside the realm of typical atomic nuclei, influence the structure and composition of these stars. The core equations describing these objects, known as the equations of state, are the central theme of this article. We begin with a concise overview of their formation, exploring their defining characteristics and structural peculiarities.
References
S. L. Shapiro and S. A. Teukolsky, Black holes, white dwarfs and neutron stars. The physics of compact objects (1983)
M. Oertel, M. Hempel, T. Klahn, and S. Typel, Rev. Mod. Phys. 89, 015007 (2017).
K. Sumiyoshi, T. Kojo, and S. Furusawa, “Equation of state in neutron stars and supernovae,” in Handbook of Nuclear Physics (Springer Nature Singapore, 2023) p. 1–51.
J. M. Lattimer, Annual Review of Nuclear and Particle Science 62, 485–515 (2012).
F. O¨ zel, D. Psaltis, R. Narayan, and A. Santos Villarreal, The Astrophysical Journal 757, 55 (2012).
B. Kiziltan, A. Kottas, and S. E. Thorsett, “The neutron star mass distribution,” (2010), arXiv:1011.4291 [astro-ph.GA]
P. B. Demorest, T. Pennucci, S. M. Ransom, M. S. E. Roberts, and J. W. T. Hessels, Nature 467, 1081–1083 (2010).
J. Antoniadis, P. C. C. Freire, N. Wex, T. M. Tauris, R. S. Lynch, M. H. van Kerkwijk, M. Kramer, C. Bassa, V. S. Dhillon, T. Driebe, J. W. T. Hessels, V. M. Kaspi, V. I. Kondratiev, N. Langer, T. R. Marsh, M. A. McLaughlin, T. T. Pennucci, S. M. Ransom, I. H. Stairs, J. van Leeuwen, J. P. W. Verbiest, and D. G. Whelan, Science 340 (2013), 10.1126/science.1233232.
H. T. Cromartie, E. Fonseca, S. M. Ransom, P. B. Demorest, Z. Arzoumanian, H. Blumer, P. R. Brook, M. E. DeCesar, T. Dolch, J. A. Ellis, R. D. Ferdman, E. C. Ferrara, N. Garver-Daniels, P. A. Gentile, M. L. Jones, M. T. Lam, D. R. Lorimer, R. S. Lynch, M. A. McLaughlin, C. Ng, D. J. Nice, T. T. Pennucci, R. Spiewak, I. H. Stairs, K. Stovall, J. K.Swiggum, and W. W. Zhu, Nature Astronomy 4, 72–76 (2019).
E. Fonseca, H. T. Cromartie, T. T. Pennucci, P. S. Ray, A. Y. Kirichenko, S. M. Ransom, P. B. Demorest, I. H. Stairs, Z. Arzoumanian, L. Guillemot, A. Parthasarathy, M. Kerr, I. Cognard, P. T. Baker, H. Blumer, P. R. Brook, M. DeCesar, T. Dolch, F. A. Dong, E. C. Ferrara, W. Fiore, N. Garver-Daniels, D. C. Good, R. Jennings, M. L. Jones, V. M. Kaspi, M. T. Lam, D. R. Lorimer, J. Luo, A. McEwen, J. W. McKee, M. A. McLaughlin, N. McMann, B. W. Meyers, A. Naidu, C. Ng, D. J. Nice, N. Pol, H. A. Radovan, B. Shapiro-Albert, C. M. Tan, S. P. Tendulkar, J. K. Swiggum, H. M. Wahl, and W. W. Zhu, The Astrophysical Journal Letters 915, L12 (2021).
K. R. Lang, Astrophysical Formulae. A Compendium for the Physicist and Astro- physicist , Vol. 820 (Berlin ; New York : Springer-Verlag, 1980).
W. W. H. H. T. H. Ritter, Cox and Giuli’s Principles of Stellar Structure (Cambridge Scientific Publishers, 2004).
Vikiaris M., Numerical solutions of the T-O-V equations with the power-series method (2020).
J. S. Read, B. D. Lackey, B. J. Owen, and J. L. Friedman, Physical Review D 79 (2009), 10.1103/physrevd.79.124032.
S. B., A First Course in General Relativity (Cambridge University Press, 2009).
