Publication: Phenomenological relations for axial quasinormal modes of neutron stars with realistic equations of state
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2013-05-31
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Amer Physical Soc
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Here we investigate the axial w quasinormal modes of neutron stars for 18 realistic equations of state, most of them satisfying the 2M condition. In particular, we study the influence of the presence of hyperons and quarks in the core of the neutron stars. We have obtained that w modes can be used to distinguish between neutron stars with exotic matter and without exotic matter for compact enough stars. We present phenomenological relations for the frequency and damping times with the compactness of the neutron star for wI and wII modes showing the differences of the stars with exotic matter in the core. Also, we obtain a new phenomenological relation between the real part and the imaginary part of the frequency of the w quasinormal modes, which can be used to estimate the central pressure of the neutron stars. Finally, we study the low compactness limit configuration of fundamental wII modes, and the influence of changes in the core-crust transition pressure. To obtain these results we have developed a new method based on the exterior complex scaling technique with variable angle.
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©2013 American Physical Society.
We would like to thank I. Bednarek for kindly providing us with the EOS BHZBM, I. Sagert for EOS WSPHS1-3, A. Sedrakian for EOS BS1-4, and S. Weissenborn for EOS WCS1-2. We thank Professor Kostas D. Kokkotas for very helpful discussions concerning quasinormal modes of neutron stars and for the hospitality to J. L. B. We are very grateful to Professor Gabriel A. Galindo for his help concerning the exterior complex scaling method. We also want to thank the referees for his/her very helpful comments and suggestions. This work was supported by the Spanish Ministerio de Ciencia e Innovacion, research Project No. FIS2011- 28013. J. L. B. was supported by the Spanish Universidad Complutense de Madrid.
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[1] M. Pitkin, S. Reid, S. Rowan, and J. Hough, Living Rev. Relativity 14, 5 (2011).
[2] B. Sathyaprakash and B. F. Schutz, Living Rev. Relativity 12, 2 (2009).
[3] N. Andersson, V. Ferrari, D. Jones, K. Kokkotas, B. Krishnan, J. Read, L. Rezzolla, and B. Zink, Gen. Relativ. Gravit. 43, 409 (2011).
[4] N. Andersson and K. D. Kokkotas, Phys. Rev. Lett. 77, 4134 (1996).
[5] M. Shibata, K. Taniguchi, and K. b. o. Uryu¯, Phys. Rev. D 71, 084021 (2005).
[6] M. Shibata and K. Ury͞u, Prog. Theor. Phys. 107, 265 (2002).
[7] R. Oechslin, H.-T. Janka, and A. Marek, Astron. Astrophys. 467, 395 (2007).
[8] T. Hinderer, B. D. Lackey, R. N. Lang, and J. S. Read, Phys. Rev. D 81, 123016 (2010).
[9] J. S. Read, C. Markakis, M. Shibata, K. b. o. Uryu͞, J. D. E. Creighton, and J. L. Friedman, Phys. Rev. D 79, 124033 (2009).
[10] J. Abadie et al. (LIGO Scientific Collaboration), Phys. Rev. D 83, 042001 (2011).
[11] K. D. Kokkotas and B. Schmidt, Living Rev. Relativity 2, 2 (1999).
[12] H.-P. Nollert, Classical Quantum Gravity 16, R159 (1999).
[13] L. Rezzolla, Gravitational Waves from Perturbed Black Holes and Relativistic Stars (ICTP, Trieste, 2003).
[14] A. Haensel, P. Potekhin, and D. Yakovlev, Neutron Stars: Equation of State and Structure, Astrophysics and Space Science Library (Springer, Berlin, 2007).
[15] N. Glendenning, Compact Stars: Nuclear Physics, Particle Physics, and General Relativity, Astronomy and Astrophysics Library (Springer, Berlin, 2000).
[16] H. Heiselberg and M. Hjorth-Jensen, Phys. Rep. 328, 237 (2000).
[17] M. Prakash and J. M. Lattimer, in From Nuclei to Stars, edited by S. Lee (World Scientific, Singapore, 2011), Chap. 12, p. 275.
[18] I. Bednarek, P. Haensel, J. L. Zdunik, M. Bejger, and R. Mánka, Astron. Astrophys. 543, A157 (2012).
[19] L. Bonanno and A. Sedrakian, Astron. Astrophys. 539, A16 (2012).
[20] S. Weissenborn, D. Chatterjee, and J. Schaffner-Bielich, Phys. Rev. C 85, 065802 (2012).
[21] S. Weissenborn, I. Sagert, G. Pagliara, M. Hempel, and J. Schaffner- Bielich, Astrophys. J. Lett. 740, L14 (2011).
[22] J. S. Read, B. D. Lackey, B. J. Owen, and J. L. Friedman, Phys. Rev. D 79, 124032 (2009).
[23] L. Lindblom, Phys. Rev. D 82, 103011 (2010).
[24] O. Benhar, E. Berti, and V. Ferrari, Mon. Not. R. Astron. Soc. 310, 797 (1999).
[25] K. D. Kokkotas, T. A. Apostolatos, and N. Andersson, Mon. Not. R. Astron. Soc. 320, 307 (2001).
[26] O. Benhar, V. Ferrari, and L. Gualtieri, Phys. Rev. D 70, 124015 (2004).
[27] O. Benhar, Mod. Phys. Lett. A 20, 2335 (2005).
[28] V. Ferrari and L. Gualtieri, Gen. Relativ. Gravit. 40, 945 (2008).
[29] D. Chatterjee and D. Bandyopadhyay, Phys. Rev. D 80, 023011 (2009).
[30] D.-H. Wen, B.-A. Li, and P. G. Krastev, Phys. Rev. C 80, 025801 (2009).
[31] T. Regge and J. A. Wheeler, Phys. Rev. 108, 1063 (1957).
[32] F. J. Zerilli, Phys. Rev. Lett. 24, 737 (1970).
[33] K. Thorne and A. Campolattaro, Astrophys. J. 149, 591 (1967).
[34] R. Price and K. Thorne, Astrophys. J. 155, 163 (1969).
[35] K. Thorne, Astrophys. J. 158, 1 (1969).
[36] K. Thorne, Astrophys. J. 158, 997 (1969).
[37] A. Campolattaro and K. Thorne, Astrophys. J. 159, 847 (1970).
[38] L. Lindblom and S. L. Detweiler, Astrophys. J. Suppl. Ser. 53, 73 (1983).
[39] S. Detweiler and L. Lindblom, Astrophys. J. 292, 12 (1985).
[40] S. Chandrasekhar and V. Ferrari, Proc. R. Soc. A 432, 247 (1991).
[41] S. Chandrasekhar, V. Ferrari, and R. Winston, Proc. R. Soc. A 434, 635 (1991).
[42] S. Chandrasekhar and V. Ferrari, Proc. R. Soc. A 434, 449 (1991).
[43] Y. Kojima, Phys. Rev. D 46, 4289 (1992).
[44] N. Andersson, Y. Kojima, and K. D. Kokkotas, Astrophys. J. 462, 855 (1996).
[45] K. D. Kokkotas, Mon. Not. R. Astron. Soc. 268, 1015 (1994).
[46] K. D. Kokkotas and B. F. Schutz, Mon. Not. R. Astron. Soc. 255, 119 (1992).
[47] N. Andersson, K. D. Kokkotas, and B. F. Schutz, Mon. Not. R. Astron. Soc. 274, 9 (1995).
[48] S. Chandrasekhar and S. Detweiler, Proc. R. Soc. A 344, 441 (1975).
[49] N. Andersson, Y. Kojima, and K. D. Kokkotas, Astrophys. J. 462, 855 (1996).
[50] N. Andersson, Proc. R. Soc. A 439, 47 (1992).
[51] L. Samuelsson, N. Andersson, and A. Maniopoulou, Classical Quantum Gravity 24, 4147 (2007).
[52] E. W. Leaver, Proc. R. Soc. A 402, 285 (1985).
[53] M. Leins, H. P. Nollert, and M. H. Soffel, Phys. Rev. D 48, 3467 (1993).
[54] G. Darmois, Mémorial des Sciences Mathématiques (Gauthier-Villars, Paris, 1927), Vol. 25.
[55] A. Lichnerowicz, Théories Relativistes de la Gravitation et de l’Electromagnétism (Maison, Paris, 1955).
[56] S. O’Brien and J. L. Syngr, Comm. Dublin Inst. Adv. Stud. A 9, 1 (1952).
[57] W. Israel, Nuovo Cimento B 44, 1 (1966).
[58] M. Mars and J. M. Senovilla, Classical Quantum Gravity 10, 1865 (1993).
[59] R. Vera, Classical Quantum Gravity 19, 5249 (2002).
[60] M. Mars, Classical Quantum Gravity 22, 3325 (2005).
[61] L. M. Gonza´lez-Romero, Phys. Rev. D 67, 064011 (2003).
[62] M. A. H. MacCallum, M. Mars, and R. Vera, Phys. Rev. D 75, 024017 (2007).
[63] H. Sotani, K. Tominaga, and K.-i. Maeda, Phys. Rev. D 65, 024010 (2001).
[64] C. Misner, K. Thorne, and J. Wheeler, Gravitation, Physics Series (W. H. Freeman, New York, 1973).
[65] U. Ascher, J. Christiansen, and R. D. Russell, Math. Comput. 33, 659 (1979).
[66] J. Aguilar and J. Combes, Commun. Math. Phys. 22, 269 (1971).
[67] E. Balslev and J. Combes, Commun. Math. Phys. 22, 280 (1971).
[68] B. Simon, Commun. Math. Phys. 27, 1 (1972).
[69] G. Álvarez, R. Damburg, and H. Silverstone, Phys. Rev. A 44, 3060 (1991).
[70] F. Fritsch and R. Carlson, SIAM J. Numer. Anal. 17, 238 (1980).
[71] F. Douchin and P. Haensel, Astron. Astrophys. 380, 151 (2001).
[72] A. Akmal, V. R. Pandharipande, and D. G. Ravenhall, Phys. Rev. C 58, 1804 (1998).
[73] N. Glendenning, Astrophys. J. 293, 470 (1985).
[74] B. D. Lackey, M. Nayyar, and B. J. Owen, Phys. Rev. D 73, 024021 (2006).
[75] S. Balberg and A. Gal, Nucl. Phys. A625, 435 (1997).
[76] M. Alford, M. Braby, M. Paris, and S. Reddy, Astrophys. J. 629, 969 (2005).
[77] N. Andersson and K. D. Kokkotas, Mon. Not. R. Astron. Soc. 299, 1059 (1998).
[78] O. Benhar, E. Berti, and V. Ferrari, Mon. Not. R. Astron. Soc. 310, 797 (1999).