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The properties of rapidly rotating hybrid stars are calculated and discussed with an equation of state considering non-Newtonian gravity (described by the Yukawa contribution). The said properties include the mass-radius relationship, the Kepler rotating frequency, the moment of inertia, the gravitational redshift and the ratio of the rotational energy to the gravitational energy. It is shown that at the Kepler frequency, the maximum stellar mass increases up to about 20% compared with that from the static model at the same central density. It is also shown that for a rapidly rotating hybrid star, the rotation has an obvious influence on the bulk properties, such as the mass-radius relationship, the moment of inertia, the ratio of the rotational energy and gravitational energy, but has a faint effect on the polar gravitational redshift.
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Keywords:
- hybrid star /
- Kepler frequency /
- non-Newtonian gravity
[1] Lattimer J M, Prakash M 2007 Phys. Rep. 442 109
[2] Lattimer J M, Prakash M 2004 Science 304 536
[3] Frederick M W 2001 Astrophys. J. 433 549
[4] Demorest P, Pennucci T, Ransom S, Roberts M, Hessels J 2010 Nature 467 1081
[5] Li B A, Chen L W, Ko C M 2008 Phys. Rep. 464 113
[6] Xu J, Chen L W, Ko C M, Li B A 2010 Phys. Rev. C 81 055803
[7] Wen D H, Li B A, Chen L W 2011 arXiv: 1101.1504v1 [astro-ph.SR]
[8] Adelberger E G, Heckel B R, Nelson A E 2003 Annu. Rev. Nucl. Part. Sci. 53 77
[9] Adelberger E G, Gundlach J H, Heckel B R, Hoedl S, Schlamminger S 2009 Prog. Part. Nucl. Phys. 62 102
[10] Akmal A, Pandharipande V R, Ravenhall D G 1998 Phys. Rev. C 58 1804
[11] Arkani-Hamed N, Dimopoulos S, Dvali G 1998 Phys. Lett. B 429 263
[12] Azam M, Sami M, Unnikrishnan C S, Shiromizu T 2008 Phys. Rev. D 77 101101
[13] Wen D H, Li B A, Chen L W 2009 Phys. Rev. Lett. 103 211102
[14] Hessels J W T, Ransom S M, Stairs I H, Freire P C C, Kaspi V M, Camilo F 2006 Science 311 1901
[15] Glendenning N K 2001 Phys. Rep. 342 393
[16] Chodos A, Jaffe R L, Johnson K, Thorn C B, Weisskopf V F 1974 Phys. Rev. D 9 3471
[17] Heinz U, Subramanian P R, Stocker H, Greiner W 1986 Nucl. Phys. 12 1237
[18] Baym G, Pethick C, Sutherland P 1971 Astrophys. J. 170 299
[19] Fujii Y 1971 Nature 234 5
[20] Fujii Y 1988 Large Scale Structures of the Universe (Germany: Garching)
[21] Butterworth E M, Ipser J R 1976 Astrophys. J. 204 200
[22] Nozawa T, Stergioulas N, Gourgoulhon E, Eriguchi Y 1998 Astron. Astrophys. 132 431
[23] Komatsu H, Eriguchi Y, Hachisu I 1989 Mon. Not. R. Astron. Soc. 237 355
[24] Cook G B, Shapiro S L, Teukolsky S A 1994 Astrophys. J. 422 273
[25] Stergioulas N, Friedman J L 1995 Astrophys. J. 444 306
[26] Lattimer J M, Schutz B F 2005 Astrophys. J. 629 979
[27] Kaaret P, Prieskorn J, In't Zand J J M, Brandt S, Lund N, Mereghetti S, Gotz D, Kuulkers E, Tomsick J A 2007 Astrophys. J. 657 L97
[28] Cottam J, Paerels F, Mendez M 2002 Nature 420 51
[29] Andersson N 2003 Class. Quantum Grav. 20 R105
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[1] Lattimer J M, Prakash M 2007 Phys. Rep. 442 109
[2] Lattimer J M, Prakash M 2004 Science 304 536
[3] Frederick M W 2001 Astrophys. J. 433 549
[4] Demorest P, Pennucci T, Ransom S, Roberts M, Hessels J 2010 Nature 467 1081
[5] Li B A, Chen L W, Ko C M 2008 Phys. Rep. 464 113
[6] Xu J, Chen L W, Ko C M, Li B A 2010 Phys. Rev. C 81 055803
[7] Wen D H, Li B A, Chen L W 2011 arXiv: 1101.1504v1 [astro-ph.SR]
[8] Adelberger E G, Heckel B R, Nelson A E 2003 Annu. Rev. Nucl. Part. Sci. 53 77
[9] Adelberger E G, Gundlach J H, Heckel B R, Hoedl S, Schlamminger S 2009 Prog. Part. Nucl. Phys. 62 102
[10] Akmal A, Pandharipande V R, Ravenhall D G 1998 Phys. Rev. C 58 1804
[11] Arkani-Hamed N, Dimopoulos S, Dvali G 1998 Phys. Lett. B 429 263
[12] Azam M, Sami M, Unnikrishnan C S, Shiromizu T 2008 Phys. Rev. D 77 101101
[13] Wen D H, Li B A, Chen L W 2009 Phys. Rev. Lett. 103 211102
[14] Hessels J W T, Ransom S M, Stairs I H, Freire P C C, Kaspi V M, Camilo F 2006 Science 311 1901
[15] Glendenning N K 2001 Phys. Rep. 342 393
[16] Chodos A, Jaffe R L, Johnson K, Thorn C B, Weisskopf V F 1974 Phys. Rev. D 9 3471
[17] Heinz U, Subramanian P R, Stocker H, Greiner W 1986 Nucl. Phys. 12 1237
[18] Baym G, Pethick C, Sutherland P 1971 Astrophys. J. 170 299
[19] Fujii Y 1971 Nature 234 5
[20] Fujii Y 1988 Large Scale Structures of the Universe (Germany: Garching)
[21] Butterworth E M, Ipser J R 1976 Astrophys. J. 204 200
[22] Nozawa T, Stergioulas N, Gourgoulhon E, Eriguchi Y 1998 Astron. Astrophys. 132 431
[23] Komatsu H, Eriguchi Y, Hachisu I 1989 Mon. Not. R. Astron. Soc. 237 355
[24] Cook G B, Shapiro S L, Teukolsky S A 1994 Astrophys. J. 422 273
[25] Stergioulas N, Friedman J L 1995 Astrophys. J. 444 306
[26] Lattimer J M, Schutz B F 2005 Astrophys. J. 629 979
[27] Kaaret P, Prieskorn J, In't Zand J J M, Brandt S, Lund N, Mereghetti S, Gotz D, Kuulkers E, Tomsick J A 2007 Astrophys. J. 657 L97
[28] Cottam J, Paerels F, Mendez M 2002 Nature 420 51
[29] Andersson N 2003 Class. Quantum Grav. 20 R105
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