Some new models of anisotropic compact stars with quadratic equation of state

• Authors: Manuel Malaver
• Languages of publication: EN

Abstracts

EN

In this paper, we studied the behavior of relativistic objects with anisotropic charged matter distribution considering a prescribed form for the gravitational potential Z(x) which depends on an adjustable parameter n. The equation of state presents a quadratic relation between the energy density and the radial pressure. New exact solutions of the Einstein-Maxwell system are generated. A physical analysis of electromagnetic field indicates that is regular in the origin and well behaved. We show as a variation of the adjustable parameter n causes a modification in the charge density, the radial pressure and the mass of the stellar object.

Keywords

EN

Adjustable parameter; Einstein-Maxwell system; Electromagnetic field; Exact solutions; Gravitational potential; Relativistic objects

Discipline

• PHYSICS: PHYSICS

• Publisher: Scientific Publishing House „DARWIN”
• Journal: World Scientific News
• Year: 2018
• Volume: 109
• Pages: 180-194

Contributors

author

Manuel Malaver

• Maritime University of the Caribbean, Department of Basic Sciences, Catia la Mar, Venezuela

References

• [1] Kuhfitting, P.K. Some remarks on exact wormhole solutions, Adv. Stud. Theor. Phys. (2011) 5, 365-367
• [2] Bicak, J. Einstein equations: exact solutions, Encyclopedia of Mathematical Physics (2006), 2, 165-173.
• [3] Malaver, M. (2013). Black Holes, Wormholes and Dark Energy Stars in General Relativity. Lambert Academic Publishing, Berlin. ISBN: 978-3-659-34784-9.
• [4] Tolman, R.C. Static solutions of Einstein's Field Equations for spheres of fluid, Phys Rev (1939), 55, 364-373.
• [5] Oppenheimer, J.R. and Volkoff, G. On massive neutron cores, Phys. Rev. (1939), 55, 374-381.
• [6] Komathiraj, K. and Maharaj, S.D. Int. J. Mod. Phys (2007), D16, pp. 1803-1811.
• [7] Malaver, M. Revista Integración (2009), 27(2), 125-133.
• [8] Malaver, M. AASCIT Communications (2014), 1, 48-51.
• [9] Thirukkanesh, S. and Maharaj, S.D. Charged anisotropic matter with linear equation of state, Class. Quantum Gravity (2008), 25, 235001.
• [10] Maharaj,S.D, Sunzu, J.M and Ray, S. Eur Phys. J. Plus (2014), 129, 3.
• [11] Thirukkanesh, S. and Ragel, F.C. PRAMANA - Journal of physics (2013), 81(2), 275-286.
• [12] Sunzu, J.M, Maharaj, S.D and Ray, S. Astrophysics Space Sci (2014), 354, 517-524.
• [13] Haensel, P, Zdunik, J.L and. Schaefer, R. Astrophys. J. (1986), 160, 121.
• [14] Alcock, C, Farhi, E. and Olinto, A. Astrophys. J. (1986), 310, 261.
• [15] Ruderman, R. A. Rev. Astr. Astrophys (1972), 10, 427.C
• [16] Canuto, V. Annual Review of Astronomy and Astrophysics (1974), 12, 167.
• [17] Canuto, V. Annual Review of Astronomy and Astrophysics (1975), 13, 335.
• [18] Canuto, V. Annals of the New York Academy of Sciences (1977), 302, 514.
• [19] Bowers, R.L and Liang, E.P.T. Astrophys. J. (1974), 188, 657.
• [20] Cosenza, M., Herrera, L., Esculpi, M and Witten, L. J. Math. Phys (1981) 22, 118.
• [21] Cosenza, M., Herrera, L., M. Esculpi, L. Witten, Phys. Rev. D 25, 2527 (1982).
• [22] Bayin, S.S. Phys. Rev. (1982), D 26, 1262 .
• [23] Krori, K.D., Borgohaiann, P. and Devi, R. Can. J. Phys (1984), 62, 239.
• [24] Herrera, L. and Ponce de León, J. J. Math. Phys (1985) 26, 2302.
• [25] Herrera, L., Prisco, A.D., Ospino, J and Fuenmayor. E. J. Math. Phys (2001), 42, 2129
• [26] Herrera, L., Ospino, J. and Prisco, A.D. Phys. Rev. D 77 (2008), 027502 .
• [27] Dev, K. and Gleiser, M. Gen. Relativ. Gravit (2002), 34, 1793.
• [28] Dev, K. and Gleiser, M. Gen. Relativ. Gravit (2003), 35, 1435.
• [29] Ivanov, B.V. Int. J. Theor. Phys (2010), 49, 1236.
• [30] Ivanov, B.V. Eur. Phys. J. C (2017), 77(11), 738.
• [31] Mak, M.K. and Harko, T. Chin. J. Astron. Astrophys (2002) 2, 248.
• [32] Mak, M.K. and Harko, T. Proc. R. Soc. Lond (2003) A 459, 393.
• [33] Malaver, M. Frontiers of Mathematics and Its Applications (2014), 1(1), 9-15.
• [34] Malaver, M. Open Science Journal of Modern Physics (2014), 1(1), 6-11.
• [35] Malaver, M. World Scientific News (2016), 57, 70-80.
• [36] Malaver, M. American Journal of Astronomy and Astrophysics (2013), 1(4), 41-46.
• [37] Malaver, M. World Applied Programming (2013), 3, 309-313.
• [38] Malaver, M. Int. J. Modern Physics and Application (2015), 2(1), 1-6.
• [39] Pant, N., Pradhan, N. and Malaver, M. Int. J. Astrophys. Space Sci (2015) 3(1), 1-5.
• [40] Gokhroo, M.K and Mehra, A.L. Gen. Relat. Grav (1994) 26(1), 75-84.
• [41] Mak, M.K and Harko, T. Int. J. Mod. Phys, D13 (2004) 149-156.
• [42] Chaisi, M and Maharaj, S.D. Gen. Relativ. Gravit (2005) 37, 1177.
• [43] Sharma, R. and Maharaj, S.D. Mon. Not. R. Astron. Soc (2007) 375, 1265.
• [44] Varela, V., Rahaman, F., Ray, S., Chakraborty, K. and Kalam, M. Phys. Rev. (2010) D 82, 044052.
• [45] Takisa, P.M. and Maharaj, S.D. Astrophys. Space Sci (2012) 343, 569.
• [46] Rahaman, F., Sharma, R., Ray, S., Maulick, R. and Karar, I. Eur. Phys. J (2012) C 72, 2071
• [47] Kalam, M., Usmani, A.A., Rahaman, F., Hossein, S.M., Karar, I. and Sharma, R. Int. J. Theor. Phys (2013) 52, 3319.
• [48] Thirukkanesh, S. and Ragel, F.C. Pramana J. Phys (2012) 78, 687.
• [49] Thirukkanesh, S. and Ragel, F.C. Pramana J. Phys (2013) 81, 275.
• [50] Thirukkanesh, S. and Ragel, F.C. Astrophys. Space Sci (2014) 354, 415.
• [51] Ngubelanga, S.A., Maharaj, S.D. and Ray, S. Astrophys. Space Sci (2015) 357, 40.
• [52] Sunzu, J. Global Journal of Science Frontiers of Research: A. Physics and Space Science (2018), 18(2).
• [53] Thirukkanesh, S., Govender, M. and Lortan, D.B. Int. J. Mod. Phys (2015) D 24, 1550002
• [54] Bhar, P., Murad, M.H. and Pant, N. Astrophys. Space Sci (2015) 359, 13.
• [55] Murad, M.H. Astrophys. Space Sci (2016) 361, 20.
• [56] Malaver, M. Research Journal of Modeling and Simulation (2014) 1(4), 65-71
• [57] Malaver, M. Int. J. Modern Physics and Application (2016) 3(1), 6-13.
• [58] Feroze, T. and Siddiqui, A. Gen. Rel. Grav (2011), 43, 1025-1035.
• [59] Feroze, T. and Siddiqui, A. J. Korean Physical Society (2014), 65(6), 944-947.
• [60] Malaver, M. World Scientific News (2017), 86(3), 333-344.
• [61] Durgapal, M.C and Bannerji, R., Phys. Rev. (1983) D27, 328-331.
• [62] Nasim, A. and Azam, M. Eur. Phys. J.C. (2018), 78:34
• [63] Delgaty, M.S.R and Lake, K. Comput. Phys. Commun. (1998) 115, 395

• Document Type: article