Analytical Model for Charged Polytropic Stars with Van Der Waals Modified Equation of State
American Journal of Astronomy and Astrophysics
Volume 1, Issue 4, November 2013, Pages: 41-46
Received: Sep. 30, 2013; Published: Nov. 30, 2013
Views 2306      Downloads 97
Author
Manuel Malaver, Universidad Marítima del Caribe, Departamento de Ciencias Básicas, Catia la Mar, Venezuela
Article Tools
PDF
Follow on us
Abstract
We extend the work of Mafa Takisa and Maharaj (2013) by considering Van der Waals modified equation of state with polytropic exponent for anisotropic matter distribution in the study of a compact relativistic objects. New exact solutions for Einstein-Maxwell equations are generated in terms of elementary functions. The behaviour of physical variables as energy density, charge density and radial pressure is consistent with seminal treatments which suggest relevance in the description of relativistic compact stars.
Keywords
Compact Relativistic Objets, Van Der Waals Modified Equation of State, Energy Density, Radial Pressure
To cite this article
Manuel Malaver, Analytical Model for Charged Polytropic Stars with Van Der Waals Modified Equation of State, American Journal of Astronomy and Astrophysics. Vol. 1, No. 4, 2013, pp. 41-46. doi: 10.11648/j.ajaa.20130104.11
References
[1]
P.K. Kuhfitting, "Some remarks on exact wormhole solutions", Adv. Stud. Theor. Phys., Vol. 5, pp. 365-367, June 2011.
[2]
J. Bicak, "Einstein equations: exact solutions", Encyclopedia of Mathematical Physics, Vol. 2, pp.165-173, April 2006.
[3]
M. Malaver, "Black Holes, Wormholes and Dark Energy Stars in General Relativity", Lambert Academic Publishing, Saarbrücken, 2013.
[4]
K. Komathiraj and S.D.Maharaj, "Classes of exact Einstein-Maxwell solutions", Gen. Rel.Grav., Vol. 39, pp. 2079-2093, August 2008.
[5]
R. Sharma, S. Mukherjee and S.D. Maharaj, "General solution for a class of static charged stars", Gen.Rel. Grav., Vol. 33, pp. 999-110, June 2001.
[6]
K. Schwarzschild, "Über das Gravitationsfeld einer Kugel aus inkompressibler Flüssigkeit", Math.Phys.Tech, pp. 424-434, 1916.
[7]
R.C.Tolman, "Static Solutions of Einstein's Field Equations for Spheres of Fluid", Phys. Rev., Vol. 55, pp.364-373, february1939.
[8]
J.R. Oppenheimer and G. Volkoff, "On massive neutron cores", Phys. Rev., Vol.55, pp. 374-381, February 1939.
[9]
S.Chandrasekhar, "Mass of Ideal White Dwarfs", Astrophys. J., Vol.74, pp. 81-82, January 1931.
[10]
W.Baade and F. Zwicky, "Cosmic Rays from Super-Novae", Proc. Nat.Acad.Sci.U.S., Vol. (20), pp. 259-263, May 1934.
[11]
L.K. Patel and S.K. Koppar, "A charged analogue of the Vaidya-Tikekar solution", Aust. J. Phys, Vol 40, April 1987.
[12]
R. Tikekar and G.P. Singh, "Gravitation and Cosmology", 4, 294.
[13]
T. Feroze and A. Siddiqui, "Charged anisotropic matter with quadratic equation of state", Gen. Rel. Grav., Vol. 43, pp. 1025-1035, April 2011.
[14]
M. Malaver, "Regular model for a quark star with Van der Waals modified equation of state", World Applied Programming., Vol. 3, pp. 309-313, July 2013.
[15]
P.Mafa Takisa and S.D. Maharaj, "Some charged polytropic models", Gen.Rel.Grav., Vol. 45, pp. 1951-1969, October 2013.
[16]
K. Komathiraj, K. and S.D. Maharaj, "Analytical models for quark stars" , Int.J.Mod. Phys., Vol. D16, pp. 1803-1811, November 2007.
[17]
M. Malaver, "Análisis comparativo de algunos modelos analíticos para estrellas de quarks", Revista Integración, Vol. 27, pp. 125-133, July 2009.
[18]
I. Bombaci, "Observational evidence for strange matter in compact objects from the x- ray burster 4U 1820-30", Phys. Rev, Vol. C55, pp. 1587-1590, March 1997.
[19]
S. Thirukkanesh and S.D. Maharaj, "Charged anisotropic matter with linear equation of state", Class. Quantum Gravity, Vol. 25, 235001, November 2008.
[20]
M. Dey, I. Bombaci, J. Dey, S, Ray and B.C. Samanta, " Strange stars with realistic quark vector interaction and phenomenological density-dependent scalar potential ", Phys. Lett, Vol. B438, pp. 123-128, October 1998.
[21]
V.V. Usov, "Electric fields at the quark surface of strange stars in the color-flavor locked phase", Phys.Rev, Vol. D70, 067301.
[22]
S. Thirukkanesh and F.C. Ragel, "A class of exact strange quark star model", Pramana J.Phys, Vol. 81, pp.275-286, August 2013.
[23]
M.K. Mak and T. Harko, "Quark stars admitting a one-parameter group of conformal motions", Int.J.Mod.Phys, Vol. D13, pp. 149-156, January 2004.
[24]
M. Esculpi and E, Alomá, "Conformal anisotropic relativistic charged fluid spheres with a linear equation of state ", European Physical Journal, Vol. C67, pp. 521-532, June 2010.
ADDRESS
Science Publishing Group
1 Rockefeller Plaza,
10th and 11th Floors,
New York, NY 10020
U.S.A.
Tel: (001)347-983-5186