Analytical Model for Charged Polytropic Stars with Van Der Waals Modified Equation of State

Manuel Malaver

doi:doi:10.11648/j.ajaa.20130104.11

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Analytical Model for Charged Polytropic Stars with Van Der Waals Modified Equation of State

Manuel Malaver

Published in American Journal of Astronomy and Astrophysics (Volume 1, Issue 4)

Received: 30 September 2013 Accepted: Published: 30 November 2013

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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.

Published in	American Journal of Astronomy and Astrophysics (Volume 1, Issue 4)
DOI	10.11648/j.ajaa.20130104.11
Page(s)	41-46
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Compact Relativistic Objets, Van Der Waals Modified Equation of State, Energy Density, Radial Pressure

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.

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Manuel Malaver. (2013). Analytical Model for Charged Polytropic Stars with Van Der Waals Modified Equation of State. American Journal of Astronomy and Astrophysics, 1(4), 41-46. https://doi.org/10.11648/j.ajaa.20130104.11

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ACS Style

Manuel Malaver. Analytical Model for Charged Polytropic Stars with Van Der Waals Modified Equation of State. Am. J. Astron. Astrophys. 2013, 1(4), 41-46. doi: 10.11648/j.ajaa.20130104.11

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AMA Style

Manuel Malaver. Analytical Model for Charged Polytropic Stars with Van Der Waals Modified Equation of State. Am J Astron Astrophys. 2013;1(4):41-46. doi: 10.11648/j.ajaa.20130104.11

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@article{10.11648/j.ajaa.20130104.11,
  author = {Manuel Malaver},
  title = {Analytical Model for Charged Polytropic Stars with Van Der Waals Modified Equation of State},
  journal = {American Journal of Astronomy and Astrophysics},
  volume = {1},
  number = {4},
  pages = {41-46},
  doi = {10.11648/j.ajaa.20130104.11},
  url = {https://doi.org/10.11648/j.ajaa.20130104.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajaa.20130104.11},
  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.},
 year = {2013}
}

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TY  - JOUR
T1  - Analytical Model for Charged Polytropic Stars with Van Der Waals Modified Equation of State
AU  - Manuel Malaver
Y1  - 2013/11/30
PY  - 2013
N1  - https://doi.org/10.11648/j.ajaa.20130104.11
DO  - 10.11648/j.ajaa.20130104.11
T2  - American Journal of Astronomy and Astrophysics
JF  - American Journal of Astronomy and Astrophysics
JO  - American Journal of Astronomy and Astrophysics
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EP  - 46
PB  - Science Publishing Group
SN  - 2376-4686
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AB  - 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.
VL  - 1
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Author Information

Manuel Malaver

Universidad Marítima del Caribe, Departamento de Ciencias Básicas, Catia la Mar, Venezuela

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Manuel Malaver. (2013). Analytical Model for Charged Polytropic Stars with Van Der Waals Modified Equation of State. American Journal of Astronomy and Astrophysics, 1(4), 41-46. https://doi.org/10.11648/j.ajaa.20130104.11

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ACS Style

Manuel Malaver. Analytical Model for Charged Polytropic Stars with Van Der Waals Modified Equation of State. Am. J. Astron. Astrophys. 2013, 1(4), 41-46. doi: 10.11648/j.ajaa.20130104.11

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AMA Style

Manuel Malaver. Analytical Model for Charged Polytropic Stars with Van Der Waals Modified Equation of State. Am J Astron Astrophys. 2013;1(4):41-46. doi: 10.11648/j.ajaa.20130104.11

Copy | Download

@article{10.11648/j.ajaa.20130104.11,
  author = {Manuel Malaver},
  title = {Analytical Model for Charged Polytropic Stars with Van Der Waals Modified Equation of State},
  journal = {American Journal of Astronomy and Astrophysics},
  volume = {1},
  number = {4},
  pages = {41-46},
  doi = {10.11648/j.ajaa.20130104.11},
  url = {https://doi.org/10.11648/j.ajaa.20130104.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajaa.20130104.11},
  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.},
 year = {2013}
}

Copy | Download

TY  - JOUR
T1  - Analytical Model for Charged Polytropic Stars with Van Der Waals Modified Equation of State
AU  - Manuel Malaver
Y1  - 2013/11/30
PY  - 2013
N1  - https://doi.org/10.11648/j.ajaa.20130104.11
DO  - 10.11648/j.ajaa.20130104.11
T2  - American Journal of Astronomy and Astrophysics
JF  - American Journal of Astronomy and Astrophysics
JO  - American Journal of Astronomy and Astrophysics
SP  - 41
EP  - 46
PB  - Science Publishing Group
SN  - 2376-4686
UR  - https://doi.org/10.11648/j.ajaa.20130104.11
AB  - 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.
VL  - 1
IS  - 4
ER  -

Copy | Download