Analytical Models for Quark Stars with Van Der Waals Modified Equation of State

Manuel Malaver; Hamed Daei Kasmaei

doi:doi:10.11648/j.ijass.20190705.11

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Analytical Models for Quark Stars with Van Der Waals Modified Equation of State

Manuel Malaver, Hamed Daei Kasmaei

Published in International Journal of Astrophysics and Space Science (Volume 7, Issue 5)

Received: 7 September 2019 Accepted: 15 October 2019 Published: 24 October 2019

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Abstract

Stellar models consisting of spherically symmetric distribution of charged matter locally anisotropic in strong gravitational fields have been widely considered in the frame of general relativity. These investigations require the generation of exact models through the resolution of the Einstein-Maxwell system of equations. The presence of charge produces values for redshifts, luminosity and mass for the stars different in relation to neutral matter. Some applications for dense charged matter we have them in the description of quark stars, spheres with linear or non-linear equation of state, hybrid stars and accreting process in compact objects where the matter acquires large amounts of electric charge. In this paper, we studied the behavior of relativistic compact objects with anisotropic matter distribution considering Van der Waals modified equation of state proposed in 2013 for Malaver and a gravitational potential Z(x) that depends on an adjustable parameter α in order to integrate analytically the field equations. They generalize the ideal gas law based on plausible reasons that real gases do not act ideally. New exact solutions of the Einstein-Maxwell system are generated and the physical variables as the energy density, radial pressure, mass function, anisotropy factor and the metric functions are written in terms of elementary and polynomial functions. We obtained expressions for radial pressure, density and mass of the stellar object physically acceptable with two different values of the adjustable parameter. The proposed models satisfy all physical features of a realistic star.

Published in	International Journal of Astrophysics and Space Science (Volume 7, Issue 5) This article belongs to the Special Issue Modelling and Simulation of Magnetars and Stellar Objects
DOI	10.11648/j.ijass.20190705.11
Page(s)	49-58
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), 2019. Published by Science Publishing Group

Keywords

Relativistic Compact Objects, Gravitational Potential, Einstein-Maxwell System, Radial Pressure, Anisotropy Factor, Matter Distribution, General Relativity, Einstein Field Equations

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APA Style

Manuel Malaver, Hamed Daei Kasmaei. (2019). Analytical Models for Quark Stars with Van Der Waals Modified Equation of State. International Journal of Astrophysics and Space Science, 7(5), 49-58. https://doi.org/10.11648/j.ijass.20190705.11

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ACS Style

Manuel Malaver; Hamed Daei Kasmaei. Analytical Models for Quark Stars with Van Der Waals Modified Equation of State. Int. J. Astrophys. Space Sci. 2019, 7(5), 49-58. doi: 10.11648/j.ijass.20190705.11

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AMA Style

Manuel Malaver, Hamed Daei Kasmaei. Analytical Models for Quark Stars with Van Der Waals Modified Equation of State. Int J Astrophys Space Sci. 2019;7(5):49-58. doi: 10.11648/j.ijass.20190705.11

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@article{10.11648/j.ijass.20190705.11,
  author = {Manuel Malaver and Hamed Daei Kasmaei},
  title = {Analytical Models for Quark Stars with Van Der Waals Modified Equation of State},
  journal = {International Journal of Astrophysics and Space Science},
  volume = {7},
  number = {5},
  pages = {49-58},
  doi = {10.11648/j.ijass.20190705.11},
  url = {https://doi.org/10.11648/j.ijass.20190705.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijass.20190705.11},
  abstract = {Stellar models consisting of spherically symmetric distribution of charged matter locally anisotropic in strong gravitational fields have been widely considered in the frame of general relativity. These investigations require the generation of exact models through the resolution of the Einstein-Maxwell system of equations. The presence of charge produces values for redshifts, luminosity and mass for the stars different in relation to neutral matter. Some applications for dense charged matter we have them in the description of quark stars, spheres with linear or non-linear equation of state, hybrid stars and accreting process in compact objects where the matter acquires large amounts of electric charge. In this paper, we studied the behavior of relativistic compact objects with anisotropic matter distribution considering Van der Waals modified equation of state proposed in 2013 for Malaver and a gravitational potential Z(x) that depends on an adjustable parameter α in order to integrate analytically the field equations. They generalize the ideal gas law based on plausible reasons that real gases do not act ideally. New exact solutions of the Einstein-Maxwell system are generated and the physical variables as the energy density, radial pressure, mass function, anisotropy factor and the metric functions are written in terms of elementary and polynomial functions. We obtained expressions for radial pressure, density and mass of the stellar object physically acceptable with two different values of the adjustable parameter. The proposed models satisfy all physical features of a realistic star.},
 year = {2019}
}

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TY  - JOUR
T1  - Analytical Models for Quark Stars with Van Der Waals Modified Equation of State
AU  - Manuel Malaver
AU  - Hamed Daei Kasmaei
Y1  - 2019/10/24
PY  - 2019
N1  - https://doi.org/10.11648/j.ijass.20190705.11
DO  - 10.11648/j.ijass.20190705.11
T2  - International Journal of Astrophysics and Space Science
JF  - International Journal of Astrophysics and Space Science
JO  - International Journal of Astrophysics and Space Science
SP  - 49
EP  - 58
PB  - Science Publishing Group
SN  - 2376-7022
UR  - https://doi.org/10.11648/j.ijass.20190705.11
AB  - Stellar models consisting of spherically symmetric distribution of charged matter locally anisotropic in strong gravitational fields have been widely considered in the frame of general relativity. These investigations require the generation of exact models through the resolution of the Einstein-Maxwell system of equations. The presence of charge produces values for redshifts, luminosity and mass for the stars different in relation to neutral matter. Some applications for dense charged matter we have them in the description of quark stars, spheres with linear or non-linear equation of state, hybrid stars and accreting process in compact objects where the matter acquires large amounts of electric charge. In this paper, we studied the behavior of relativistic compact objects with anisotropic matter distribution considering Van der Waals modified equation of state proposed in 2013 for Malaver and a gravitational potential Z(x) that depends on an adjustable parameter α in order to integrate analytically the field equations. They generalize the ideal gas law based on plausible reasons that real gases do not act ideally. New exact solutions of the Einstein-Maxwell system are generated and the physical variables as the energy density, radial pressure, mass function, anisotropy factor and the metric functions are written in terms of elementary and polynomial functions. We obtained expressions for radial pressure, density and mass of the stellar object physically acceptable with two different values of the adjustable parameter. The proposed models satisfy all physical features of a realistic star.
VL  - 7
IS  - 5
ER  -

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Author Information

Manuel Malaver

Bijective Physics Group, Bijective Physics Institute, Idrija, Slovenia
Hamed Daei Kasmaei

Department of Applied Mathematics, Islamic Azad University-Central Tehran Branch, Tehran, Iran

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Plain Text BibTeX RIS

APA Style

Manuel Malaver, Hamed Daei Kasmaei. (2019). Analytical Models for Quark Stars with Van Der Waals Modified Equation of State. International Journal of Astrophysics and Space Science, 7(5), 49-58. https://doi.org/10.11648/j.ijass.20190705.11

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ACS Style

Manuel Malaver; Hamed Daei Kasmaei. Analytical Models for Quark Stars with Van Der Waals Modified Equation of State. Int. J. Astrophys. Space Sci. 2019, 7(5), 49-58. doi: 10.11648/j.ijass.20190705.11

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AMA Style

Manuel Malaver, Hamed Daei Kasmaei. Analytical Models for Quark Stars with Van Der Waals Modified Equation of State. Int J Astrophys Space Sci. 2019;7(5):49-58. doi: 10.11648/j.ijass.20190705.11

Copy | Download

@article{10.11648/j.ijass.20190705.11,
  author = {Manuel Malaver and Hamed Daei Kasmaei},
  title = {Analytical Models for Quark Stars with Van Der Waals Modified Equation of State},
  journal = {International Journal of Astrophysics and Space Science},
  volume = {7},
  number = {5},
  pages = {49-58},
  doi = {10.11648/j.ijass.20190705.11},
  url = {https://doi.org/10.11648/j.ijass.20190705.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijass.20190705.11},
  abstract = {Stellar models consisting of spherically symmetric distribution of charged matter locally anisotropic in strong gravitational fields have been widely considered in the frame of general relativity. These investigations require the generation of exact models through the resolution of the Einstein-Maxwell system of equations. The presence of charge produces values for redshifts, luminosity and mass for the stars different in relation to neutral matter. Some applications for dense charged matter we have them in the description of quark stars, spheres with linear or non-linear equation of state, hybrid stars and accreting process in compact objects where the matter acquires large amounts of electric charge. In this paper, we studied the behavior of relativistic compact objects with anisotropic matter distribution considering Van der Waals modified equation of state proposed in 2013 for Malaver and a gravitational potential Z(x) that depends on an adjustable parameter α in order to integrate analytically the field equations. They generalize the ideal gas law based on plausible reasons that real gases do not act ideally. New exact solutions of the Einstein-Maxwell system are generated and the physical variables as the energy density, radial pressure, mass function, anisotropy factor and the metric functions are written in terms of elementary and polynomial functions. We obtained expressions for radial pressure, density and mass of the stellar object physically acceptable with two different values of the adjustable parameter. The proposed models satisfy all physical features of a realistic star.},
 year = {2019}
}

Copy | Download

TY  - JOUR
T1  - Analytical Models for Quark Stars with Van Der Waals Modified Equation of State
AU  - Manuel Malaver
AU  - Hamed Daei Kasmaei
Y1  - 2019/10/24
PY  - 2019
N1  - https://doi.org/10.11648/j.ijass.20190705.11
DO  - 10.11648/j.ijass.20190705.11
T2  - International Journal of Astrophysics and Space Science
JF  - International Journal of Astrophysics and Space Science
JO  - International Journal of Astrophysics and Space Science
SP  - 49
EP  - 58
PB  - Science Publishing Group
SN  - 2376-7022
UR  - https://doi.org/10.11648/j.ijass.20190705.11
AB  - Stellar models consisting of spherically symmetric distribution of charged matter locally anisotropic in strong gravitational fields have been widely considered in the frame of general relativity. These investigations require the generation of exact models through the resolution of the Einstein-Maxwell system of equations. The presence of charge produces values for redshifts, luminosity and mass for the stars different in relation to neutral matter. Some applications for dense charged matter we have them in the description of quark stars, spheres with linear or non-linear equation of state, hybrid stars and accreting process in compact objects where the matter acquires large amounts of electric charge. In this paper, we studied the behavior of relativistic compact objects with anisotropic matter distribution considering Van der Waals modified equation of state proposed in 2013 for Malaver and a gravitational potential Z(x) that depends on an adjustable parameter α in order to integrate analytically the field equations. They generalize the ideal gas law based on plausible reasons that real gases do not act ideally. New exact solutions of the Einstein-Maxwell system are generated and the physical variables as the energy density, radial pressure, mass function, anisotropy factor and the metric functions are written in terms of elementary and polynomial functions. We obtained expressions for radial pressure, density and mass of the stellar object physically acceptable with two different values of the adjustable parameter. The proposed models satisfy all physical features of a realistic star.
VL  - 7
IS  - 5
ER  -

Copy | Download