New Class of Heintzmann Exact Solution in General Relativity for an Isotropic Charged Stellar Model

A. H. M. Mahbubur Rahman; Md. Rubayet Rahman

doi:doi:10.11648/j.ajmp.20170601.13

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New Class of Heintzmann Exact Solution in General Relativity for an Isotropic Charged Stellar Model

A. H. M. Mahbubur Rahman, Md. Rubayet Rahman

Published in American Journal of Modern Physics (Volume 6, Issue 1)

Received: 27 January 2017 Accepted: 13 February 2017 Published: 7 March 2017

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Abstract

Exact solution for spherically symmetric isotropic charged fluid sphere are investigated relativistic model of an electrically charged compact star, and energy density associated with the electric fluids is on the same order of magnitude as the energy density of fluid matter itself. The analytic solution depicts a unique static charged configuration of quark matter with radius R~9 km and total mass M~2.5M_⊙. And try to inspect the velocity of sound approximately 1/√3 which is similar to the attitude of SQM (Strange Quark matter). Adiabatic index conform the stability of star if the adiabatic index is less than 4/3. Based on an analytic model in the recent work, the applicable values of physical quantities have been calculated by accepting the estimated masses and radii of some well-known strange star candidates like PSR J1903+327, Her X-1, Cen X-3, EXO 1785-248.

Published in	American Journal of Modern Physics (Volume 6, Issue 1)
DOI	10.11648/j.ajmp.20170601.13
Page(s)	16-22
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), 2017. Published by Science Publishing Group

Keywords

Exact Solution, Einstein – Maxwell, Reissner – Nordström, Relativistic Astrophysics, Compact Star, Equation of State

References

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A. H. M. Mahbubur Rahman, Md. Rubayet Rahman. (2017). New Class of Heintzmann Exact Solution in General Relativity for an Isotropic Charged Stellar Model. American Journal of Modern Physics, 6(1), 16-22. https://doi.org/10.11648/j.ajmp.20170601.13

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ACS Style

A. H. M. Mahbubur Rahman; Md. Rubayet Rahman. New Class of Heintzmann Exact Solution in General Relativity for an Isotropic Charged Stellar Model. Am. J. Mod. Phys. 2017, 6(1), 16-22. doi: 10.11648/j.ajmp.20170601.13

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AMA Style

A. H. M. Mahbubur Rahman, Md. Rubayet Rahman. New Class of Heintzmann Exact Solution in General Relativity for an Isotropic Charged Stellar Model. Am J Mod Phys. 2017;6(1):16-22. doi: 10.11648/j.ajmp.20170601.13

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@article{10.11648/j.ajmp.20170601.13,
  author = {A. H. M. Mahbubur Rahman and Md. Rubayet Rahman},
  title = {New Class of Heintzmann Exact Solution in General Relativity for an Isotropic Charged Stellar Model},
  journal = {American Journal of Modern Physics},
  volume = {6},
  number = {1},
  pages = {16-22},
  doi = {10.11648/j.ajmp.20170601.13},
  url = {https://doi.org/10.11648/j.ajmp.20170601.13},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajmp.20170601.13},
  abstract = {Exact solution for spherically symmetric isotropic charged fluid sphere are investigated relativistic model of an electrically charged compact star, and energy density associated with the electric fluids is on the same order of magnitude as the energy density of fluid matter itself. The analytic solution depicts a unique static charged configuration of quark matter with radius R~9 km and total mass M~2.5M⊙. And try to inspect the velocity of sound approximately 1/√3 which is similar to the attitude of SQM (Strange Quark matter). Adiabatic index conform the stability of star if the adiabatic index is less than 4/3. Based on an analytic model in the recent work, the applicable values of physical quantities have been calculated by accepting the estimated masses and radii of some well-known strange star candidates like PSR J1903+327, Her X-1, Cen X-3, EXO 1785-248.},
 year = {2017}
}

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TY  - JOUR
T1  - New Class of Heintzmann Exact Solution in General Relativity for an Isotropic Charged Stellar Model
AU  - A. H. M. Mahbubur Rahman
AU  - Md. Rubayet Rahman
Y1  - 2017/03/07
PY  - 2017
N1  - https://doi.org/10.11648/j.ajmp.20170601.13
DO  - 10.11648/j.ajmp.20170601.13
T2  - American Journal of Modern Physics
JF  - American Journal of Modern Physics
JO  - American Journal of Modern Physics
SP  - 16
EP  - 22
PB  - Science Publishing Group
SN  - 2326-8891
UR  - https://doi.org/10.11648/j.ajmp.20170601.13
AB  - Exact solution for spherically symmetric isotropic charged fluid sphere are investigated relativistic model of an electrically charged compact star, and energy density associated with the electric fluids is on the same order of magnitude as the energy density of fluid matter itself. The analytic solution depicts a unique static charged configuration of quark matter with radius R~9 km and total mass M~2.5M⊙. And try to inspect the velocity of sound approximately 1/√3 which is similar to the attitude of SQM (Strange Quark matter). Adiabatic index conform the stability of star if the adiabatic index is less than 4/3. Based on an analytic model in the recent work, the applicable values of physical quantities have been calculated by accepting the estimated masses and radii of some well-known strange star candidates like PSR J1903+327, Her X-1, Cen X-3, EXO 1785-248.
VL  - 6
IS  - 1
ER  -

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Author Information

A. H. M. Mahbubur Rahman

Department of Mathematics and Natural Sciences, BRAC University, Dhaka, Bangladesh
Md. Rubayet Rahman

Science and Math Program, Asian University for Women, Chittagong, Bangladesh

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APA Style

A. H. M. Mahbubur Rahman, Md. Rubayet Rahman. (2017). New Class of Heintzmann Exact Solution in General Relativity for an Isotropic Charged Stellar Model. American Journal of Modern Physics, 6(1), 16-22. https://doi.org/10.11648/j.ajmp.20170601.13

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ACS Style

A. H. M. Mahbubur Rahman; Md. Rubayet Rahman. New Class of Heintzmann Exact Solution in General Relativity for an Isotropic Charged Stellar Model. Am. J. Mod. Phys. 2017, 6(1), 16-22. doi: 10.11648/j.ajmp.20170601.13

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AMA Style

A. H. M. Mahbubur Rahman, Md. Rubayet Rahman. New Class of Heintzmann Exact Solution in General Relativity for an Isotropic Charged Stellar Model. Am J Mod Phys. 2017;6(1):16-22. doi: 10.11648/j.ajmp.20170601.13

Copy | Download

@article{10.11648/j.ajmp.20170601.13,
  author = {A. H. M. Mahbubur Rahman and Md. Rubayet Rahman},
  title = {New Class of Heintzmann Exact Solution in General Relativity for an Isotropic Charged Stellar Model},
  journal = {American Journal of Modern Physics},
  volume = {6},
  number = {1},
  pages = {16-22},
  doi = {10.11648/j.ajmp.20170601.13},
  url = {https://doi.org/10.11648/j.ajmp.20170601.13},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajmp.20170601.13},
  abstract = {Exact solution for spherically symmetric isotropic charged fluid sphere are investigated relativistic model of an electrically charged compact star, and energy density associated with the electric fluids is on the same order of magnitude as the energy density of fluid matter itself. The analytic solution depicts a unique static charged configuration of quark matter with radius R~9 km and total mass M~2.5M⊙. And try to inspect the velocity of sound approximately 1/√3 which is similar to the attitude of SQM (Strange Quark matter). Adiabatic index conform the stability of star if the adiabatic index is less than 4/3. Based on an analytic model in the recent work, the applicable values of physical quantities have been calculated by accepting the estimated masses and radii of some well-known strange star candidates like PSR J1903+327, Her X-1, Cen X-3, EXO 1785-248.},
 year = {2017}
}

Copy | Download

TY  - JOUR
T1  - New Class of Heintzmann Exact Solution in General Relativity for an Isotropic Charged Stellar Model
AU  - A. H. M. Mahbubur Rahman
AU  - Md. Rubayet Rahman
Y1  - 2017/03/07
PY  - 2017
N1  - https://doi.org/10.11648/j.ajmp.20170601.13
DO  - 10.11648/j.ajmp.20170601.13
T2  - American Journal of Modern Physics
JF  - American Journal of Modern Physics
JO  - American Journal of Modern Physics
SP  - 16
EP  - 22
PB  - Science Publishing Group
SN  - 2326-8891
UR  - https://doi.org/10.11648/j.ajmp.20170601.13
AB  - Exact solution for spherically symmetric isotropic charged fluid sphere are investigated relativistic model of an electrically charged compact star, and energy density associated with the electric fluids is on the same order of magnitude as the energy density of fluid matter itself. The analytic solution depicts a unique static charged configuration of quark matter with radius R~9 km and total mass M~2.5M⊙. And try to inspect the velocity of sound approximately 1/√3 which is similar to the attitude of SQM (Strange Quark matter). Adiabatic index conform the stability of star if the adiabatic index is less than 4/3. Based on an analytic model in the recent work, the applicable values of physical quantities have been calculated by accepting the estimated masses and radii of some well-known strange star candidates like PSR J1903+327, Her X-1, Cen X-3, EXO 1785-248.
VL  - 6
IS  - 1
ER  -

Copy | Download