Well Behaved Class of Charge Analogue of Durgapal’s Relativistic Exact Solution

ABSTRACT

We obtain a new class of charged super-dense star models after prescribing particular Forms of the metric potential and electric intensity. The metric describing the superdense stars joins smoothly with the Reissner-Nordstrom metric at the pressure free boundary. The interior of the stars possess their energy density, pressure, pressure density ratio and velocity of sound to be monotonically decreasing towards the pressure free interface. In view of the surface density*ρ*_{b}=2×10^{14}g/cm^{3}, the heaviest star occupies a mass 5.523 *M*_{⊙}with its radius 13.98 km. In absence of the charge we are left behind with the regular and well behaved fifth model of Durgapal [1].

We obtain a new class of charged super-dense star models after prescribing particular Forms of the metric potential and electric intensity. The metric describing the superdense stars joins smoothly with the Reissner-Nordstrom metric at the pressure free boundary. The interior of the stars possess their energy density, pressure, pressure density ratio and velocity of sound to be monotonically decreasing towards the pressure free interface. In view of the surface density

Cite this paper

nullP. Fuloria, B. Tewari and B. Joshi, "Well Behaved Class of Charge Analogue of Durgapal’s Relativistic Exact Solution,"*Journal of Modern Physics*, Vol. 2 No. 10, 2011, pp. 1156-1160. doi: 10.4236/jmp.2011.210143.

nullP. Fuloria, B. Tewari and B. Joshi, "Well Behaved Class of Charge Analogue of Durgapal’s Relativistic Exact Solution,"

References

[1] M. C. Durgapal, “A Class of New Exact Solutions in General Relativity,” Journal of Physics A: Mathematical and General, Vol. 15, August 1982, pp. 2637-2644.

[2] N. Pant, “Some New Exact Solutions with Finite Central Parameters and Uniform Radial Motion of Sound,” Astrophysics and Space Science, Vol. 331, No. 2, 2011, pp. 633-644. doi:10.1007/s10509-010-0453-4

[3] N. Pant, et al., “Well Behaved Class of Charge Analogue of Heintzmann’s Relativistic Exact Solution,” Astrophysics and Space Science, Vol. 332, No. 2, 2011, pp. 473- 479. doi:10.1007/s10509-010-0509-5

[4] N. Pant, et al., “Variety of Well Behaved Parametric Classes of Relativistic Charged Fluid Spheres in General Relativity,” Astrophysics and Space Science, Vol. 333, No. 1, 2011, pp. 161-168.

[5] Y. K. Gupta and S. K. Maurya, “A Class of Regular and Well Behaved Relativistic Super Dense Star Models,” Astrophysics and Space Science, Vol. 334, No. 1, 2011, pp. 155-162. doi:10.1007/s10509-010-0503-y

[6] S. K. Maurya and Y. K. Gupta, “A Family of Well Behaved Charge Analogue of a Well Behaved Neutral Solution in Genetral Relativity,” Astrophysics and Space Science, Vol. 332, No. 2, 2011, pp. 481-490. doi:10.1007/s10509-010-0541-5

[7] S. K. Maurya and Y. K. Gupta, “Charged Analogue of Vlasenko-Pronin Super Dense Star in General Relativity,” Astrophysics and Space Science, Vol. 333, No. 1, 2011, pp. 149-160. doi:10.1007/s10509-011-0616-y

[8] N. Pant, “Well Behaved Parametric Class of Relativistic in Charged Fluid Ball General Relativity,” Astrophysics and Space Science, Vol. 332, No.2, 2011, pp.403-408. doi:10.1007/s10509-010-0521-9

[9] N. Pant, “New Class of Well Behaved Exact Solutions of Relativistic Charged White-Dwarf Star with Perfect Fluid,” Astrophysics and Space Science, Vol. 334, No. 2, 2011, pp. 267-271. doi:10.1007/s10509-011-0720-z

[10] N. Bijalwan, “Static Electrically Charged Fluids in Terms Pressure: General Relativity,” Astrophysics and Space Science, Vol. 334, No. 1, 2011, pp.139-143. doi:10.1007/s10509-011-0691-0

[11] D. D. Dionysiou, “Equilibrium of a Static Charged Perfect Fluid Sphere,” Astrophysics and Space Science, Vol. 85, No. 1-2, 1982, pp. 331-343. doi:10.1007/BF00653455

[1] M. C. Durgapal, “A Class of New Exact Solutions in General Relativity,” Journal of Physics A: Mathematical and General, Vol. 15, August 1982, pp. 2637-2644.

[2] N. Pant, “Some New Exact Solutions with Finite Central Parameters and Uniform Radial Motion of Sound,” Astrophysics and Space Science, Vol. 331, No. 2, 2011, pp. 633-644. doi:10.1007/s10509-010-0453-4

[3] N. Pant, et al., “Well Behaved Class of Charge Analogue of Heintzmann’s Relativistic Exact Solution,” Astrophysics and Space Science, Vol. 332, No. 2, 2011, pp. 473- 479. doi:10.1007/s10509-010-0509-5

[4] N. Pant, et al., “Variety of Well Behaved Parametric Classes of Relativistic Charged Fluid Spheres in General Relativity,” Astrophysics and Space Science, Vol. 333, No. 1, 2011, pp. 161-168.

[5] Y. K. Gupta and S. K. Maurya, “A Class of Regular and Well Behaved Relativistic Super Dense Star Models,” Astrophysics and Space Science, Vol. 334, No. 1, 2011, pp. 155-162. doi:10.1007/s10509-010-0503-y

[6] S. K. Maurya and Y. K. Gupta, “A Family of Well Behaved Charge Analogue of a Well Behaved Neutral Solution in Genetral Relativity,” Astrophysics and Space Science, Vol. 332, No. 2, 2011, pp. 481-490. doi:10.1007/s10509-010-0541-5

[7] S. K. Maurya and Y. K. Gupta, “Charged Analogue of Vlasenko-Pronin Super Dense Star in General Relativity,” Astrophysics and Space Science, Vol. 333, No. 1, 2011, pp. 149-160. doi:10.1007/s10509-011-0616-y

[8] N. Pant, “Well Behaved Parametric Class of Relativistic in Charged Fluid Ball General Relativity,” Astrophysics and Space Science, Vol. 332, No.2, 2011, pp.403-408. doi:10.1007/s10509-010-0521-9

[9] N. Pant, “New Class of Well Behaved Exact Solutions of Relativistic Charged White-Dwarf Star with Perfect Fluid,” Astrophysics and Space Science, Vol. 334, No. 2, 2011, pp. 267-271. doi:10.1007/s10509-011-0720-z

[10] N. Bijalwan, “Static Electrically Charged Fluids in Terms Pressure: General Relativity,” Astrophysics and Space Science, Vol. 334, No. 1, 2011, pp.139-143. doi:10.1007/s10509-011-0691-0

[11] D. D. Dionysiou, “Equilibrium of a Static Charged Perfect Fluid Sphere,” Astrophysics and Space Science, Vol. 85, No. 1-2, 1982, pp. 331-343. doi:10.1007/BF00653455