Charged analogue of well behaved neutral spheres: an algorithmic approach

S. Thirukkanesh; F. C. Ragel

doi:10.1088/1674-1137/40/4/045101

Chinese Physics C> 2016, Vol. 40> Issue(4) : 045101 DOI: 10.1088/1674-1137/40/4/045101

Charged analogue of well behaved neutral spheres: an algorithmic approach

S. Thirukkanesh ^1,, ,
F. C. Ragel ^2,,

1.
Department of Mathematics, Eastern University, Chenkalady, Sri Lanka
2.
Department of Physics, Eastern University, Chenkalady, Sri Lanka

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Abstract：
We establish a systematic algorithmic approach that generates new classes of solutions to the Einstein-Maxwell system in static spherically symmetric spacetime from well known uncharged solutions. A particular case is shown to satisfy all major physical features of a realistic charged star including the standard point-wise energy conditions of normal matter. The solution matches smoothly with the exterior Reissner-Nordström metric at the pressure free interface. The study, which is reported for a particular choice of gravitational potential, encourages similar approaches to study electrification of well known physically realistic uncharged models.
- Einstein-Maxwell system ,
- exact solutions ,
- isotropic sphere

References

[1]	J. D. Bekenstein, Phys. Rev. D, 4:2185(1971)
[2]	M. K. Mak, P. N. Dobson Jr, and T. Harko, Europhys. Lett., 55:310(2001)
[3]	F. Weber, M. Meixner, R. P. Negreiros, and M. Malheiro, Int. J. Mod. Phys. E, 16:1165(2007)
[4]	F. Weber, R. Negreiros, and P. Rosenfield, Astrophysics and Space Science Library, 357:213(2009)
[5]	F. Weber, O. Hamil, K. Minura, and R. Negreiros, Int. J. Mod. Phys. D, 19:1427(2010)
[6]	R. P. Negreiros, F. Weber, M Malheiro, and V. Usov, Phys. Rev. D, 80:083006(2009)
[7]	C. Alcock, E. Farhi, and A. Olinto, Astrophys. J., 310:261(1986)
[8]	V. V. Usov, Phys. Rev. D, Part. Fields, 70:067301(2004)
[9]	V. V. Usov, T. Harko, and K. S. Cheng, ApJ, 620:915(2005)
[10]	R. P. Negreiros, Igor N. Mishustin, S. Schramm, and F. Weber, Phys. Rev. D, 82:103010(2010)
[11]	S. Ray, A. L. Espindola, M. Malheiro, J. P. S. Lemos, and V. T. Zanchin, Phys. Rev. D, 68:084004(2003)
[12]	M. Malheiro, R. Picno, S. Ray, Jos P. S. Lemos, and Vilson T. Zanchin, Int. J. Mod. Phys. D, 13:1375(2004)
[13]	F. Weber, M. Orsaria, H. Rodrigues, and Shu-Hua Yang, Proceedings of the International Astronomical Union Symposium S291, Vol. 8, edited by J. van Leeuwen,(Cambridge University Press, 2012), p. 61
[14]	B Kuchowicz, Acta Phys. Pol., 33:541(1968)
[15]	A. Nduka, Acta Phys. Pol. B, 8:75(1977)
[16]	R. J. Adler, J. Math. Phys., 15:727(1974)
[17]	M. Wyman, Phys. Rev., 75:1930(1949)
[18]	T. Singh, and R. B. S. Yadav, Acta Phys. Pol. B, 1978, 9:475(1949)
[19]	A. Nduka, Gen. Relativ. Gravit., 7:493(1976)
[20]	O. Klein, Ark. Mat. Astron. Fys. A, 34:N19(1947)
[21]	Y. K. Gupta, and M. Kumar, Gen. Relativ. Gravit. 37:575(2005)
[22]	B. S. Guilfoyle, Gen. Relativ. Gravit., 31:1645(1999)
[23]	Y. K. Gupta, and R. S. Gupta, Acta Phys. Pol. B, 17:855(1986)
[24]	P. S. Florides, J. Phys. A, Math. Gen., 16:1419(1983)
[25]	A. Banerjee, and M. M. Som, Int. J. Theor. Phys., 20:349(1981)
[26]	R. C. Tolman, Phys. Rev., 55:364(1939)
[27]	M. Cataldo, and N. V. Mitskievic, Class. Quantum Grav., 9:545(1992)
[28]	R. Tikekar, J. Math. Phys., 25:1481(1984)
[29]	D. N. Pant, and A. Sah, J. Math. Phys., 20:2537(1979)
[30]	M. C. Durgapal, and R. S. Fuloria, Gen. Relativ. Gravit., 17:671(1985)
[31]	Y. K. Gupta, and S. K. Maurya, Astrophys. Space Sci., 331:135(2011)
[32]	M. R. Finch, and J. E. F. Skea, Class. Quantum Grav., 6:467(1989)
[33]	S. Hansraj, and S. D. Maharaj, Int. J. Mod. Phys. D, 15:1311(2006)
[34]	S. Thirukkanesh, and S. D. Maharaj, Math. Meth. Appl. Sci., 32:684(2009)
[35]	S. Thirukkanesh, and S. D. Maharaj, Class. Quantum Grav. 23, 2697(2006)
[36]	S. D. Maharaj, and S. Thirukkanesh, Nonlinear Analysis:Real World Applications, 10:3396(2009)
[37]	S. K. Maurya, Y. K. Gupta, and Prathibha, International Journal of Modern Physics D, 20:1289(2011)
[38]	S. K. Maurya, and Y. K. Gupta, Astrophys. Space Sci., 332:481(2011)
[39]	S. K. Maurya, and Y. K. Gupta, Astrophys Space Sci, 334:301(2011)
[40]	S. K. Maurya, and Y. K. Gupta, Nonlinear Analysis:Real World Applications, 13:677(2012)
[41]	S. K. Maurya, and Y. K. Gupta, Astrophys. Space Sci., 340:323(2012)
[42]	Y. K. Gupta, and J. Kumar, Astrophys. Space Sci., 336:419(2011)
[43]	M. S. R. Delgaty, and K. Lake, Comput. Phys. Commun., 115:395(1998)
[44]	M. C. Durgapal, and R. Bannerji, Phys. Rev. D, 27:328(1983)
[45]	S. Thirukkanesh, and F. C. Ragel, Astrophys. Space Sci., 352:743(2014)
[46]	H. Heintzmann, Z. Phys., 228:489(1969)
[47]	M. C. Durgapal, J. Phys. A, 15:2637(1982)
[48]	M. C. Durgapal, A. K. Pande, and R. S. Phuloria, Astrophys. Space Sci., 102:49(1984)
[49]	M. P. Korkina, and O. Yu Orlyanskii, The Ukrainian Journal of Physics, 36:885(1991)
[50]	T. Delsate, and J. Steinhoff, Phys. Rev. Lett., 109:021101(2012)
[51]	R. Tikekar, and K. Jotania, Pramana J. Phys., 68:397(2007)
[52]	X.-D. Li, I. Bombaci, M. Dey, and E. P. J. van den Heuvel, Phys. Rev. Lett., 83:3776(1999)
[53]	X.-D. Li, Z.-G. Dai, and Z.-R. Wang, Astron. Astrophys., 303:L1(1995)
[54]	M. Dey, I. Bombaci, J. Dey, S. Ray, and B. C. Samanta, Phys. Lett. B, 438:123(1998)
[55]	I. Bombaci, Phys. Rev. C, 55:1587(1997)
[56]	F. Weber, M. Meixner, R. P. Negreiros, and M. Malheiro, Int. J. Mod. Phys. E, 16:1165(2007)
[57]	F. Weber, R. Negreiros, and P. Rosenfield, Astrophysics and Space Science Library, 357:213(2009)
[58]	F. Weber, O. Hamil, K. Minura, and R. Negreiros, Int. J. Mod. Phys. D, 19:1427(2010)
[59]	R. P. Negreiros, F. Weber, M. Malheiro, and V. Usov, Phys. Rev. D, 80:083006(2009)
[60]	J. E Madsen, Phys. Rev. Let., 100:151102(2008)

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S. Thirukkanesh and F. C. Ragel. Charged analogue of well behaved neutral spheres: an algorithmic approach[J]. Chinese Physics C, 2016, 40(4): 045101. doi: 10.1088/1674-1137/40/4/045101

S. Thirukkanesh and F. C. Ragel. Charged analogue of well behaved neutral spheres: an algorithmic approach[J]. Chinese Physics C, 2016, 40(4): 045101. doi: 10.1088/1674-1137/40/4/045101 shu

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Charged analogue of well behaved neutral spheres: an algorithmic approach

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Charged analogue of well behaved neutral spheres: an algorithmic approach

Corresponding author: S. Thirukkanesh, thirukkanesh@esn.ac.lk

Corresponding author: F. C. Ragel, thirukkanesh@esn.ac.lk

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