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

Abstract
HTML
Reference
Related

PDF

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)

[1]	H. Nazar , M. Azam , G. Abbas , Riaz Ahmed , R. Naeem . Relativistic polytropic models of charged anisotropic compact objects. Chinese Physics C, 2023, 47(3): 035109. doi: 10.1088/1674-1137/acae5b
[2]	Kimet Jusufi . Charged AdS black holes with finite electrodynamics in 4D Einstein-Gauss-Bonnet gravity. Chinese Physics C, 2023, 47(3): 035108. doi: 10.1088/1674-1137/acaaf4
[3]	Abdelghani Errehymy , G. Mustafa , Youssef Khedif , Mohammed Daoud . Exploring physical features of anisotropic quark stars in Brans-Dicke theory with a massive scalar field via embedding approach. Chinese Physics C, 2022, 46(4): 045104. doi: 10.1088/1674-1137/ac46bb
[4]	Ksh. Newton Singh , Abdelghani Errehymy , Farook Rahaman , Mohammed Daoud . Exploring physical properties of compact stars in ${ f(R,T)}$ -gravity: An embedding approach. Chinese Physics C, 2020, 44(10): 105106. doi: 10.1088/1674-1137/abab88
[5]	Ksh. Newton Singh , Ravindra K. Bisht , S. K. Maurya , Neeraj Pant . Static fluid spheres admitting Karmarkar condition. Chinese Physics C, 2020, 44(3): 035101. doi: 10.1088/1674-1137/44/3/035101
[6]	Ayan Banerjee , J. R. Villanueva , Phongpichit Channuie , Kimet Jusufi . Stable gravastars: Guilfoyle's electrically charged solutions. Chinese Physics C, 2018, 42(11): 115101. doi: 10.1088/1674-1137/42/11/115101
[7]	Sheng-Xian Zhao , Shuang-Nan Zhang . Exact solutions for spherical gravitational collapse around a black hole: the effect of tangential pressure. Chinese Physics C, 2018, 42(8): 085101. doi: 10.1088/1674-1137/42/8/085101
[8]	S. K. Maurya , Ayan Banerjee , Phongpichit Channuie . Relativistic compact stars with charged anisotropic matter. Chinese Physics C, 2018, 42(5): 055101. doi: 10.1088/1674-1137/42/5/055101
[9]	S. Thirukkanesh , F. C. Ragel . A realistic model for charged strange quark stars. Chinese Physics C, 2017, 41(1): 015102. doi: 10.1088/1674-1137/41/1/015102
[10]	Yi Ling , Zhuoyu Xian , Zhenhua Zhou . Power law of shear viscosity in Einstein-Maxwell-Dilaton-Axion model. Chinese Physics C, 2017, 41(2): 023104. doi: 10.1088/1674-1137/41/2/023104
[11]	null . Acceleration of particles in Einstein-Maxwell-dilaton black holes. Chinese Physics C, 2017, 41(6): 065101. doi: 10.1088/1674-1137/41/6/065101
[12]	ZHAO Xiao-Yun , WANG Huan-Yu , WU Feng , MENG Xiang-Cheng , MA Yu-Qian , LU Hong , WANG Hui , WANG Ping , LI Xin-Qiao , XU Yan-Bin , SHI Feng , JIANG Wen-Qi , AN Zhen-Hua , YU Xiao-Xia , LIU Han-Yi . A geometric factor calculation method based on the isotropic flux assumption. Chinese Physics C, 2013, 37(12): 126201. doi: 10.1088/1674-1137/37/12/126201
[13]	Z. Molaee , A. Boumali . Exact solutions of the Duffin-Kemmer-Petiau equation with a hyperbolical potential in (1+3) dimensions. Chinese Physics C, 2013, 37(7): 073104. doi: 10.1088/1674-1137/37/7/073104
[14]	H. Hassanabadi , B. H. Yazarloo . Exact solutions of the Spinless-Salpeter equation under Kink-Like potential. Chinese Physics C, 2013, 37(12): 123101. doi: 10.1088/1674-1137/37/12/123101
[15]	WEI Gao-Feng , LONG Chao-Yun , LONG Zheng-Wen , QIN Shui-Jie . Exact solution to two-dimensional isotropic charged harmonic oscillator in uniform magnetic field in non-commutative phase space. Chinese Physics C, 2008, 32(4): 247-250. doi: 10.1088/1674-1137/32/4/001
[16]	ZHANG Xin , PAN Feng . Exact Solutions of sl-Boson System in U(2l+1) O(2l+2) Transitional Region. Chinese Physics C, 2002, 26(12): 1228-1237.
[17]	Ni Zhixiang , Ma Tao . The Quantum Cosmology of 4+2D Dimensional Einstein Maxwell Theory. Chinese Physics C, 1994, 18(10): 911-918.
[18]	Zheng Bo . Exact Ground State of Lattice Schwinger Model. Chinese Physics C, 1989, 13(S3): 259-262.
[19]	HOU Bo-Yu , LI Wei . NEW INFINITE SYMMETRIES IN THE STATIONARY AXIALLY SYMMETRIC EINSTEIN-MAXWELL FIELDS. Chinese Physics C, 1988, 12(2): 196-202.
[20]	Hou Boyu , Li Wei . New Infinite Symmetries in the Stationary, Axially Symmetric Einstein-Maxwell Fields. Chinese Physics C, 1988, 12(S1): 69-76.

Access

Get Citation

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

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2015-07-13

Article Metric

Article Views(2677)
PDF Downloads(259)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

Charged analogue of well behaved neutral spheres: an algorithmic approach

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article

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

HTML

目录