Relativistic compact stars with charged anisotropic matter

S. K. Maurya; Ayan Banerjee; Phongpichit Channuie

doi:10.1088/1674-1137/42/5/055101

Chinese Physics C> 2018, Vol. 42> Issue(5) : 055101 DOI: 10.1088/1674-1137/42/5/055101

Relativistic compact stars with charged anisotropic matter

1.
Department of Mathematical &
2.
Department of Mathematics, Faculty of Applied Sciences, Durban University of Technology, Durban, South Africa
3.
School of Science, Walailak University, Nakhon Si Thammarat, 80160 Thailand

Abstract
HTML
Reference
Related

PDF

Abstract：
In this article, we perform a detailed theoretical analysis of new exact solutions with anisotropic fluid distribution of matter for compact objects subject to hydrostatic equilibrium. We present a family solution to the Einstein-Maxwell equations describing a spherically symmetric, static distribution of a fluid with pressure anisotropy. We implement an embedding class one condition to obtain a relation between the metric functions. We generalize the properties of a spherical star with hydrostatic equilibrium using the generalised Tolman-Oppenheimer-Volkoff (TOV) equation. We match the interior solution to an exterior Reissner-Nordström one, and study the energy conditions, speed of sound, and mass-radius relation of the star. We also show that the obtained solutions are compatible with observational data for the compact object Her X-1. Regarding our results, the physical behaviour of the present model may serve for the modeling of ultra compact objects.
- Class I spacetime ,
- exact solutions ,
- compact objects ,
- electromagnetic mass models

References

[1]	J. Jeans, MNRAS, 82:122(1922);
[2]	G. Lemaitre, Gen. Rel. Grav., 29:641(1997)[Annales Soc. Sci. Bruxelles A, 53:51(1933)]
[3]	R. Ruderman, Rev. Astr. Astrophys., 10:427(1972)
[4]	R. L. Bowers and E. P. T. Liang, Astrophys. J., 188:657(1974)
[5]	S. Bayin, Phys. Rev. D, 26:1262(1982); H. Heintzmann, Astron, Astrophys., 38:51(1975); K. Krori, Canadian J. Phys., 62:239(1984); J. Ponce de Leon, J. Math. Phys., 28:1114(1987); P. Florides, Proc. Roy. Soc. Lond. A, 337:529(1974); K. M. Singh and K. S. Bhamra, Int. J. Theor. Phys., 29:1015(1990); T. Singh, G. P. Singh, and R. S. Srivastava, Int. J. Theor. Phys., 31:545(1992)
[6]	L. Herrera and N. O. Santos, Phys. Rept., 286:53(1997)
[7]	M. K. Mak and T. Harko, Proc. Roy. Soc. Lond. A, 459:393-408(2003)
[8]	M. Cosenza and L. Herrera, M. Esculpi, and L. Witten, J. Math. Phys., 22:118-125(1981)
[9]	L. Herrera J. Jimenez, L. Leal, and J. Ponce de Leon, J. Math. Phys., 25:3274-3278(1984)
[10]	L. Herrera and J. Ponce de Leon, J. Math. Phys., 26:2302(1985)
[11]	L. Herrera and J. Ponce de Leon, J. Math. Phys., 26:2018(1985)
[12]	M. Esculpi and L. Herrera, J. Math. Phys., 27:2087(1986)
[13]	L. Herrera, A. Di Prisco, J. Ospino, and E. Fuenmayor, J. Math. Phys., 42:2129(2001)
[14]	L. Herrera, J. Martin, and J. Ospino, J. Math. Phys., 43:4889(2002)
[15]	R. Sharma and S.D. Maharaj, Mon. Not. Roy. Astron.Soc., 375:1265-1268(2007)
[16]	F. Rahaman et al, Eur. Phys. J. C, 72:2071(2012)
[17]	A. Banerjee et al, Eur. Phys. J. Plus,132:150(2017)
[18]	S. K. Maurya, Y. K. Gupta, Astrophys. Space Sci., 353:657(2014)
[19]	D. Kileba Matondo and S. D. Maharaj, Astrophys.Space Sci., 361:221(2016)
[20]	B. V. Ivanov:e-Print:arXiv:1708.07971
[21]	S. K. Maurya and S.D. Maharaj, Eur. Phys. J. C, 77:328(2017)
[22]	Jose D. V. Arbanil and M. Malheiro, JCAP, 1611:012(2016)
[23]	P. Bhar and B.S. Ratanpal, Astrophys.Space Sci., 361:217(2016)
[24]	F. Rahaman et al, Eur. Phys. J. C, 75:564(2015)
[25]	S. Hansraj, Eur. Phys. J. C, 77:557(2017)
[26]	L. Herrera, J. Ospino, and A. Di Prisco, Phys. Rev. D, 77:027502(2008)
[27]	S. K. Maurya, Y. K. Gupta, and S. Ray, Eur. Phys. J. C, 77:360(2017)
[28]	L. Schlfli, Ann. di Mat. 2e srie, 5:170(1871)
[29]	H. Whitney, Ann. Math., 37:645-680(1936)
[30]	M. Janet, Ann. Soc. Polon. Math., 5:38(1926)
[31]	E. Cartan, Ann. Soc. Polon. Math., 6:1(1927)
[32]	L. Randall and R. Sundrum, Phys. Rev. Lett., 83:4690-4693(1999)
[33]	R. Maartens and K. Koyama:Brane-world gravity, arXiv:1004.3962v1[hepth]
[34]	K. R. Karmarkar, Proc. Ind. Acad. Sci. A, 27:56(1948)
[35]	S. K. Maurya et al, Eur. Phys. J. C, 75:389(2015)
[36]	S. K. Maurya et al, Eur. Phys. J. A, 52:191(2016)
[37]	Ksh. Newton Singh, Neeraj Pant, and M. Govender, Chin. Phys. C, 41:015103(2017)
[38]	P. Bhar et al, Int.J.Mod.Phys. D, 26:1750078(2017)
[39]	S. K. Maurya, B. S. Ratanpal, and M. Govender, Annals of Physics, 382:36(2017)
[40]	K. N. Singh, N. Pant, and M. Govender, Eur. Phys. J. C, 77, 100(2017)
[41]	S. K. Maurya et al, Eur. Phys. J. C, 75:225(2015)
[42]	S. K. Maurya et al, Eur. Phys. J. C, 76:266(2016)
[43]	S. K. Maurya et al, Astrophys. Space Sci., 361:351(2016)
[44]	K. N. Singh and N. Pant, Astrophys. Space Sci., 361:177(2016)
[45]	K. N. Singh et al, Eur. Phys. J. C, 76:524(2016)
[46]	K. N. Singh et al, Chin. Phys. C, 41:015103(2017)
[47]	Jose D. V. Arbanil and M. Malheiro, AIP Conf.Proc., 1693:030007(2015)
[48]	T. Gangopadhyay et al, Mon. Not. R. Astron. Soc., 431:3216(2013)
[49]	K. Schwarzschild, Sitz. Deut. Akad. Wiss. Math. Phys. Berlin, 24:424(1916)
[50]	M. Kohler, K. L. Chao, Z. Naturforchg, 20:1537(1965)
[51]	S. K. Maurya and M. Govender, Eur. Phys. J. C, 77:420(2017)
[52]	P. Bhar et al, Eur. Phys. J. C, 77:596(2017)
[53]	S. K. Maurya and M. Govender, Eur. Phys. J. C, 77:347(2017)
[54]	S. K. Maurya, B. S. Ratanpal, and M. Govender, Annals Phys., 382 36-49(2017)
[55]	S. K. Maurya et al, Eur. Phys. J. C, 77:45(2017)
[56]	G. Abbas, M. Zubair, and G. Mustafa, Astrophys.Space Sci., 26:358(2015)
[57]	F. Rahaman et al, Eur. Phys. J. C, 72:2071(2012)
[58]	C. W. Misner and D. H. Sharp, Phys. Rev. B, 136:571(1964)
[59]	R. C. Tolman, Phys. Rev., 55:364(1939)
[60]	J. R. Oppenheimer and G. M. Volkoff, Phys. Rev., 55:374(1939)
[61]	S. Ray et al, Phys. Rev. D, 68:084004(2003)
[62]	J. D. Bekenstein, Phys. Rev. D, 4:2185(1971)
[63]	H. Andrasson, Commun. Math. Phys., 288:715(2009)
[64]	R. L. Bowers and E. P. T. Liang, Astrophys. J., 188:657(1974)
[65]	H.A. Buchdahl, Phys. Rev., 116:1027(1959)
[66]	C. G. Bhmer and T. Harko, Class. Quantum Gravit., 23:6479(2006)
[67]	C. Germani and R. Maartens, Phys. Rev. D, 64:124010(2001)
[68]	L. Herrera, Phys. Lett. A, 165:206(1992)
[69]	P. Bhar et al, Eur. Phys. J. A, 52(10):312(2016)
[70]	S. K. Maurya, S. Ray, S. Ghosh, S. Manna, and T. T. Smitha, Submitted in Eur. Phys. J. C, (2017)

[1]	M. K. Jasim , S. K. Maurya , Abdelghani Errehymy , Ali Khalid Jassim , Kottakkaran Sooppy Nisar , Abdel-Haleem Abdel-Aty . Physical properties and maximum allowable mass-radius relation of complexity-free compact stellar objects within modified ${\boldsymbol f}({ \mathcal{\boldsymbol R}},{\boldsymbol T})$ gravity formalism. Chinese Physics C, 2024, 48(7): 075108. doi: 10.1088/1674-1137/ad3e67
[2]	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
[3]	Francisco Tello-Ortiz , Ángel Rincón , Piyali Bhar , Y. Gomez-Leyton . Durgapal IV model considering the minimal geometric deformation approach. Chinese Physics C, 2020, 44(10): 105102. doi: 10.1088/1674-1137/aba5f7
[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]	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
[6]	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
[7]	Yue-Liang Wu . Maximal symmetry and mass generation of Dirac fermions and gravitational gauge field theory in six-dimensional spacetime. Chinese Physics C, 2017, 41(10): 103106. doi: 10.1088/1674-1137/41/10/103106
[8]	Ksh. Newton Singh , Neeraj Pant , M. Govender . Anisotropic compact stars in Karmarkar spacetime. Chinese Physics C, 2017, 41(1): 015103. doi: 10.1088/1674-1137/41/1/015103
[9]	Hai-Bo Xu , Na Zheng . Optimum angle-cut of collimator for dense objects in high-energy proton radiography. Chinese Physics C, 2016, 40(2): 028201. doi: 10.1088/1674-1137/40/2/028201
[10]	S. Thirukkanesh , F. C. Ragel . Charged analogue of well behaved neutral spheres: an algorithmic approach. Chinese Physics C, 2016, 40(4): 045101. doi: 10.1088/1674-1137/40/4/045101
[11]	ZHAO Dong , LI Ming-Hua , WANG Ping , CHANG Zhe . Inflation in de Sitter spacetime and CMB large scale anomaly. Chinese Physics C, 2015, 39(9): 095101. doi: 10.1088/1674-1137/39/9/095101
[12]	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
[13]	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
[14]	CHEN Li-Zhu , PAN Xue , CHEN Xiao-Song , WU Yuan-Fang . Critical behavior of higher cumulants of order parameter in the 3D-Ising universality class. Chinese Physics C, 2012, 36(8): 727-732. doi: 10.1088/1674-1137/36/8/008
[15]	LI Jian , ZHENG Huan-Yang . Determinate joint remote preparation of an arbitrary W-class quantum state. Chinese Physics C, 2012, 36(7): 597-600. doi: 10.1088/1674-1137/36/7/005
[16]	LUO Xiao-Wei , XIANG Xin-Lei , XIE Jia-Lin . Research on a novel compact linac. Chinese Physics C, 2011, 35(1): 96-99. doi: 10.1088/1674-1137/35/1/020
[17]	LI Dao-Wu , LIU Jun-Hui , ZHANG Zhi-Ming , WANG Bao-Yi , ZHANG Tian-Bao , WEI Long . A compact positron annihilation lifetime spectrometer. Chinese Physics C, 2011, 35(1): 100-103. doi: 10.1088/1674-1137/35/1/021
[18]	J. Vijande . Molecular and compact four-quark states. Chinese Physics C, 2010, 34(9): 1290-1293. doi: 10.1088/1674-1137/34/9/026
[19]	CAO Li-Ke , KE San-Min , YANG Tao , YUE Rui-Hong . Exact Solution of a New Class of Hubbard-Type Models with Open Boundary Conditions. Chinese Physics C, 2007, 31(1): 30-33.
[20]	Zheng Bo . Exact Ground State of Lattice Schwinger Model. Chinese Physics C, 1989, 13(S3): 259-262.

Access

Get Citation

S. K. Maurya, Ayan Banerjee and Phongpichit Channuie. Relativistic compact stars with charged anisotropic matter[J]. Chinese Physics C, 2018, 42(5): 055101. doi: 10.1088/1674-1137/42/5/055101

S. K. Maurya, Ayan Banerjee and Phongpichit Channuie. Relativistic compact stars with charged anisotropic matter[J]. Chinese Physics C, 2018, 42(5): 055101. doi: 10.1088/1674-1137/42/5/055101 shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2018-02-04

Article Metric

Article Views(1644)
PDF Downloads(42)
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

Relativistic compact stars with charged anisotropic matter

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article

Relativistic compact stars with charged anisotropic matter

Corresponding author: S. K. Maurya,

Corresponding author: Ayan Banerjee,

Corresponding author: Phongpichit Channuie,

HTML

目录