Anisotropic compact stars in Karmarkar spacetime

Ksh. Newton Singh; Neeraj Pant; M. Govender

doi:10.1088/1674-1137/41/1/015103

Chinese Physics C> 2017, Vol. 41> Issue(1) : 015103 DOI: 10.1088/1674-1137/41/1/015103

Anisotropic compact stars in Karmarkar spacetime

1.
Department of Physics, National Defence Academy, Khadakwasla, Pune-411023, India
2.
Department of Mathematics, National Defence Academy, Khadakwasla, Pune, 411023, India
3.
Department of Mathematics, Faculty of Applied Sciences, Durban University of Technology, Durban, South Africa

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Abstract：
We present a new class of solutions to the Einstein field equations for an anisotropic matter distribution in which the interior space-time obeys the Karmarkar condition. The necessary and sufficient condition required for a spherically symmetric space-time to be of Class One reduces the gravitational behavior of the model to a single metric function. By assuming a physically viable form for the g_rr metric potential we obtain an exact solution of the Einstein field equations which is free from any singularities and satisfies all the physical criteria. We use this solution to predict the masses and radii of well-known compact objects such as Cen X-3, PSR J0348+0432, PSR B0943+10 and XTE J1739-285.
- general relativity ,
- exact solution ,
- embedding class I ,
- Karmarkar condition ,
- anisotropy ,
- compact stars

References

[1]	K. Schwarzschild, Math. Phys., 189:(1916a)
[2]	K. Schwarzschild, Math. Phys., 424:(1916b)
[3]	R. L. Bowers, E. P. T. Liang, Astrophys. J., 188:657-665(1974)
[4]	J. D. Bekenstein, Phys. Rev. D, 4:2185-2190(1971)
[5]	S. D. Maharaj, R. Maartens, Gen. Relativ. Gravit., 21:899-905(1989)
[6]	R. Tikekar and K. Jotania, Int. J. Mod. Phys. D, 14:1037-1048(2005)
[7]	M. Esculpi et al, Gen. Relativ. Gravit., 39:633-652(2007)
[8]	P. C. Vaidya, Proc. Ind. Acad. Sci. A, 33:264-276(1951)
[9]	N. O. Santos, Mon. Not. R. Astron. Soc., 216:403-410(1985)
[10]	W. B. Bonnor, A. K. G. de Oliveira, and N. O. Santos, Phys. Rep., 181:269-326(1989)
[11]	R. Sharma and R. Tikekar, Pramana J. of Phys., 79:501-509(2012)
[12]	M. Govender et al, Astrophys. Space Sci., 361:33(2016)
[13]	P. Bhar, Astrophys. Space Sci., 356:309-318(2015)
[14]	P. Bhar, Eur. Phys. J. C, 75:123(2015)
[15]	K. N. Singh and N. Pant, Astrophys. Space Sci., 358:44(2015)
[16]	H. Andreasson, J. Phys.:Conference Series, 189:012001-0120013(2009)
[17]	P. Takisa Mafa, S. Ray, S. D. Maharaj, Astrophys. Space Sci., 350:733(2014)
[18]	S. A. Ngubelanga, S. D. Maharaj, and S. Ray, Astrophys. Space Sci., 357:74(2015)
[19]	M. Govender and S. Thirukkanesh, Astrophys. Space Sci., 358:16-22(2015)
[20]	P. Bhar and F. Rahaman, Euro. Phys. J. C, 75:41(2015)
[21]	F.S.N. Lobo, Class. Quantum Grav., 23:1525(2006)
[22]	F. Rahaman et al, Euro. Phys. J. C, 72:2071(2012)
[23]	F. Rahaman et al, Gen. Relativ. Gravit., 44:107-124(2012)
[24]	P. Bhar, Astrophys. Space Sci., 359:41(2015)
[25]	P. H. Chavanis, T. Harko, Phys. Rev. D, 86:064011(2012)
[26]	T. Harko, Phys. Rev. D, 68:064005(2003)
[27]	N. Dadhich et al, Phys. Rev. D, 88:084024(2013)
[28]	P. S. Joshi and D. Malafarina, Int. J. Mod. Phys. D, 20:2641-2729(2011)
[29]	N. Dadhich et al, Phys.Lett. B, 711:196-198(2012)
[30]	S. Hansraj et al, Eur. Phys. J. C, 75:277(2015)
[31]	S. D. Maharaj et al, Phys. Rev. D, 91:084049(2015)
[32]	N. Dadhich et al, Phys. Rev. D, 93:044072(2016)
[33]	A. Banerjee et al, Euro. Phys. J. C, 76:34(2016)
[34]	K. R. Karmarkar, Proc. Indian. Acad. Sci. A, 27:56-60(1948)
[35]	K. N. Singh and N. Pant, Astrophys. Space Sci., 361:177(2016)
[36]	K. N. Singh et al, Astrophys. Space Sci., 361:173(2016)
[37]	S. Thakadiyil and M. K. Jasim, Int. J. Theor. Phys., 52:3960-3964(2013)
[38]	S.N. Pandey and S. P. Sharma, Gene. Relativ. Gravit., 14:113-115(1981)
[39]	L. Herrera and N. O. Santos, Phys. Rep., 286:53-130(1997)
[40]	J. Ponce de Leon, Gen. Relativ. Gravit., 19:797-807(1987)
[41]	T. D. C. Ash et al, Gen. Relativ. Gravit., 307:357-364(1999)
[42]	J. Antoniadis et al, Science, 340:1233232(2013)
[43]	Y. L. Yue et al, Astrophys. J., 649:L95-L98(2006)
[44]	C. M. Zhang et al, Publ. Astron. Soc. Pac., 119:1108-1113(2007)

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Ksh. Newton Singh, Neeraj Pant and M. Govender. Anisotropic compact stars in Karmarkar spacetime[J]. Chinese Physics C, 2017, 41(1): 015103. doi: 10.1088/1674-1137/41/1/015103

Ksh. Newton Singh, Neeraj Pant and M. Govender. Anisotropic compact stars in Karmarkar spacetime[J]. Chinese Physics C, 2017, 41(1): 015103. doi: 10.1088/1674-1137/41/1/015103 shu

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沈阳化工大学材料科学与工程学院沈阳 110142

Anisotropic compact stars in Karmarkar spacetime

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Anisotropic compact stars in Karmarkar spacetime

Corresponding author: Ksh. Newton Singh, ntnphy@gmail.com

Corresponding author: Neeraj Pant, ntnphy@gmail.com

Corresponding author: M. Govender, ntnphy@gmail.com

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