Generating potentials via difference equations

Maharaj, S. D.; Thirukkanesh, S.

doi:10.1002/mma.756

Cited by 11 publications

(12 citation statements)

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“…Schwarzschild's solution also has been charged by Banerjee and Som (1981), Cohen et al (1969), Grøn (1985), Gupta et al (1986), Florides (1983), Guilfoyle (1999) and Gupta and Kumar (2005a). In this context the work by Maharaj and Komathiraj (2007a, 2007b, 2008, Maharaj and Thirukkanesh (2006a, 2006b, 2009), Maharaj and Hansraj (2006c), may also be visited.…”

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confidence: 89%

A class of charged analogues of Durgapal and Fuloria superdense star

Gupta

Maurya

2010

Astrophys Space Sci

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A class of charged analogues of superdense star model due to M.C. Durgapal and R.S. Fuloria, is obtained by using a particular electric field, which involves a parameter K. The members of this class are seen to satisfy the various physical conditions e.g. c 2 ρ ≥ 3p ≥ 0, dp/dr < 0, dρ/dr < 0, along with the velocity of sound condition dp/c 2 dρ < 1 and the adiabatic index ((p + c 2 ρ)/p)(dp/(c 2 dρ)) > 1 for the interval 1 < K ≤ 1.73 with the maximum mass 3.2860 M and the radius 18.3990 km.It is interesting to note that the velocity of sound and the ratio p/c 2 ρ are monotonically decreasing towards the pressure free interface for 1 < K ≤ 1.10216 which presents a relevant modelling for massive star like Neutron star or pulsar. In the interval 1 < K ≤ 1.10216, the maximum mass and the corresponding radius are given as 1.9672 M and 15.9755 km respectively.

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confidence: 89%

A class of charged analogues of Durgapal and Fuloria superdense star

Gupta

Maurya

2010

Astrophys Space Sci

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“…This does not include the anisotropic fluid distributions. Then entry of the Nordstrom's metric describing the gravitational field of charged fluid, provided an open way to the flood of charge analogues of the neutral solutions obtained so far (Ivanov 2002;Gupta and Gupta 1986;Gupta andKumar 2005a, 2005b;Bijalwan and Gupta 2008;Gupta and Maurya 2010a;Gupta et al 2010;Pant et al 2010b;Zanchin 2010a, 2010b;Sharif and Abbas 2010;Maharaj and Komathiraj 2007a, 2007bMaharaj and Thirukkanesh 2006a, 2006b, 2009Maharaj and Hansraj 2006). The utility of charge fluids is mainly because of the fact that the presence of charge averts the gravitational collapse of the material ball to a point singularity (Krasinski 1997).…”

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confidence: 94%

A family of well behaved charge analogues of a well behaved neutral solution in general relativity

Maurya

Gupta

2010

Astrophys Space Sci

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A family of charge analogues of a neutral solution with g 44 = (1 + Cr 2 ) 6 has been obtained by using a specific electric intensity, which involves a parameter K. Both neutral and charged solutions are analysed physically subject to the surface density 2 × 10 14 gm/cm 3 (neutron star). The neutral solution is well behaved for 0.0 < Ca 2 ≤ 0.10477 while its charge analogues are well behaved for a wide range of a parameter K (0 ≤ K ≤ 72) i.e. pressure, density, pressuredensity ratio, velocity of sound is monotonically decreasing and the electric intensity is monotonically increasing in nature for the given range of the parameter K. The maximum mass and radius occupied by the neutral solution are 3.4126M and 18.9227 km for Ca 2 = 0.10447 respectively. While the red shift at centre Z 0 = 0.9686 and red shift at the surface Z a = 0.4612. For the charged solution, the maximum mass and radius are 5.6111M and 17.2992 km respectively for K = 3.0130 and Ca 2 = 0.2500, with the red shift Z 0 = 3.0113 and Z a = 1.0538.

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“…In recent years researchers have attempted to introduce a systematic approach to finding solutions to the field equations. Maharaj and Leach [12] generalised the Tikekar superdense star, Thirukkanesh and Maharaj [13] generalised the Durgapal and Bannerji neutron star and Maharaj and Thirukkanesh [14] generalised the John and Maharaj [15] model. These new classes of models were obtained by reducing the condition of pressure isotropy to a recurrence relation with real and rational coefficients which could be solved by mathematical induction, leading to new mathematical and physical insights in the Einstein-Maxwell field equations.…”

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confidence: 99%

Charged relativistic spheres with generalized potentials

Thirukkanesh

Maharaj

2008

Math Methods in App Sciences

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A new class of exact solutions of the Einstein-Maxwell system is found in closed form. This is achieved by choosing a generalised form for one of the gravitational potentials and a particular form for the electric field intensity. For specific values of the parameters it is possible to write the new series solutions in terms of elementary functions. We regain well known physically reasonable models. A physical analysis indicates that the model may be used to describe a charged sphere. The influence of the electromagnetic field on the gravitational interaction is highlighted.Comment: 22 pages, To appear in Math. Meth. Appl. Sc

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Generating potentials via difference equations

Cited by 11 publications

References 10 publications

A class of charged analogues of Durgapal and Fuloria superdense star

A class of charged analogues of Durgapal and Fuloria superdense star

A family of well behaved charge analogues of a well behaved neutral solution in general relativity

Charged relativistic spheres with generalized potentials

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