Stationary charged-dust distribution in general relativity

Misra, Rampada; Pandey, D.B.; Srivastava, D. C.

doi:10.1007/bf02735506

Cited by 4 publications

(4 citation statements)

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“…One should also be careful to note that the Ricci tensors and the field equations are written by Harrison in the same form as that of Landau and Lifshitz (1962). The present equation (6c) differs from the corresponding one of Misra et al (1972) only in that they have taken 8 = + 1, but this makes a significant difference to the result obtained for the ratio I a 11m.…”

contrasting

confidence: 65%

“…It is found that the ratio is truly an arbitrary constant, in disagreement with the apparently. incorrect result obtained by Misra et al (1972).…”

Section: Introductionmentioning

confidence: 77%

“…In recent communications Misra et al (1972Misra et al ( , 1973 have investigated the Einstein-Maxwell equations for a stationary distribution of charged dust in order to find the relation between mass and charge density. Unfortunately their calculations appear to be in error owing to an incorrect choice for the sign of 8 in their use of the field equations given by Harrison (1968).…”

mentioning

confidence: 99%

“…(7) Equation (7) shows that the ratio is truly an arbitrary constant, while the relation obtained by Misra et al (1972), namely I a 11m = rx/Ctrx2 + 1), possesses an upper limit of 1/..)2 in magnitude and leads to the incorrect conclusion that the charge density is always less than the mass density. It is worthwhile to note here that a similar mistake has been made by Misra et al (1973) in their separate treatment of stationary axially symmetric charged dust with rigid rotation and vanishing Lorentz force, in which an error in sign occurs in their expression for the electromagnetic energy-momentum tensor.…”

mentioning

confidence: 99%

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On Stationary Distributions of Charged Dust

Banerjee¹,

Chakravarty²,

Choudhury³

1976

Aust. J. Phys.

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The correct value of the ratio of charge density to mass density is obtained for a stationary distribution of charged dust with vanishing Lorentz force. It is found that the ratio is truly an arbitrary constant, in disagreement with the apparently. incorrect result obtained by Misra et al. (1972).In recent communications Misra et al. (1972, 1973) have investigated the Einstein-Maxwell equations for a stationary distribution of charged dust in order to find the relation between mass and charge density. Unfortunately their calculations appear to be in error owing to an incorrect choice for the sign of 8 in their use of the field equations given by Harrison (1968). We show in this note that with a correct formulation of the field equations the value of I (J 11m, the ratio of the charge density to the mass density, turns out to be truly an arbitrary constant, allowing both extremes of a massless charge distribution and an uncharged dust distribution. This is in contrast to the ratio obtained by Misra et al. which had an upper limit that was less than unity.For stationary charged incoherent matter without any spatial symmetry, we use the line element (1) where Latin indices assume values from 1 to 3 and the metric is independent of time t. In what follows Greek indices may have values from 1 to 4.The field equations are now (2) where (3) which is a combination of the energy tensors due to the matter and the electromagnetic field. Assuming that the Lorentz force F/Lv VV vanishes everywhere and using comoving coordinates, one gets from the Bianchi identityThis relation yields goo = const. and without loss of generality we may assume

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contrasting

confidence: 65%

“…It is found that the ratio is truly an arbitrary constant, in disagreement with the apparently. incorrect result obtained by Misra et al (1972).…”

Section: Introductionmentioning

confidence: 77%

mentioning

confidence: 99%

mentioning

confidence: 99%

See 2 more Smart Citations

On Stationary Distributions of Charged Dust

Banerjee¹,

Chakravarty²,

Choudhury³

1976

Aust. J. Phys.

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Stationary gravitational fields of a charged perfect fluid

Kloster

Das

1977

Journal of Mathematical Physics

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Einstein's field equations which include electromagnetism are investigated when the metric admits a timelike Killing motion and the source is a charged perfect fluid under isometric motion. It is shown that the pressure must necessarily be a function of the electrostatic and gravitational potentials. A class of solutions is found under the following simplifying assumptions: (i) The pressure is a constant, (ii) the Lorentz force vanishes, and (iii) the magnetic and twist potentials are functionally related. In this class the ratio of (7" /(p + 3 p) is a constant and this resembles an equilibrium condition. Finally a four-parameter group (maximal) is supplied which can generate new solutions of this class. , ,The above equation can be integrated by using the characteristic curves 7 to obtain p = e-w f(fu bA _ e w/2 ),where f is an arbitrary differentiable function of fu bA _ e w/2 • EXACT SOLUTIONSSolutions are obtained by making the following two

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On a recent paper of Misra et al

Ward

1974

J. Phys. A: Math. Nucl. Gen.

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Stationary charged-dust distribution in general relativity

Cited by 4 publications

References 5 publications

On Stationary Distributions of Charged Dust

On Stationary Distributions of Charged Dust

Stationary gravitational fields of a charged perfect fluid

On a recent paper of Misra et al

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