On Physical Properties of Cylindrically Symmetric Self-Similar Solutions

Sharif, M.; Aziz, Sehar

doi:10.1142/s0217751x05023906

Cited by 11 publications

(10 citation statements)

References 21 publications

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“…Recent literature [3][4][5]7,[17][18][19][20] indicates keen interest in the self-similar solutions and their physical features. Maeda et al [3][4][5] have classified the spherically symmetric KSS perfect fluid and dust solutions.…”

Section: Summary and Discussionmentioning

confidence: 99%

Kinematic self-similar plane symmetric solutions

Sharif¹,

Aziz²

2006

Class. Quantum Grav.

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This paper is devoted to classify the most general plane symmetric spacetimes according to kinematic self-similar perfect fluid and dust solutions. We provide a classification of the kinematic self-similarity of the first, second, zeroth and infinite kinds with different equations of state, where the self-similar vector is not only tilted but also orthogonal and parallel to the fluid flow. This scheme of classification yields twenty four plane symmetric kinematic self-similar solutions. Some of these solutions turn out to be vacuum. These solutions can be matched with the already classified plane symmetric solutions under particular coordinate transformations. As a result, these reduce to sixteen independent plane symmetric kinematic self-similar solutions.

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Section: Summary and Discussionmentioning

confidence: 99%

Kinematic self-similar plane symmetric solutions

Sharif¹,

Aziz²

2006

Class. Quantum Grav.

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“…Sharif and Sehar [20] extended this work for cylindrically symmetric spacetimes for both perfect fluid and dust cases with tilted, parallel and orthogonal vector fields by using different equations of state. They also studied the physical properties of spherically [21], cylindrically [22] and plane [23] symmetric spacetimes.…”

Section: Introductionmentioning

confidence: 99%

Kinematic self-similar solutions of locally rotationally symmetric spacetimes

Sharif¹,

Amir²

2010

Braz. J. Phys.

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This paper contains locally rotationally symmetric kinematic self-similar perfect fluid and dust solutions. We consider three families of metrics which admit kinematic self-similar vectors of the first, second, zeroth and infinite kinds, not only for the tilted fluid case but also for the parallel and orthogonal cases. It is found that the orthogonal case gives contradiction both in perfect fluid and dust cases for all the three metrics while the tilted case reduces to the parallel case in both perfect fluid and dust cases for the second metric. The remaining cases give self-similar solutions of different kinds. We obtain a total of seventeen independent solutions out of which two are vacuum. The third metric yields contradiction in all the cases.

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“…In this paper, we restrict ourselves to investigate the parallel and orthogonal cases. The tilted case has been explored separately [22]. A KSS vector ξ satisfies the following conditions…”

Section: Cylindrically Symmetric Spacetimes and Kinematic Self-similamentioning

confidence: 99%

“…This analysis has been extensively given for the perfect fluid and dust cases with tilted, parallel and orthogonal vectors. The same authors [18][19][20] have also studied the physical properties of such solutions for spherically, cylindrically and plane symmetric spacetimes respectively. In this paper, we investigate the KSS solutions of the most general cylindrically symmetric spacetimes for both perfect fluid and dust cases.…”

Section: Introductionmentioning

confidence: 99%

Parallel and Orthogonal Cylindrically Symmetric Self-Similar Solutions

Sharif¹,

Zanub²

2009

J. Korean Phy. Soc.

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In this paper, we evaluate kinematic self-similar perfect fluid and dust solutions for the most general cylindrically symmetric spacetime. We explore kinematic self-similar solutions of the first, second, zeroth and infinite kinds for parallel and orthogonal cases. It is found that the parallel case gives solutions for both perfect fluid and dust cases in all kinds except the zeroth kind of the dust case where there exists no solution. The orthogonal perfect fluid case gives stiff fluid solution only in the first kind and vacuum solution for the dust case. We obtain a total of thirteen solutions out of which eleven are independent. The correspondence of these solutions with those already available in the literature is also given.Comment: 15 pages, accepted for publication in J. Korean Physical Societ

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On Physical Properties of Cylindrically Symmetric Self-Similar Solutions

Cited by 11 publications

References 21 publications

Kinematic self-similar plane symmetric solutions

Kinematic self-similar plane symmetric solutions

Kinematic self-similar solutions of locally rotationally symmetric spacetimes

Parallel and Orthogonal Cylindrically Symmetric Self-Similar Solutions

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