Matter Symmetries of Non-Static Plane Symmetric Spacetimes

Sharif, M.; Ismaeel, Tariq

doi:10.1142/9789812770523_0041

Cited by 3 publications

(3 citation statements)

References 15 publications

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“…This formalism required that the tidal force be the gradient of the (ψN) force, and also that the spacetime be static. This formalism was extended to include non-static spacetimes, [19,20]. This formalism uses a continuous re-setting of the zero of the force with the time variation.…”

Section: Review Of the Extended Pseudo-newtonian Formalismmentioning

confidence: 99%

“…This formalism uses a continuous re-setting of the zero of the force with the time variation. It was used to provide a general formula for the momentum imparted to test particles by GWs [15,20], which gives the WW formula as a second order approximation. The momentum 4-vector is just the time integral of the force 4-vector,…”

Section: Review Of the Extended Pseudo-newtonian Formalismmentioning

confidence: 99%

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Colliding plane gravitational waves of unequal strength

Abbasi,

Qadir

2023

Gen Relativ Gravit

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Khan and Penrose, and separately Szekeres, presented solutions of colliding impulsive and sandwich plane gravitational waves, respectively. They only considered equal strength waves, which would impart no momentum to test particles in their path on the plane of collision at the time. We had earlier probed both spacetimes using the pseudo-Newtonian (ψN) formalism. In neither case was it really clear what parameter represented the "strength" of the wave. In this paper we identify the required parameter and extend the colliding sandwich plane gravitational wave solution to unequal strengths. Since the impulsive plane waves of Khan and Penrose correspond to a limit of the sandwich waves with the pulse duration tending to zero, we have used the procedure to obtain the generalization of the Khan-Penrose solution to unequal strengths. The resulting spacetimes are exact solutions of vacuum field equations.

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Section: Review Of the Extended Pseudo-newtonian Formalismmentioning

confidence: 99%

Section: Review Of the Extended Pseudo-newtonian Formalismmentioning

confidence: 99%

Colliding plane gravitational waves of unequal strength

Abbasi,

Qadir

2023

Gen Relativ Gravit

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“…The metric symmetries do not automatically extend to other curvature functions [1][2][3][4] or to matter sources in the spacetime [5][6][7][8][9][10][11][12][13]. For a fluid with unit flow vector Ûa and a CKV satisfying Eq.…”

Section: Introductionmentioning

confidence: 99%

Generalized Inheritance

Krisch¹,

Glass²

2015

Preprint

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Colliding Plane Gravitational Waves of Unequal Strength

Abbasi

Qadir

2023

Preprint

View full text Add to dashboard Cite

Khan and Penrose, and separately Szekeres, presented solutions of colliding impulsive and sandwich plane gravitational waves, respectively. They only considered equal strength waves, which would impart no momentum to test particles in their path on the plane of collision at the time. We had earlier probed both spacetimes using the pseudo-Newtonian (ψN) formalism. In neither case was it really clear what parameter represented the “strength” of the wave. In this paper we identify the required parameter and extend the colliding sandwich plane gravitational wave solution to unequal strengths. Since the impulsive plane waves of Khan and Penrose correspond to a limit of the sandwich waves with the pulse duration tending to zero, we have used the procedure to obtain the generalization of the Khan-Penrose solution to unequal strengths. The resulting spacetimes are exact solutions of vacuum field equations.

show abstract

Matter Symmetries of Non-Static Plane Symmetric Spacetimes

Cited by 3 publications

References 15 publications

Colliding plane gravitational waves of unequal strength

Colliding plane gravitational waves of unequal strength

Generalized Inheritance

Colliding Plane Gravitational Waves of Unequal Strength

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