Einstein-Maxwell Spacetime with Two Commuting Spacelike Killing Vector Fields and Newman-Penrose Formalism

Kuang, Zhiquan; Lau, Yun-Kau; Wu, Xiao-Ning

doi:10.1023/a:1026780909444

Cited by 3 publications

(3 citation statements)

References 3 publications

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“…Further, the Newman-Penrose equations consisting of a system of coupled differential equations may be reduced drastically to a second-order linear ODE of Sturm-Liouville type (detailed derivation is in Ref. [3], see also Ref. [4]), given by…”

Section: Description Of Exact Solutionmentioning

confidence: 99%

Solitonic Information Transmission in General Relativity

Wang

et al. 2007

Commun. Theor. Phys.

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Section: Description Of Exact Solutionmentioning

confidence: 99%

Solitonic Information Transmission in General Relativity

Wang

et al. 2007

Commun. Theor. Phys.

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“…Using the explicit form of the spin coefficients listed in Eqs (3), ( 4), ( 6), (8), (11), (12) and by the hypotheses that </ = 0 and spacetime is vacuum (the non-vacuum condition has been discussed in Ref. [5]), the NP equations may be reduced to…”

Section: Reduction Of Np Equationsmentioning

confidence: 99%

Newman-Penrose Formalism and Gravitational Impulsive and Shock Waves

ZhenXing¹,

ZhiQuan²,

Liang³

et al. 2000

Commun. Theor. Phys.

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Vacuum spacetimes endowed with two commuting spacelike Killing vector fields are considered. Subject to the hypothesis that there exists a shearfree null geodesic congruence orthogonal to the two-surface generated by the two commuting spacelike Killing vector Gelds, it is shown that, with a specific choice of null tetrad, the Newman-Penrose equations are reduced to an ordinary differential equation of Riccati type. From the consideration of this differential equation, exact solutions of the vacuum Einstein field equations with distribution valued Weyl curvature describing the propagation of gravitational impulsive and shock wave of variable polarization are then constructed.

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“…The NP equations only require 𝜔 and 𝜒 to be a function of 𝑢 [5] and may be regarded as a free parameter in the spacetime metric. Here, 𝜔 ̸ = 0 means that the two Killing vectors are not orthogonal to each other and this generates non-trivial polarization for the gravitational wave; 𝜒 describes the freedom in specifying the norm of (𝜕/𝜕𝑦) 𝑎 and is governed by Eq.…”

mentioning

confidence: 99%

Resonant Scattering of Gravitational Waves with Electromagnetic Waves

Yan 闫,

Lau 刘

2023

Chinese Phys. Lett.

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A certain class of exact solutions of Einstein Maxwell spacetime in general relativity is discussed which demonstrates at the level of theory that, when certain parametric resonance condition is met, the interaction of electromagnetic field with a gravitational wave will display certain Liapounov instability and lead to exponential amplification of a gravitational wave train described by certain Newman-Penrose component of the Weyl curvature. In some way akin to a free electron laser in electromagnetic theory, by the conversion of electromagnetic energy into gravitational energy in a coherent way, the feasibility of generating a pulsed laser like intense beam of gravitational wave is displayed.

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Einstein-Maxwell Spacetime with Two Commuting Spacelike Killing Vector Fields and Newman-Penrose Formalism

Cited by 3 publications

References 3 publications

Solitonic Information Transmission in General Relativity

Solitonic Information Transmission in General Relativity

Newman-Penrose Formalism and Gravitational Impulsive and Shock Waves

Resonant Scattering of Gravitational Waves with Electromagnetic Waves

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