A $$1+5$$ 1 + 5 -dimensional gravitational-wave solution: curvature singularity and spacetime singularity

Chen, Yuzhu; Li, Wen-Du; Dai, Wu-Sheng

doi:10.1140/epjc/s10052-017-5341-4

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Event Horizon and Infinite-redshift Surface1

Cylindrical Gravitational Wave: General Solution1

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2024

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Cited by 2 publications

(2 citation statements)

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“…Next we calculate the Riemann tensor in the orthonormal frame. In the orthonormal frame, the 1 + n-dimensional metric is ds 2 = − θ 0 2 + n i =1 θ i 2 with θ 0 and θ i the 1-form, which is independent of the coordinate [53]. In this case, we have…”

Section: Event Horizon and Infinite-redshift Surfacementioning

confidence: 99%

Mach’s principle-based model of the origin of mass

Chen,

Liu,

Chen

et al. 2024

Class. Quantum Grav.

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In this paper, we present a Mach&amp;rsquo;s principle-based model of the origin of mass. According to Mach’s principle, the mass of matter arises from the coupling with the rest of the universe rather than being an inherent property of matter itself. This model, in a sense, provides a model realization of Mach’s principle. In this model, the mass of matter is determined by spacetime. We illustrate the model by solving exact solutions in various spacetimes, such as static spherical, Robertson-Walker, and static cylindrical spacetimes.

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Section: Event Horizon and Infinite-redshift Surfacementioning

confidence: 99%

Mach’s principle-based model of the origin of mass

Chen,

Liu,

Chen

et al. 2024

Class. Quantum Grav.

Self Cite

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“…The Einstein tensor G µν = R µν − 1 2 η µν R with η µν = diag(−1, 1, 1, 1) in the orthogonal frame [33] is the following.…”

Section: Cylindrical Gravitational Wave: General Solutionmentioning

confidence: 99%

Cylindrical Gravitational Wave: Source and Resonance

Chen

et al. 2021

Symmetry

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Gravitational waves are regarded as linear waves in the weak field approximation, which ignores the spacetime singularity. In this paper, we analyze singularities in exact gravitational wave solutions. We provide an exact general solution of the gravitational wave with cylindrical symmetry. The general solution includes some known cylindrical wave solutions as special cases. We show that there are two kinds of singularities in the cylindrical gravitational wave solution. The first kind of singularity corresponds to a singular source. The second kind of singularity corresponds to a resonance between different gravitational waves. When two gravitational waves coexist, the interference term in the source may vanish in the sense of time averaging.

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A $$1+5$$ 1 + 5 -dimensional gravitational-wave solution: curvature singularity and spacetime singularity

Cited by 2 publications

References 50 publications

Mach’s principle-based model of the origin of mass

Mach’s principle-based model of the origin of mass

Cylindrical Gravitational Wave: Source and Resonance

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