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Cited by 1,250

The DOI matches its Crossref record; 15 of the 15 references it cites were found in a registry or an index.

Evolution of three-dimensional gravitational waves: Harmonic slicing case

Shibata, Masaru, Nakamura, Takashi·1995·Physical Review D
DOI 10.1103/physrevd.52.5428
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Abstract

We perform numerical simulations of a three-dimensional (3D) time evolution of pure gravitational waves. We use a conformally flat and K=0 initial condition for the evolution of the spacetime. We adopt several slicing conditions to check whether a long time integration is possible in those conditions. For the case in which the amplitude of the gravitational waves is low, a long time integration is possible by using the harmonic slice and the maximal slice, while in the geodesic slice (\ensuremath{\alpha}=1) it is not possible. As in the axisymmetric case and also in the 3D case, gravitational waves with a sufficiently high amplitude collapse by their self-gravity and their final fates seem to be as black holes. In this case, the singularity avoidance property of the harmonic slice seems weak, so that it may be inappropriate for the formation problems of the black hole. By means of the gauge-invariant wave extraction technique we compute the waveform of the gravitational waves at an outer region. We find that the nonlinearity of Einstein gravity induces the higher multipole modes even if only a quadrupole mode exists initially.

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Metadata

Authors
Shibata, M., & Nakamura, T.
Venue
Physical Review D
Publisher
American Physical Society (APS)
Published
1995-11-15
Volume
52
Issue
10
Pages
5428-5444
ISSN
0556-2821 (ISSN-L)
DOI
10.1103/physrevd.52.5428
OpenAlex
W2179614604
Cited by
1,250
References
15
FWCI
3.67
Type
journal article
Language
en
Open access
closed

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