Closed gravitational−wave universes: Analytic solutions with two−parameter symmetry

Gowdy, Robert H.

doi:10.1063/1.522529

Cited by 20 publications

(15 citation statements)

References 3 publications

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“…They may therefore be considered as Gowdy-type space-times [20], [21]. It can readily be verified that here the regularity conditions across the null hypersurface η = ζ are satisfied.…”

Section: Toroidal Waves In a Closed Frw Modelmentioning

confidence: 82%

Gravitational Waves Propagating into Friedmann–Robertson–Walker Universes

Bičák

Griffiths

1996

Annals of Physics

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“…They may therefore be considered as Gowdy-type space-times [20], [21]. It can readily be verified that here the regularity conditions across the null hypersurface η = ζ are satisfied.…”

Section: Toroidal Waves In a Closed Frw Modelmentioning

confidence: 82%

Gravitational Waves Propagating into Friedmann–Robertson–Walker Universes

Bičák

Griffiths

1996

Annals of Physics

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“…However, it was common knowledge among relativists that gravitational waves (which have T μν = 0) carry both energy and angular momentum, and their energy too must have inertia. In fact, Gowdy (1975) has produced a closed universe solution of Einstein's equations, which is closed by the gravity of the gravitational waves in it whose stress tensor is zero everywhere. Jiri Bicak has great expertise in gravitational waves.…”

Section: Einstein Also Wrotementioning

confidence: 99%

Searching for Insight

Lynden-Bell

2010

Annu. Rev. Astron. Astrophys.

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Is space-time only brought into being by its energy content? The jury is still out, but other questions that have been with me for much of my lifegiant black holes in galactic nuclei, the formation of the Galaxy, the connection between first-order phase transitions and negative specific heats, the cause of the large-scale flow of galaxies relative to the cosmic microwave background-have all received reasonable answers. I have found great fun in understanding the dynamical mechanisms underlying such phenomena as magnetohydrodynamic jets, relativistic disks, and the bars, spirals, and chemical evolution of galaxies. The great challenges for future astronomers will be the exploration of the 96% of the Universe now believed to be neither atomic nor baryonic but perhaps partially leptonic. However, most advances do not come via frontal attack but from "bread-and-butter" investigations in related areas where observation is possible today! SCIENTIFIC PHILOSOPHYGod is truth, so the truth is a way to God. So argued the late medieval monks and it opened the way to the support of study not only in theology but also in natural philosophy (the name science was coined later). William of Occam was a monk living in Surrey in the years 1285-1349. He devised one of the most important principles for the advancement of natural knowledge. Even today, Occam's razor is often too sharp for the most imaginative but it remains a vital tool in the development of science. It does not show us a direct way to truth, but its economy of hypotheses curtails theorists' wild castles in the air. Newton (Newton 1730) thought that his studies of natural philosophy revealed something about the nature of God. By contrast, Darwin was fearful of the religious reaction to his work, which did indeed lead to a mighty revolution in theological thought that has still not percolated to all of Christendom! As scientists, we must be led by curiosity over the mechanism of the natural world, but doing bread-and-butter science, straightforward extensions of what is known in order to elucidate new phenomena, is the main job. We should not spend all our time groping at great problems that may be beyond our capacity. Too often those of great intellect spend all their time so doing, achieve little, and become disillusioned when they could have achieved much. Although few of us now see the search for a deeper understanding of natural philosophy as a search for God, to which A.S. Eddington saw parallels in his work (Eddington 1929), many of us find those parts of science that have a bearing on philosophy to be among the most interesting (e.g., Penrose 2005).Ideas are not readily described through the positions and motions of particles and fields but, as in philosophy, ideas and questioning are the gist of all science. I am not ashamed to ask questions that others claim are nonsensical and have gathered some at the end of this review. Knowing how often I have not seen the obvious implications of my own work, I regard all mankind, myself included, as somewhat sho...

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“…Various generalizations of the Kerr solution have been done (see, e.g., [16] and [2]). Gowdy [6]- [7] constructed a new kind of solutions of the vacuum Einstein's equations, these solutions provide a new type of cosmological model. This model describes a closed inhomogeneous universe, space sections of these universes have either the three-sphere topology S 3 or the wormhole (hypertorus) topology S 1 ⊗ S 2 .…”

mentioning

confidence: 99%

“…According to the authors' knowledge, (6) gives the first time-periodic solution to the Einstein's field equations. Here we would like to point out that, by using our method, we can re-derive almost all known exact solutions to the vacuum Einstein's field equations, for examples, Gödel's solution [5], Khan-Penrose's solution [11], Gowdy's solution [6]- [7], etc. Our method can also be used to find exact solutions of the Einstein's field equations in higher dimensions which will be of interests in string theory.…”

mentioning

confidence: 99%