Solution of Einstein's Field Equations for a Rotating, Stationary, and Dust-Filled Universe

Wright, James P.

doi:10.1063/1.1704246

Cited by 32 publications

(3 citation statements)

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“…6. When it is coupled with a cosmological constant, the solution was first studied by Lanczos [213], then by Wright [331], Krasimski [207], Santos [275], and Pereira, Santos and Wang [258], among many others. One of the remarkable features is that the confinement of particles near the symmetry axis.…”

Section: Discussionmentioning

confidence: 99%

“…The Lewis vacuum solution is the generalization of the static LC solution to the case with rotation, and has been reviewed in section 6. When it is coupled with a cosmological constant, the solution was rst studied by Lanczos [213], then by Wright [331], Krasinski [207], Santos [275], and Pereira, Santos and Wang [258], among many others. One of the remarkable features is the con nement of particles near the symmetry axis.…”

Section: Discussionmentioning

confidence: 99%

“…In the following, using the five-parameter class of Wright solutions [331] as an example, we shall show the generic properties of the confinements of test particles in rotating spacetimes. For this purpose, let us first note that the Gödel solution given by (7.15) belongs to one of the two classes of solutions found by Wright in [331]. The other class of Wright solutions contains five free parameters, and can be cast in the form [258],…”

Section: Geodesic Motion Confinement and Extragalactic Jet Formationmentioning

confidence: 99%

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Cylindrical systems in general relativity

Бронников

Santos

Wang

2020

Class. Quantum Grav.

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With the arrival of the era of gravitational wave astronomy, the strong gravitational field regime will be explored soon in various aspects. In this article, we provide a general review over cylindrical systems in Einstein's theory of general relativity. In particular, we first review the general properties, both local and global, of several important solutions of Einstein's field equations, including the Levi-Civita and Lewis solutions and their extensions to include the cosmological constant and matter fields, and pay particular attention to properties that represent the generic features of the theory, such as the formation of the observed extragalactic jets and gravitational Faraday rotation. We also review studies of cylindrical wormholes, gravitational collapse and Hoop conjecture, and polarizations of gravitational waves. In addition, by rigorously defining cylindrically symmetric spacetimes, we clarify various (incorrect) claims existing in the literature, regarding to the generality of such spacetimes.

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Section: Discussionmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

Section: Geodesic Motion Confinement and Extragalactic Jet Formationmentioning

confidence: 99%

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Cylindrical systems in general relativity

Бронников

Santos

Wang

2020

Class. Quantum Grav.

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Generalized Gödel Universe with Heavy Photons

Dyllong

1979

Astron Nachr

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An exact solution of EINSTEIN'S field equations with cosmological constant coupled with the field equations of a massive vector field is given. The model has zero expansion and shear, but nonvanishing constant rotation.Es wird cine strenge Losung des EINSTEIN-PRocA-Systems mit kosmologischern Glied angegeben. Die Losung weist keine Expansion und Scherung, aber eine konstante Rotation auf. Einstein-Proca equations with cosmological constantPROCA'S field equations (e.g. IWANENKO and SOKOLOV 1953) FrE + p2AP = o were interpreted differently in the past. We refer here to the interpretation of these equations by heavyphotons, which was the cause for controverses in the last time (e.g. TREDER 1977). Further we point to the interpretation by massive vector mesons. In particular, it was shown by TAUBER (1969) that massive vector mesons cannot be described phenomenologically by a perfect fluid in terms of a pressure and density only, but involves at least an additional term describing stresses in the energy-momentum tensor. All things considered, it seems desirable to investigate the interaction of heavy photons or massive vector mesons with the gravitational field. Here we want to give an exact solution of PROCA'S equations (I)-(4) coupled with EINSTEIN'S equationswhere A is the cosmological constant. We use throughout the space-like-convention by MISNER, THORNE and WHEELER (1973). Equations (5) can be also written in the formThe system (I), (2) can be only integrated, when the condition is fulfilled.A f a = o Generalized Godel universe and the field equationsStarting point is a line element of the form

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Stationary Universe in General Relativity and Lyra's Geometry

Singh

Agrawal

1994

Fortschr. Phys.

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The stationary universe solutions have been studied using the metrics of VAN STOCKUM (1937) and GODEL (1949) in a New ST theory (SAEZ and BALLESTER, 1985), general relativity with variable cosmological term (NARLIKAR eta]., 1991), Lyra's geometry (SEN, 1957) and Cosmic strings. It has been shown that the stationary universe has rigid rotation in ST theory. In the presence of variable cosmological term, there is non-rigid rotation in the presence of Zeldovich fluid for van Stockum metric. In Lyra's geometry the only solution is possible when the gauge function / 3 is variable and there is Zeldovich fluid. However, in the presence of cosmic strings, there is no solution with van Stockum or Godel metrics.

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Solution of Einstein's Field Equations for a Rotating, Stationary, and Dust-Filled Universe

Cited by 32 publications

References 1 publication

Cylindrical systems in general relativity

Cylindrical systems in general relativity

Generalized Gödel Universe with Heavy Photons

Stationary Universe in General Relativity and Lyra's Geometry

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