Inhomogeneous cosmologies with cosmological constant

Barrow, John D.; Stein-Schabes, Jaime A.

doi:10.1016/0375-9601(84)90467-5

Cited by 148 publications

(178 citation statements)

References 10 publications

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“…Now from (73) and (55), (54) one sees that ∂ 2 h 2 = ∂ 3 h 2 = 0, while with (69), (70) and (19) one immediately deduces from [∂ 0 , ∂ 1 ]θ that also ∂ 1 h 2 = 0, whence q 1 = r 1 = 0 by (73) and (54). From the (α + 1 α − 1) field equations and 2 1 2 3 , [∂ 1 , ∂ 2 ]n 2 and [∂ 3 , ∂ 1 ]n 2 one deduces q 3 = r 2 = 0 and ∂ α n 2 = 0 (alternatively, ∂ α n 2 = ∂ α H 22 = 0 follows from (74) and (75), whence r 2 = q 3 = 0 by (24), but the previous reasoning is more generally valid, cf.…”

Section: Existence and Propertiesmentioning

confidence: 87%

“…For n 2 = n 3 the Petrov type is D, and it was further deduced in [43] that the corresponding models are spatially homogeneous and LRS III. Note from (97) that any PE model in A is of Petrov type D (with n 2 = n 3 = 0) and was proved [50] to belong to the Szekeres-Szafron family [51,52,53,54]. This family is here characterized as the PE subclass of A, whereas Lozanovski's family [37] forms precisely the PM type D subclass of A.…”

Section: Relaxing the Purely Magnetic Conditionmentioning

confidence: 99%

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Complete classification of purely magnetic, nonrotating, nonaccelerating perfect fluids

Wylleman

Bergh

2006

Phys. Rev. D

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Recently the class of purely magnetic non-rotating dust spacetimes has been shown to be empty (Wylleman, Class. Quant. Grav. 23, 2727). It turns out that purely magnetic rotating dust models are subject to severe integrability conditions as well. One of the consequences of the present paper is that also rotating dust cannot be purely magnetic when it is of Petrov type D or when it has a vanishing spatial gradient of the energy density. For purely magnetic and non-rotating perfect fluids on the other hand, which have been fully classified earlier for Petrov type D (Lozanovski, Class. Quant. Grav. 19, 6377), the fluid is shown to be non-accelerating if and only if the spatial density gradient vanishes. Under these conditions, a new and algebraically general solution is found, which is unique up to a constant rescaling, which is spatially homogeneous of Bianchi type V I0, has degenerate shear and is of Petrov type I(M ∞ ) in the extended Arianrhod-McIntosh classification.The metric and the equation of state are explicitly constructed and properties of the model are briefly discussed. We finally situate it within the class of normal geodesic flows with degenerate shear tensor.

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Section: Existence and Propertiesmentioning

confidence: 87%

Section: Relaxing the Purely Magnetic Conditionmentioning

confidence: 99%

Complete classification of purely magnetic, nonrotating, nonaccelerating perfect fluids

Wylleman

Bergh

2006

Phys. Rev. D

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“…The Einstein field equations for a perfect fluid imply To obtain a dust source with cosmological constant, we set p(t) = −Λ and then from [3] or [11] we finḋ…”

Section: The Szekeres Solutionsmentioning

confidence: 99%

[untitled]

Mena¹,

Natário²,

Paul³

2008

Advances in Theoretical and Mathematical Physics

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We match collapsing inhomogeneous as well as spatially homogeneous but anisotropic spacetimes to vacuum static exteriors with a negative cosmological constant and planar or hyperbolic symmetry. The collapsing interiors include the inhomogeneous solutions of Szekeres and of Barnes, which in turn include the Lemaître-Tolman and the McVittie solutions. The collapse can result in toroidal or higher genus asymptotically AdS black holes.e-print archive: http://arxiv.org/abs/0707.2519

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“…The exterior expansion of k(r) can be found using the exact solutions for the Szekeres metrics with cosmological constant [19]. Since H…”

Section: A the Exterior Limitmentioning

confidence: 99%

Observable effects of scalar fields and varying constants

Barrow

Shaw

2007

Gen Relativ Gravit

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We show by using the method of matched asymptotic expansions that a sufficient condition can be derived which determines when a local experiment will detect the cosmological variation of a scalar field which is driving the spacetime variation of a supposed constant of Nature. We extend our earlier analyses of this problem by including the possibility that the local region is undergoing collapse inside a virialised structure, like a galaxy or galaxy cluster. We show by direct calculation that the sufficient condition is met to high precision in our own local region and we can therefore legitimately use local observations to place constraints upon the variation of "constants" of Nature on cosmological scales.

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Inhomogeneous cosmologies with cosmological constant

Cited by 148 publications

References 10 publications

Complete classification of purely magnetic, nonrotating, nonaccelerating perfect fluids

Complete classification of purely magnetic, nonrotating, nonaccelerating perfect fluids

[untitled]

Observable effects of scalar fields and varying constants

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