Journal ArticleDOI
Inhomogeneous cosmologies: New exact solutions and their evolution
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In this article, an algorithm for determining all solutions of the Einstein field equations representing a perfect fluid with metric of the form ds2=dt2−e2αdz2 −e2β(dx2+dy2) and fluid flow vector u=∂/∂t is presented.Abstract:
An algorithm is presented for determining all solutions of the Einstein field equations representing a perfect fluid with metric of the form ds2=dt2−e2αdz2 −e2β(dx2+dy2) and fluid flow vector u=∂/∂t The entire class of solutions is then invariantly characterized These new solutions generalize Szekeres’ inhomogeneous cosmological models containing dust A subclass of these solutions is studied in detail and it is interesting that some of these models approach isotropy but not homogeneity for large cosmological timesread more
Citations
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Singularity Theorems and Their Consequences
TL;DR: A detailed study of the singularity theorems is presented in this article, where the authors discuss the plausibility and reasonability of their hypotheses, applicability and implications of singularity theories, as well as the theorem itself.
Journal ArticleDOI
Inhomogeneous cosmological models: exact solutions and their applications
TL;DR: In this article, the importance of an inhomogeneous framework in the analysis of cosmological observations is discussed and a review of the recent developments in the field is presented, which shows that inhomogeneities are not an alternative to the FLRW models, but an exact perturbation of the latter.
Journal ArticleDOI
Singularity Theorems and Their Consequences
TL;DR: A 20-year old review on singularities and singularity theorems is presented in this paper, where the plausibility and reasonability of their hypotheses, applicability and implications of the singularity The consequences usually extracted from them, some of them without the necessary rigour, are widely and carefully analysed with many clarifying examples and alternative views.
Journal ArticleDOI
Inhomogeneous cosmologies with cosmological constant
John D. Barrow,J. Stein-Schabes +1 more
TL;DR: In this paper, a new class of exact inhomogeneous solutions to Einstein's equations with non-zero cosmological constant and zero pressure was given, which generalize the de Sitter space-time and evolve towards a state that is stationary inside the event horizon of any future inextendible time-like curve and confirm the cosmic no hair conjecture.
References
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Journal ArticleDOI
An Approach to Gravitational Radiation by a Method of Spin Coefficients
Ezra T. Newman,Roger Penrose +1 more
TL;DR: In this paper, a spinor affine connection is proposed for general relativity by means of a tetrad or spinor formalism, which is applied to two problems in radiationtheory; a concise proof of a theorem of Goldberg and Sachs and a description of the asymptotic behavior of the Riemann tensor and metric tensor, for outgoing gravitational radiation.
BookDOI
Differentialgleichungen : Lösungsmethoden und Lösungen
TL;DR: A molded plastic bowling pin incorporating a core extending the length of the pin substantially from its base to its head and constituted of a plurality of plastic core elements of varying sizes and shapes such that the composite pin incorporating the same meets the weight distribution standards set by the American Bowling Congress, and a shell having a substantially uniform thickness about the core elements and being integrally molded on and firmly bonded thereto.
Journal ArticleDOI
A class of inhomogeneous cosmological models
TL;DR: All solutions of Einstein's field equations representing irrotational dust and possessing a metric of the formds2=dt2−e2αdr2+e2β(dy2+dz2) are found as mentioned in this paper.