UNIQUENESS OF PETROV TYPE D SPATIALLY INHOMOGENEOUS IRROTATIONAL SILENT MODELS

Author:

APOSTOLOPOULOS PANTELIS S.1,CAROT JAUME1

Affiliation:

1. Departament de Física, Universitat de les Illes Balears, Cra. Valldemossa Km 7.5, E-07122 Palma de Mallorca, Spain

Abstract

The consistency of the constraint with the evolution equations for spatially inhomogeneous and irrotational silent (SIIS) models of Petrov type I, demands that the former are preserved along the timelike congruence represented by the velocity of the dust fluid, leading to new nontrivial constraints. This fact has been used to conjecture that the resulting models correspond to the spatially homogeneous (SH) models of Bianchi type I, at least for the case where the cosmological constant vanish. By exploiting the full set of the constraint equations as expressed in the 1+3 covariant formalism and using elements from the theory of the spacelike congruences, we provide a direct and simple proof of this conjecture for vacuum and dust fluid models, which shows that the Szekeres family of solutions represents the most general class of SIIS models. The suggested procedure also shows that, the uniqueness of the SIIS of the Petrov type D is not, in general, affected by the presence of a nonzero pressure fluid. Therefore, in order to allow a broader class of Petrov type I solutions apart from the SH models of Bianchi type I, one should consider more general "silent" configurations by relaxing the vanishing of the vorticity and the magnetic part of the Weyl tensor but maintaining their "silence" properties, i.e. the vanishing of the curls of Eab, Hab and the pressure p.

Publisher

World Scientific Pub Co Pte Lt

Subject

Astronomy and Astrophysics,Nuclear and High Energy Physics,Atomic and Molecular Physics, and Optics

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3. Intrinsic conformal symmetries in Szekeres models;Modern Physics Letters A;2017-05-25

4. Szekeres models: a covariant approach;Classical and Quantum Gravity;2017-04-06

5. Average expansion rate and light propagation in a cosmological Tardis spacetime;Journal of Cosmology and Astroparticle Physics;2013-12-23

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