Uniqueness of complete maximal hypersurfaces in spatially open $(n+1)$-dimensional Robertson-Walker spacetimes with flat fiber

Abstract

In this paper, under natural geometric and physical assumptions we provide new uniqueness and non-existence results for complete maximal hypersurfaces in spatially open Robertson-Walker spacetimes whose fiber is flat. Moreover, our results are applied to relevant spacetimes as the steady state spacetime, Einstein-de Sitter spacetime and radiation models.

arXiv comment13 pages. arXiv admin note: text overlap with arXiv:1511.01422, arXiv:1401.7687

References in corpus (5)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• Dynamics of dark energy
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• From Geometry to Numerics: interdisciplinary aspects in mathematical and numerical relativity

Cited by in corpus (4)

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• Stable maximal hypersurfaces in Lorentzian spacetimes
• From holography to the geometry of the spacetime
• Maximal hypersurfaces in Robertson-Walker spacetimes