GLOBAL EXISTENCE TO THE EINSTEIN-SCALAR FIELD SYSTEM ON THE ROBERTSON–WALKER SPACE-TIMES WITH HYPERBOLIC AND SPHERICAL SYMMETRIES

DOI10.1142/S0219891610002074zbMath1190.83013MaRDI QIDQ3560070

Alexis Nangue, Norbert Noutchegueme

Publication date: 19 May 2010

Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)

zbMATH Keywords

asymptotic behaviorlocal existenceglobal existencedifferential systemsscalar field

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.) (83C55) Exact solutions to problems in general relativity and gravitational theory (83C15) Initial value problems for second-order hyperbolic equations (35L15)

Related Items (1)

Global existence of classical static solutions of four dimensional Einstein-Klein-Gordon system

Cites Work

• Unnamed Item
• The nature of singularities in plane symmetric scalar field cosmologies
• The surface-symmetric Einstein–Vlasov system with cosmological constant
• Bounded variation solutions of the spherically symmetric einstein‐scalar field equations
• LOCAL EXISTENCE AND CONTINUATION CRITERIA FOR SOLUTIONS OF THE EINSTEIN–VLASOV-SCALAR FIELD SYSTEM WITH SURFACE SYMMETRY
• Accelerated cosmological expansion due to a scalar field whose potential has a positive lower bound
• Asymptotic behaviour of the Einstein–Vlasov system with a positive cosmological constant
• The Large Scale Structure of Space-Time

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