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Anisotropically Inflating Universes
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We show that in theories of gravity that add quadratic curvature invariants to the Einstein-Hilbert action there exist expanding vacuum cosmologies with positive cosmological constant which do not approach the de Sitter universe. Exact solutions are found which inflate anisotropically. This behaviour is driven by the Ricci curvature invariant and has no counterpart in the general relativistic limit. These examples show that the cosmic no-hair theorem does not hold in these higher-order extensions of general relativity and raises new questions about the ubiquity of inflation in the very early universe and the thermodynamics of gravitational fields.
Forward citations
Cited by 2 Pith papers
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Power-law Bianchi type I inflation with multiple vector fields
Exact power-law Bianchi type I inflationary solutions are found for one scalar field coupled to up to three vector fields, with stability governed by the relative sizes of the gauge-coupling exponents.
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On the stability of de Sitter inflationary solution in the Starobinsky-Bel-Robinson gravity
The exact de Sitter solution of Starobinsky-Bel-Robinson gravity is fixed by the quartic Bel-Robinson coupling alone and is an unstable saddle point for the physically allowed positive sign of the R^2 coefficient.
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