MathDB5 problems
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Conjectured regularity for reciprocal-exponential quasi-de Sitter scale factors
Consider the quasi-de Sitter scale factor … Here extendibility means extendibility of the associated spacetime metric with continuous derivatives. Reciprocal-exponential…
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Reflected-extension conjecture for extendible quasi-de Sitter spacetimes
Let a quasi-de Sitter spacetime admit an extension beyond its past boundary. A reflected extension is an extension obtained by extending the spacetime in a manner analogous to the…
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Higher-curvature equation-of-state conjecture for inhomogeneous anisotropic spacetimes
Consider the inhomogeneous anisotropic setting in which hypothesis (a) of Theorem is replaced by the field equations of a higher-curvature theory, such as one involving powers of t…
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Higher-curvature generalization of the extendibility results for inhomogeneous anisotropic spacetimes
The paper studies extendibility and initial singularities in Lorentzian metrical theories of gravity, with one result in the inhomogeneous anisotropic setting relying explicitly on…
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Conjectured regularity for quasi-de Sitter scale factors of the form
Consider the quasi-de Sitter scale factor … Here extendibility refers to extendibility of the associated spacetime metric across the initial singularity with continuous d…