Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Starobinsky Inflation and Dark Energy and Dark Matter Effects from
  Quasicrystal Like Spacetime Structures   The goal of this work on mathematical cosmology and geometric methods in
modified gravity theories, MGTs, is to investigate Starobinsky-like inflation
scenarios determined by gravitational and scalar field configurations mimicking
quasicrystal, QC, like structures. Such spacetime aperiodic QCs are different
from those discovered and studied in solid state physics but described by
similar geometric methods. We prove that an inhomogeneous and locally
anisotropic gravitational and matter field effective QC mixed continuous and
discrete "aether" can be modeled by exact cosmological solutions in MGTs and
Einstein gravity. The coefficients of corresponding generic off-diagonal
metrics and generalized connections depend (in general) on all spacetime
coordinates via generating and integration functions and certain smooth and
discrete parameters. Imposing additional nonholonomic constraints, prescribing
symmetries for generating functions and solving the boundary conditions for
integration functions and constants, we can model various nontrivial torsion QC
structures or extract cosmological Levi--Civita configurations with diagonal
metrics reproducing de Sitter (inflationary) like and other types homogeneous
inflation and acceleration phases. Finally, we speculate how various dark
energy and dark matter effects can be modeled by off-diagonal interactions and
deformations of a nontrivial QC like gravitational vacuum structure and
analogous scalar matter fields.

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The categories of this paper are: atom-ph
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The categories of this paper are: adap-org
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The categories of this paper are: astro-ph
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The categories of this paper are: math-ph
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The categories of this paper are: hep-th
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The categories of this paper are: acc-phys
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The categories of this paper are: q-fin
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The categories of this paper are: econ
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The categories of this paper are: quant-ph
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The categories of this paper are: eess
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The categories of this paper are: ao-sci
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The categories of this paper are: patt-sol
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: plasm-ph