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Constraining generalized non-local cosmology from Noether symmetries.

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This study explores a generalized non-local gravity theory, revealing that essential exponential coupling functions arise naturally from symmetries, not by hand. This leads to new cosmological solutions in non-local gravity models.

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Area of Science:

  • Cosmology
  • Theoretical Physics
  • Gravitational Theory

Background:

  • Non-local theories of gravity offer alternatives to standard models.
  • Renormalizability in some non-local theories requires specific exponential coupling functions.
  • The origin of these necessary couplings has been an open question.

Purpose of the Study:

  • To investigate a generalized non-local theory of gravity.
  • To determine the origin and form of coupling functions within this theory.
  • To find cosmological solutions derived from the theory's symmetries.

Main Methods:

  • Application of the Noether symmetry approach to a generalized non-local gravity Lagrangian.
  • Analysis of the resulting constraints on non-local coupling functions.
  • Derivation of cosmological solutions in both specific limits and the full theory.

Main Results:

  • Noether symmetries constrain non-local coupling functions to be exponential or linear.
  • Exponential couplings, crucial for renormalizability, emerge naturally from symmetries.
  • De Sitter and power-law cosmological solutions were found for various non-local theories.

Conclusions:

  • The study demonstrates that essential non-local couplings are not artificial but arise from fundamental symmetries.
  • The generalized non-local theory naturally accommodates necessary couplings and yields viable cosmological solutions.
  • This work provides a deeper understanding of non-local gravity and its cosmological implications.