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PreprintCC0arXiv

Models of exponential and power-law acceleration of the Universe in Horndeski theory without ghosts and Laplace instabilities

  • Ruslan K. Muharlyamov
  • Tatiana N. Pankratyeva
  • Shehabaldeen O. A. Bashir
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Abstract

We present a designer method for flat Friedman-Robertson-Walker space-times within the framework of Horndeski's scalar-tensor theory. As a result, one can find subclasses of Horndeski's scalar-tensor theory within which cosmological solutions exist without ghosts and Laplace instabilities. As an example, we found subclasses of Horndeski's theory for exponential and power-law inflation models of the Universe without pathologies.

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Cite

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BibTeX
@misc{muharlyamov2026models,
  title = {{Models of exponential and power-law acceleration of the Universe in Horndeski theory without ghosts and Laplace instabilities}},
  author = {Ruslan K. Muharlyamov and Tatiana N. Pankratyeva and Shehabaldeen O. A. Bashir},
  howpublished = {arXiv},
  year = {2026},
  month = jun,
  doi = {10.48550/arxiv.2606.03408},
  eprint = {2606.03408},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2606.03408},
  note = {CC0},
}
RIS
TY  - UNPB
TI  - Models of exponential and power-law acceleration of the Universe in Horndeski theory without ghosts and Laplace instabilities
AU  - Ruslan K. Muharlyamov
AU  - Tatiana N. Pankratyeva
AU  - Shehabaldeen O. A. Bashir
PY  - 2026
DA  - 2026/06/02
PB  - arXiv
DO  - 10.48550/arxiv.2606.03408
UR  - https://arxiv.org/abs/2606.03408
AB  - We present a designer method for flat Friedman-Robertson-Walker space-times within the framework of Horndeski's scalar-tensor theory. As a result, one can find subclasses of Horndeski's scalar-tensor theory within which cosmological solutions exist without ghosts and Laplace instabilities. As an example, we found subclasses of Horndeski's theory for exponential and power-law inflation models of the Universe without pathologies.
ER  -