Papers
Topics
Authors
Recent
Assistant
AI Research Assistant
Well-researched responses based on relevant abstracts and paper content.
Custom Instructions Pro
Preferences or requirements that you'd like Emergent Mind to consider when generating responses.
Gemini 2.5 Flash
Gemini 2.5 Flash 43 tok/s
Gemini 2.5 Pro 48 tok/s Pro
GPT-5 Medium 21 tok/s Pro
GPT-5 High 20 tok/s Pro
GPT-4o 95 tok/s Pro
Kimi K2 180 tok/s Pro
GPT OSS 120B 443 tok/s Pro
Claude Sonnet 4.5 32 tok/s Pro
2000 character limit reached

New slow-roll approximations for inflation in Einstein-Gauss-Bonnet gravity (2403.06147v2)

Published 10 Mar 2024 in gr-qc, astro-ph.CO, hep-th, math-ph, and math.MP

Abstract: We propose new slow-roll approximations for inflationary models with the Gauss-Bonnet term. We find more accurate expressions of the standard slow-roll parameters as functions of the scalar field. To check the accuracy of approximations considered we construct inflationary models with quadratic and quartic monomial potentials and the Gauss-Bonnet term. Numerical analysis of these models indicates that the proposed inflationary scenarios do not contradict to the observation data. New slow-roll approximations show that the constructed inflationary models are in agreement with the observation data, whereas one does not get allowed observational parameters at the same values of parameters of the constructed models in the standard slow-roll approximation.

Definition Search Book Streamline Icon: https://streamlinehq.com
References (37)
  1. Planck Collaboration, Y. Akrami et al., “Planck 2018 results. X. Constraints on inflation,” Astron. Astrophys. 641 (2020) A10, arXiv:1807.06211 [astro-ph.CO].
  2. BICEP, Keck Collaboration, P. A. R. Ade et al., “Improved Constraints on Primordial Gravitational Waves using Planck, WMAP, and BICEP/Keck Observations through the 2018 Observing Season,” Phys. Rev. Lett. 127 no. 15, (2021) 151301, arXiv:2110.00483 [astro-ph.CO].
  3. G. Galloni, N. Bartolo, S. Matarrese, M. Migliaccio, A. Ricciardone, and N. Vittorio, “Updated constraints on amplitude and tilt of the tensor primordial spectrum,” JCAP 04 (2023) 062, arXiv:2208.00188 [astro-ph.CO].
  4. A. R. Liddle, P. Parsons, and J. D. Barrow, “Formalizing the slow roll approximation in inflation,” Phys. Rev. D 50 (1994) 7222–7232, arXiv:astro-ph/9408015.
  5. Z.-K. Guo and D. J. Schwarz, “Power spectra from an inflaton coupled to the Gauss-Bonnet term,” Phys. Rev. D 80 (2009) 063523, arXiv:0907.0427 [hep-th].
  6. Z.-K. Guo and D. J. Schwarz, “Slow-roll inflation with a Gauss-Bonnet correction,” Phys. Rev. D 81 (2010) 123520, arXiv:1001.1897 [hep-th].
  7. P.-X. Jiang, J.-W. Hu, and Z.-K. Guo, “Inflation coupled to a Gauss-Bonnet term,” Phys. Rev. D 88 (2013) 123508, arXiv:1310.5579 [hep-th].
  8. S. Koh, B.-H. Lee, W. Lee, and G. Tumurtushaa, “Observational constraints on slow-roll inflation coupled to a Gauss-Bonnet term,” Phys. Rev. D 90 no. 6, (2014) 063527, arXiv:1404.6096 [gr-qc].
  9. G. Hikmawan, J. Soda, A. Suroso, and F. P. Zen, “Comment on “Gauss-Bonnet inflation”,” Phys. Rev. D 93 no. 6, (2016) 068301, arXiv:1512.00222 [hep-th].
  10. C. van de Bruck and C. Longden, “Higgs Inflation with a Gauss-Bonnet term in the Jordan Frame,” Phys. Rev. D 93 no. 6, (2016) 063519, arXiv:1512.04768 [hep-ph].
  11. C. van de Bruck, K. Dimopoulos, and C. Longden, “Reheating in Gauss-Bonnet-coupled inflation,” Phys. Rev. D 94 no. 2, (2016) 023506, arXiv:1605.06350 [astro-ph.CO].
  12. S. Koh, B.-H. Lee, and G. Tumurtushaa, “Reconstruction of the Scalar Field Potential in Inflationary Models with a Gauss-Bonnet term,” Phys. Rev. D 95 no. 12, (2017) 123509, arXiv:1610.04360 [gr-qc].
  13. J. Mathew and S. Shankaranarayanan, “Low scale Higgs inflation with Gauss–Bonnet coupling,” Astropart. Phys. 84 (2016) 1–7, arXiv:1602.00411 [astro-ph.CO].
  14. S. Chakraborty, T. Paul, and S. SenGupta, “Inflation driven by Einstein-Gauss-Bonnet gravity,” Phys. Rev. D 98 no. 8, (2018) 083539, arXiv:1804.03004 [gr-qc].
  15. Z. Yi, Y. Gong, and M. Sabir, “Inflation with Gauss-Bonnet coupling,” Phys. Rev. D 98 no. 8, (2018) 083521, arXiv:1804.09116 [gr-qc].
  16. S. D. Odintsov and V. K. Oikonomou, “Viable Inflation in Scalar-Gauss-Bonnet Gravity and Reconstruction from Observational Indices,” Phys. Rev. D 98 no. 4, (2018) 044039, arXiv:1808.05045 [gr-qc].
  17. S. Koh, B.-H. Lee, and G. Tumurtushaa, “Constraints on the reheating parameters after Gauss-Bonnet inflation from primordial gravitational waves,” Phys. Rev. D 98 no. 10, (2018) 103511, arXiv:1807.04424 [astro-ph.CO].
  18. K. Kleidis and V. K. Oikonomou, “A Study of an Einstein Gauss-Bonnet Quintessential Inflationary Model,” Nucl. Phys. B 948 (2019) 114765, arXiv:1909.05318 [gr-qc].
  19. N. Rashidi and K. Nozari, “Gauss-Bonnet Inflation after Planck2018,” Astrophys. J. 890 (1, 2020) 58, arXiv:2001.07012 [astro-ph.CO].
  20. E. O. Pozdeeva, “Generalization of cosmological attractor approach to Einstein–Gauss–Bonnet gravity,” Eur. Phys. J. C 80 no. 7, (2020) 612, arXiv:2005.10133 [gr-qc].
  21. E. O. Pozdeeva, M. R. Gangopadhyay, M. Sami, A. V. Toporensky, and S. Y. Vernov, “Inflation with a quartic potential in the framework of Einstein-Gauss-Bonnet gravity,” Phys. Rev. D 102 no. 4, (2020) 043525, arXiv:2006.08027 [gr-qc].
  22. E. O. Pozdeeva and S. Y. Vernov, “Construction of inflationary scenarios with the Gauss–Bonnet term and nonminimal coupling,” Eur. Phys. J. C 81 no. 7, (2021) 633, arXiv:2104.04995 [gr-qc].
  23. V. K. Oikonomou, “A refined Einstein–Gauss–Bonnet inflationary theoretical framework,” Class. Quant. Grav. 38 no. 19, (2021) 195025, arXiv:2108.10460 [gr-qc].
  24. E. O. Pozdeeva, “Deviation from Slow-Roll Regime in the EGB Inflationary Models with r ∼similar-to\sim∼ Ne−--1,” Universe 7 no. 6, (2021) 181, arXiv:2105.02772 [gr-qc].
  25. Y. Younesizadeh and F. Younesizadeh, “Special power-law inflation in the Einstein-Gauss-Bonnet gravity,” Astrophys. Space Sci. 366 no. 10, (2021) 96.
  26. S. D. Odintsov, D. Saez-Chillon Gomez, and G. S. Sharov, “Testing viable extensions of Einstein–Gauss–Bonnet gravity,” Phys. Dark Univ. 37 (2022) 101100, arXiv:2207.08513 [gr-qc].
  27. V. K. Oikonomou, P. D. Katzanis, and I. C. Papadimitriou, “Bottom-up reconstruction of viable GW170817 compatible Einstein–Gauss–Bonnet theories,” Class. Quant. Grav. 39 no. 9, (2022) 095008, arXiv:2203.09867 [gr-qc].
  28. R. Kawaguchi and S. Tsujikawa, “Primordial black holes from Higgs inflation with a Gauss-Bonnet coupling,” Phys. Rev. D 107 no. 6, (2023) 063508, arXiv:2211.13364 [astro-ph.CO].
  29. M. R. Gangopadhyay, H. A. Khan, and Yogesh, “A case study of small field inflationary dynamics in the Einstein–Gauss–Bonnet framework in the light of GW170817,” Phys. Dark Univ. 40 (2023) 101177, arXiv:2205.15261 [astro-ph.CO].
  30. S. D. Odintsov, V. K. Oikonomou, and F. P. Fronimos, “Inflationary Dynamics and Swampland Criteria for Modified Gauss-Bonnet Gravity Compatible with GW170817,” Phys. Rev. D 107 (2023) 08, arXiv:2303.14594 [gr-qc].
  31. S. Nojiri, S. D. Odintsov, and D. Sáez-Chillón Gómez, “Unifying inflation with early and late dark energy in Einstein–Gauss–Bonnet gravity,” Phys. Dark Univ. 41 (2023) 101238, arXiv:2304.08255 [gr-qc].
  32. S. D. Odintsov and T. Paul, “From inflation to reheating and their dynamical stability analysis in Gauss–Bonnet gravity,” Phys. Dark Univ. 42 (2023) 101263, arXiv:2305.19110 [gr-qc].
  33. V. K. Oikonomou, P. Tsyba, and O. Razina, “Einstein–Gauss–Bonnet cosmological theories at reheating and at the end of the inflationary era,” Annals Phys. 462 (2024) 169597, arXiv:2401.11273 [gr-qc].
  34. E. O. Pozdeeva, M. Sami, A. V. Toporensky, and S. Y. Vernov, “Stability analysis of de Sitter solutions in models with the Gauss-Bonnet term,” Phys. Rev. D 100 no. 8, (2019) 083527, arXiv:1905.05085 [gr-qc].
  35. S. Vernov and E. Pozdeeva, “De Sitter Solutions in Einstein–Gauss–Bonnet Gravity,” Universe 7 no. 5, (2021) 149, arXiv:2104.11111 [gr-qc].
  36. A. D. Linde, “A New Inflationary Universe Scenario: A Possible Solution of the Horizon, Flatness, Homogeneity, Isotropy and Primordial Monopole Problems,” Phys. Lett. B 108 (1982) 389–393.
  37. A. D. Linde, “Chaotic Inflation,” Phys. Lett. B 129 (1983) 177–181.
Citations (1)
View on Semantic Scholar

Summary

We haven't generated a summary for this paper yet.

Ai Sparkles Streamline Icon: https://streamlinehq.com Summarize Now
Lightbulb Streamline Icon: https://streamlinehq.com

Continue Learning

We haven't generated follow-up questions for this paper yet.

Ai Sparkles Streamline Icon: https://streamlinehq.com Generate Now
List To Do Tasks Checklist Streamline Icon: https://streamlinehq.com

Collections

Sign up for free to add this paper to one or more collections.

User Circle Single Streamline Icon: https://streamlinehq.com Sign Up
X Twitter Logo Streamline Icon: https://streamlinehq.com

Tweets

This paper has been mentioned in 2 posts and received 2 likes.

User Circle Single Streamline Icon: https://streamlinehq.com Sign Up to View