Cited by 2Cosmology and Gravitation TheoriesBlack Holes and Theoretical PhysicsNoncommutative and Quantum Gravity Theories

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Einstein-Gauss-Bonnet Gravity with Extra Dimensions

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Abstract

We consider a theory of modified gravity possessing d extra spatial dimensions with a maximally symmetric metric and a scale factor, whose ( 4 + d ) -dimensional gravitational action contains terms proportional to quadratic curvature scalars. Constructing the 4D effective field theory by dimensional reduction, we find that a special case of our action where the additional terms appear in the well-known Gauss-Bonnet combination is of special interest as it uniquely produces a Horndeski scalar-tensor theory in the 4D effective action. We further consider the possibility of achieving stabilised extra dimensions in this scenario, as a function of the number and curvature of extra dimensions, as well as the strength of the Gauss-Bonnet coupling. Further questions that remain to be answered such as the influence of matter-coupling are briefly discussed.

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References 35 · Cited by 2

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  1. Zumino, 1986, Gravity Theories in More Than Four-Dimensions, Phys. Rept., 137, 109, 10.1016/0370-1573(86)90076-1 · DOI
  2. Overduin, 1997, Kaluza-Klein gravity, Phys. Rept., 283, 303, 10.1016/S0370-1573(96)00046-4 · DOI
  3. Rubakov, 2001, Large and infinite extra dimensions: An Introduction, Phys. Usp., 44, 871, 10.1070/PU2001v044n09ABEH001000 · DOI
  4. Brax, 2003, Cosmology and brane worlds: A Review, Class. Quantum Gravity, 20, R201, 10.1088/0264-9381/20/9/202 · DOI
  5. Kanti, 2015, Gauss-Bonnet Inflation, Phys. Rev., D92, 041302
  6. Wongjun, 2015, Casimir Dark Energy, Stabilization of the Extra Dimensions and Gauss-Bonnet Term, Eur. Phys. J., C75, 6, 10.1140/epjc/s10052-014-3237-0 · DOI
  7. Nojiri, 2005, Gauss-Bonnet dark energy, Phys. Rev., D71, 123509
  8. Amendola, 2006, Constraints on Gauss-Bonnet gravity in dark energy cosmologies, J. Cosmol. Astropart. Phys., 2006, 020, 10.1088/1475-7516/2006/12/020 · DOI
  9. Amendola, 2007, Solar System Constraints on Gauss-Bonnet Mediated Dark Energy, J. Cosmol. Astropart. Phys., 2007, 004, 10.1088/1475-7516/2007/10/004 · DOI
  10. Koivisto, 2007, Gauss-Bonnet Quintessence: Background Evolution, Large Scale Structure and Cosmological Constraints, Phys. Rev., D75, 023518
  11. Neupane, 2006, On compatibility of string effective action with an accelerating universe, Class. Quantum Gravity, 23, 7493, 10.1088/0264-9381/23/24/020 · DOI
  12. Leith, 2007, Gauss-Bonnet cosmologies: Crossing the phantom divide and the transition from matter dominance to dark energy, J. Cosmol. Astropart. Phys., 2007, 019, 10.1088/1475-7516/2007/05/019 · DOI
  13. Odintsov, 2018, Viable Inflation in Scalar-Gauss-Bonnet Gravity and Reconstruction from Observational Indices, Phys. Rev., D98, 044039
  14. Carroll, 2002, Classical stabilization of homogeneous extra dimensions, Phys. Rev., D66, 024036
  15. Garraffo, 2008, The Lovelock Black Holes, Mod. Phys. Lett., A23, 1801, 10.1142/S0217732308027497 · DOI
  16. Longden, 2016, Higgs Inflation with a Gauss-Bonnet term in the Jordan Frame, Phys. Rev., D93, 063519
  17. Dimopoulos, 2016, Reheating in Gauss-Bonnet-coupled inflation, Phys. Rev., D94, 023506
  18. Van de Bruck, C., Dimopoulos, K., Longden, C., and Owen, C. (arXiv, 2017). Gauss-Bonnet-coupled Quintessential Inflation, arXiv.
  19. Alberghi, 2006, Gauss-Bonnet brane cosmology with radion stabilization, Phys. Rev., D73, 027702
  20. Charmousis, 2002, General Gauss-Bonnet brane cosmology, Class. Quantum Gravity, 19, 4671, 10.1088/0264-9381/19/18/304 · DOI
  21. Charmousis, 2003, Scalar brane backgrounds in higher order curvature gravity, J. High Energy Phys., 2003, 029, 10.1088/1126-6708/2003/12/029 · DOI
  22. Elizalde, 2007, Stationary vs. singular points in an accelerating FRW cosmology derived from six-dimensional Einstein-Gauss-Bonnet gravity, Phys. Lett., B644, 1, 10.1016/j.physletb.2006.11.031 · DOI
  23. Canfora, 2013, Dynamical compactification in Einstein-Gauss-Bonnet gravity from geometric frustration, Phys. Rev., D88, 064044
  24. Canfora, 2014, Cosmological dynamics in higher-dimensional Einstein-Gauss- Bonnet gravity, Gen. Relat. Gravity, 46, 1805, 10.1007/s10714-014-1805-0 · DOI
  25. Abbott, 2017, Multi-messenger Observations of a Binary Neutron Star Merger, Astrophys. J. Lett., 848, L12, 10.3847/2041-8213/aa91c9 · DOI
  26. Lombriser, 2016, Breaking a Dark Degeneracy with Gravitational Waves, J. Cosmol. Astropart. Phys., 2016, 031, 10.1088/1475-7516/2016/03/031 · DOI · Paper page
  27. Ezquiaga, 2017, Dark Energy After GW170817: Dead Ends and the Road Ahead, Phys. Rev. Lett., 119, 251304, 10.1103/PhysRevLett.119.251304 · DOI · Paper page
  28. Creminelli, 2017, Dark Energy after GW170817 and GRB170817A, Phys. Rev. Lett., 119, 251302, 10.1103/PhysRevLett.119.251302 · DOI · Paper page
  29. Sakstein, 2017, Implications of the Neutron Star Merger GW170817 for Cosmological Scalar-Tensor Theories, Phys. Rev. Lett., 119, 251303, 10.1103/PhysRevLett.119.251303 · DOI
  30. Zumalacarregui, 2014, Transforming gravity: From derivative couplings to matter to second-order scalar-tensor theories beyond the Horndeski Lagrangian, Phys. Rev., D89, 064046
  31. Charmousis, 2012, Self-tuning and the derivation of a class of scalar-tensor theories, Phys. Rev., D85, 104040
  32. Kobayashi, 2011, Generalized G-inflation: Inflation with the most general second-order field equations, Prog. Theor. Phys., 126, 511, 10.1143/PTP.126.511 · DOI · Paper page
  33. Pavluchenko, 2017, Cosmological dynamics of spatially flat Einstein-Gauss-Bonnet models in various dimensions: high-dimensional Λ-term case, Eur. Phys. J., C77, 503, 10.1140/epjc/s10052-017-5056-6 · DOI

Metadata

Authors
van de Bruck, C., & Longden, C.
Affiliations
University of Sheffield (GB)
Venue
Galaxies
Publisher
MDPI AG
Published
2019-03-19
Volume
7
Issue
1
Pages
39
ISSN
2075-4434 (ISSN-L)
OpenAlex
W2892244204
Cited by
2
References
35
Citations by year
2021: 1 · 2019: 1
FWCI
0.27
Type
journal article
Language
en
Open access
Locations
  • Galaxies (publishedVersion, cc-by)
  • arXiv (Cornell University) (submittedVersion)
  • DOAJ (DOAJ: Directory of Open Access Journals) (submittedVersion, cc-by-sa)
  • arXiv (Cornell University)
Funders
Science and Technology Facilities Council (ST/L000520/1, ST/P000800/1)
Topics
  • Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Cosmology and Gravitation Theories
  • Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
  • Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Noncommutative and Quantum Gravity Theories
Keywords
Einstein-Gauss-Bonnet gravity, extra dimensions, modified gravity, quadratic curvature terms, dimensional reduction, effective field theory, matter coupling

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