A covariant Lagrangian for stable nonsingular bounce

2017/05/31 by Yong Cai, Yun-Song Piao · 102 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Covariant transformation #Field (mathematics) #Field theory (psychology) #Gauge covariant derivative #Invertible matrix #Lagrangian #Navier-Stokes equation solutions #Order (exchange) #Quadratic equation #astro-ph.CO #gr-qc #hep-th

paper · pdf · doi:10.1007/jhep09(2017)027

published in Journal of High Energy Physics 2017(9) (Springer Nature) · 12 pages, 6 figures; published in JHEP; an Appendix and references added

openalex created_date 2017/05/19 · openalex publication_date 2017/09/01 · arxiv created 2017/09/13 · arxiv updated 2017/09/14 · openalex updated_date 2026/08/05

Abstract

The nonsingular bounce models usually suffer from the ghost or gradient instabilities, as has been proved recently. In this paper, we propose a covariant effective theory for stable nonsingular bounce, which has the quadratic order of the second order derivative of the field ϕ but the background set only by P (ϕ, X). With it, we explicitly construct a fully stable nonsingular bounce model for the ekpyrotic scenario.

Citations

• Eternal inflation and the initial singularity
• The singularities of gravitational collapse and cosmology
• Second-order scalar-tensor field equations in a four-dimensional space
• Possible explanation to a low CMB quadrupole
• Generalized G-inflation: Inflation with the most general second-order field equations
• Stability of geodesically complete cosmologies
• Instabilities in mimetic matter perturbations