Lorentz violating inflation

2006/04/26 by Sugumi Kanno, Jiro Soda · 8 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #De Sitter universe #Geometry #Inflation (cosmology) #Inflaton #Lorentz covariance #Lorentz transformation #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Quantum mechanics #Scalar (mathematics) #Theoretical physics #Universe #astro-ph #gr-qc #hep-ph #hep-th

paper · pdf · doi:10.1103/physrevd.74.063505

published as Phys.Rev. D74 (2006) 063505 · 7 pages, 1 figure

arxiv created 2006/04/26 · openalex publication_date 2006/09/07 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We explore the impact of Lorentz violation on the inflationary scenario. More precisely, we study the inflationary scenario in the scalar-vector-tensor theory where the Lorentz violating vector is constrained to be unit and timelike. It turns out that the Lorentz violating vector affects the dynamics of the chaotic inflationary model and divides the inflationary stage into two parts: the Lorentz violating stage and the standard slow roll stage. We show that the universe is expanding as a de Sitter space-time in the Lorentz violating stage although the inflaton field is rolling down the potential. More interestingly, we find the exact Lorentz violating inflationary solutions in the absence of the inflaton potential. In this case, the inflation is completely associated with the Lorentz violation.

Citations

• Examination of Evidence for a Preferred Axis in the Cosmic Radiation Anisotropy
• Modified Gravity via Spontaneous Symmetry Breaking
• First‐Year Wilkinson Microwave Anisotropy Probe ( WMAP ) Observations: Preliminary Maps and Basic Results
• On the large-angle anomalies of the microwave sky
• Gravity with a dynamical preferred frame
• Gravity, Lorentz violation, and the standard model
• Spontaneous breaking of Lorentz symmetry in string theory
• Extension of the Cosmic-Ray Energy Spectrum beyond the Predicted Greisen-Zatsepin-Kuz'min Cutoff

Cited by

• COSMOLOGICAL ASPECTS OF A VECTOR FIELD MODEL
• Vector field models of inflation and dark energy
• Exact Kantowski–Sachs spacetimes in Einstein–Aether scalar field theory
• Attractor solutions in Lorentz violating scalar-vector-tensor theory
• Observational Constraints on Local Lorentz Invariance
• Impact of Lorentz violation on the dynamics of inflation
• Spatially homogeneous Einstein-aether cosmological models: scalar fields with a generalized harmonic potential
• Einstein–æther models III: conformally static metrics, perfect fluid and scalar fields