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Covariant power-counting renormalizable gravity: Lorentz symmetry breaking and accelerating early-time FRW universe

2010/07/28 by Shin'ichi Nojiri, Shin’ichi Nojiri, Sergei D. Odintsov · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Covariant transformation #De Sitter universe #Friedmann–Lemaître–Robertson–Walker metric #Gravitation #Graviton #Lorentz covariance #Lorentz transformation #Massive gravity #Mathematical physics #Noncommutative and Quantum Gravity Theories #Physics #Quantum mechanics #Theoretical physics #Universe #astro-ph.CO #gr-qc #hep-th

paper · pdf · doi:10.1103/physrevd.83.023001

published as Phys.Rev.D83:023001,2011 · LaTeX, 13 pages

arxiv created 2010/07/28 · openalex publication_date 2011/01/06 · arxiv updated 2011/02/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We continue the study of covariant power-counting renormalizable gravity constrained by a scalar Lagrange multiplier. Lorentz-symmetry breaking is investigated in such a theory in comparison with the one in the ghost condensation model. Covariant power-counting renormalizable vector gravity which is invariant under U(1) gauge symmetry is proposed. Several forms of vector Lagrange multiplier in this theory are discussed. It is shown that the covariant scalar/vector gravity under consideration may have a power-law or de Sitter accelerating cosmological solution corresponding to an inflationary era. The simplest black hole solution is obtained and dispersion relations for graviton are presented.

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