2015/03/04 by Ryo Saito, Daisuke Yamauchi, Shuntaro Mizuno +2
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Astrophysics #Classical mechanics #Cosmology #Cosmology and Gravitation Theories #Dark energy #Equation of state #Fifth force #Gravitation #Graviton #Limit (mathematics) #Massive gravity #Mathematical physics #Physics #Polytropic process #Quantum mechanics #Statistical Mechanics and Entropy #Theoretical physics #astro-ph.CO #astro-ph.SR #gr-qc #hep-th
paper · pdf · doi:10.1088/1475-7516/2015/06/008
11 pages, 6 figures
arxiv created 2015/03/04 · openalex publication_date 2015/06/05 · arxiv updated 2015/06/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Many theories of modified gravity, including the well studied Horndeski models, are characterized by a screening mechanism that ensures that standard gravity is recovered near astrophysical bodies. In a recently introduced class of gravitational theories that goes beyond Horndeski, it has been found that new derivative interactions lead to a partial breaking of the Vainshtein screening mechanism inside any gravitational source, although not outside. We study the impact of this new type of deviation from standard gravity on the density profile of a spherically symmetric matter distribution, in the nonrelativistic limit. For simplicity, we consider a polytropic equation of state and derive the modifications to the standard Lane-Emden equations. We also show the existence of a universal upper bound on the amplitude of this type of modified gravity, independently of the details of the equation of state.