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On cosmic no-hair in bimetric gravity and the Higuchi bound

2012/11/30 by Yuki Sakakihara, Y. Sakakihar, Jiro Soda +1 · 26 citations
Physics and Astronomy · #Advanced Differential Geometry Research #Anisotropy #Astrophysics #Black Holes and Theoretical Physics #COSMIC cancer database #Classical mechanics #Constant (computer programming) #Cosmological constant #Cosmology and Gravitation Theories #De Sitter universe #Mathematical physics #Physics #Quantum mechanics #Spin (aerodynamics) #Theoretical physics #Thermodynamics #Universe #astro-ph.CO #gr-qc #hep-th

paper · pdf · doi:10.1093/ptep/ptt004

published in Progress of Theoretical and Experimental Physics 2013(3), 33E02-0 (University of Oxford) · 24 pages, 5 figures, v2: references added, typos corrected

arxiv created 2012/12/10 · openalex publication_date 2013/03/01 · arxiv updated 2016/06/21 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We study the cosmic no-hair in the presence of spin-2 matter, i.e. in bimetric gravity. We obtain stable de Sitter solutions with the cosmological constant in the physical sector and find evidence that the cosmic no-hair is correct. In the presence of the other cosmological constant, there are two branches of de Sitter solutions. Under homogeneous anisotropic perturbations, one of them is always stable and there is no violation of the cosmic no-hair at the linear level. The stability of the other branch depends on parameters and the cosmic no-hair can be violated in general. Remarkably, the bifurcation point of two branches exactly coincides with the Higuchi bound. It turns out that there exists a de Sitter solution for which the cosmic no-hair holds at the linear level and the effective mass for the anisotropic perturbations is above the Higuchi bound.

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