Einstein static universes are unstable in generic f(R) models
arXiv:0901.0892 · doi:10.1103/PhysRevD.79.064009
Abstract
We study Einstein static universes in the context of generic f(R) models. It is shown that Einstein static solutions exist for a wide variety of modified gravity models sourced by a barotropic perfect fluid with equation of state w=p/rho, but these solutions are always unstable to either homogeneous or inhomogeneous perturbations. Our general results are in agreement with specific models investigated in that past. We also discuss how our techniques can be applied to other scenarios in f(R) gravity.
7 pages, 2 figures. Minor corrections. Minor changes and references added to match version accepted by Phys. Rev. D
References in corpus (9)
- Matter density perturbations and effective gravitational constant in modified gravity models of dark energy
- The Einstein static universe in Loop Quantum Cosmology
- The Existence of Einstein Static Universes and their Stability in Fourth order Theories of Gravity
- Eleven spherically symmetric constant density solutions with cosmological constant
- Perturbative aspects and conformal solutions of F(R) gravity
- Braneworld resonances
- Perfect fluid spheres with cosmological constant
- Transforming the Einstein static Universe into physically acceptable static fluid spheres
- Transforming the Einstein static Universe into physically acceptable static fluid spheres II: A two - fold infinity of exact solutions
Cited by in corpus (16)
- Stability of the Einstein static universe in modified Gauss-Bonnet gravity
- On the stability of the Einstein Static Universe in Massive Gravity
- Stability of the Einstein static universe in presence of vacuum energy
- Stability of the Einstein Static Universe in Gauss-Bonnet Gravity
- Einstein static Universe in non-minimal kinetic coupled gravity
- Induced Matter Brane Gravity and Einstein Static Universe
- Stability of the Closed Einstein Universe in Energy-Momentum Squared Gravity
- Inhomogeneous Perturbations and Stability Analysis of the Einstein Static Universe in f(R,T) Gravity
- Stability of the Einstein static Universe in Einstein-Cartan-Brans-Dicke gravity
- Emergent Universe Scenario, Bouncing and Cyclic Universes in Degenerate Massive Gravity
- On the initial singularity in Kantowski-Sachs spacetime
- Emergent Universe in f(Q) gravity theories
- Emergent scenario in mimetic gravity
- Einstein Static Universe and its Stability in Generalized Rastall Gravity
- Analytical approximations for primordial power spectra in a spatially closed emergent universe
- Emergent Cosmology in 4D Einstein Gauss Bonnet Theory of Gravity