On the stability of the Einstein Static Universe in Massive Gravity

Abstract

We consider static cosmological solutions along with their stability properties in the framework of a recently proposed theory of massive gravity. We show that the modifcation introduced in the cosmological equations leads to several new solutions, only sourced by a perfect fluid, generalizing the Einstein Static Universe found in General Relativity. Using dynamical system techniques and numerical analysis, we show that the found solutions can be either neutrally stable or unstable against spatially homogeneous and isotropic perturbations.

7 pages, 7 figures, 1 table, minor changes, references added

References in corpus (36)

• Generalization of the Fierz-Pauli Action
• Effective Field Theory for Massive Gravitons and Gravity in Theory Space
• The Emergent Universe: inflationary cosmology with no singularity
• Confirmation of the Secondary Constraint and Absence of Ghost in Massive Gravity and Bimetric Gravity
• Ghost-free Massive Gravity with a General Reference Metric
• The Emergent Universe: An Explicit Construction
• Ghosts in Massive Gravity
• Strong interactions and exact solutions in non-linear massive gravity
• An emergent universe from a loop
• The Black Hole and Cosmological Solutions in IR modified Horava Gravity
• Exact Schwarzschild-de Sitter black holes in a family of massive gravity models
• Emergent Universe with Exotic Matter
• On the Stability of the Einstein Static Universe
• Stability of the Einstein static universe in f(R) gravity
• Stability of the Einstein static universe in modified Gauss-Bonnet gravity
• Oscillatory Universes in Loop Quantum Cosmology and Initial Conditions for Inflation
• The Existence of Godel, Einstein and de Sitter Universes
• Cosmological solutions with massive gravitons
• The stability of the Einstein static state in $f(T)$ gravity
• The Einstein static universe in Loop Quantum Cosmology
• Brane-world generalizations of the Einstein static universe
• Dynamics of f(R)-cosmologies containing Einstein static models
• The Existence of Einstein Static Universes and their Stability in Fourth order Theories of Gravity
• Einstein static universes are unstable in generic f(R) models
• Emergent universe from the Hořava-Lifshitz gravity
• The Einstein static universe with torsion and the sign problem of the cosmological constant
• Stability of the Einstein static universe in IR modified Hořava gravity
• A graceful entrance to braneworld inflation
• The stability of Einstein static universe in the DGP braneworld
• Stability of the Einstein Static Universe in open cosmological models
• On the stability of static ghost cosmologies
• Braneworld resonances
• The Instabilities of Bianchi Type IX Einstein Static Universes
• Constraining massive gravity with recent cosmological data
• Einstein static universe as a brane in extra dimensions
• Delocalization of brane gravity by a bulk black hole

Cited by in corpus (39)

• Stability of the Einstein static Universe in $f(R,T)$ gravity
• Einstein static Universe in hybrid metric-Palatini gravity
• Self-accelerating cosmologies and hairy black holes in ghost-free bigravity and massive gravity
• Exact self-accelerating cosmologies in the ghost-free massive gravity -- the detailed derivation
• Einstein Static Universe in Rastall Theory of Gravity
• Einstein's 1917 Static Model of the Universe: A Centennial Review
• Stability of the Einstein static universe in Einstein-Cartan theory
• Stability of the Einstein static universe in Eddington-inspired Born-Infeld theory
• Emergent scenario in the Einstein-Cartan theory
• Emergent Universe from Energy-Momentum Squared Gravity
• Emergent universe in Horava-Lifshitz-like F(R) gravity
• Constraining the Schwarzschild-de Sitter Solution in Models of Modified Gravity
• Quantum Instability of the Emergent Universe
• On the Stability of Einstein Static Universe in Doubly General Relativity Scenario
• Oscillating universe in massive gravity
• Emergent universe in theories with natural UV cutoffs
• Einstein static universe from GUP
• Emergent universe in spatially flat cosmological model
• Stability of the Einstein Static Universe in $4D$ Gauss-Bonnet Gravity
• Einstein static Universe in non-minimal kinetic coupled gravity
• Induced Matter Brane Gravity and Einstein Static Universe
• Compact stars with exotic matter
• On the stability of Einstein static universe at background level in massive bigravity
• Bouncing solutions in $f(T)$ gravity
• Einstein static universe on the brane supported by extended Chaplygin gas
• Emergent Universe Scenario, Bouncing and Cyclic Universes in Degenerate Massive Gravity
• Note About Hamiltonian Formalism for General Non-Linear Massive Gravity Action in Stuckelberg Formalism
• On the initial singularity in Kantowski-Sachs spacetime
• Deformed Horava-Lifshitz Cosmology and Stability of Einstein Static Universe
• On the Stability of Einstein Universe in f(R,T,R_{μν}T^{μν}) Gravity
• Lemaitre-Tolman-Bondi Static Universe in Rastall-like Gravity
• Non-singular model universe from a perfect fluid scalar-metric cosmology
• Formation Of Emergent Universe in Brane Scenario as a Consequence of Particle Creation
• Cosmological Singularities in Conformal Weyl Gravity
• Cosmological future singularities in massive gravity and massive bigravity
• Emergent Cosmology in 4D Einstein Gauss Bonnet Theory of Gravity
• Hamiltonian Dynamics of Cosmological Quintessence Models
• Cosmological Singularities in Brane Gravity
• Stability of the Einstein Static Universe in Zero-Point Length Cosmology with Topological Defects