Bounces, turnarounds and singularities in bimetric gravity

Abstract

In this letter, we consider cosmological solutions of bimetric theory without assuming that only one metric is coupled to gravity. We conclude that any cosmology can be described by fixing the matter content of the space that we are not inhabiting. On the other hand, we show that some conclusions can still be extracted independently of the matter content filling both spaces. In particular, we can conclude the occurrence of some extremality events in one universe if we know that they take place in the other space.

5 pages, to appear in Phys. Lett. B

References in corpus (26)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• f(R) theories
• Extended Theories of Gravity
• f(R,T) gravity
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• Phantom Energy and Cosmic Doomsday
• Extended Theories of Gravity and their Cosmological and Astrophysical Applications
• Bimetric Gravity from Ghost-free Massive Gravity
• Confirmation of the Secondary Constraint and Absence of Ghost in Massive Gravity and Bimetric Gravity
• Metric-Palatini gravity unifying local constraints and late-time cosmic acceleration
• Cosmological Solutions in Bimetric Gravity and their Observational Tests
• Geodesic behavior of sudden future singularities
• Cosmological solutions with massive gravitons in the bigravity theory
• Accelerated expansion from ghost-free bigravity: a statistical analysis with improved generality
• FRW Cosmology in Ghost Free Massive Gravity
• Perturbations in Massive Gravity Cosmology
• Worse than a big rip?
• Classification of cosmological milestones
• Necessary and sufficient conditions for big bangs, bounces, crunches, rips, sudden singularities, and extremality events
• Classifying and avoiding singularities in the alternative gravity dark energy models
• Massive gravity from bimetric gravity
• Ghost-free $F(R)$ bigravity and accelerating cosmology
• On horizon structure of bimetric spacetimes
• Global structure of bigravity solutions
• Gordon and Kerr-Schild ansatze in massive and bimetric gravity
• Generalized Puisieux series expansion for cosmological milestones

Cited by in corpus (23)

• Bounce cosmology from $F(R)$ gravity and $F(R)$ bigravity
• Trace-anomaly driven inflation in $f(T)$ gravity and in minimal massive bigravity
• Bimetric gravity doubly coupled to matter: theory and cosmological implications
• Finite-time Cosmological Singularities and the Possible Fate of the Universe
• Self-accelerating cosmologies and hairy black holes in ghost-free bigravity and massive gravity
• Higher Derivative Gravity and Conformal Gravity From Bimetric and Partially Massless Bimetric Theory
• The Cosmology of Interacting Spin-2 Fields
• Linear growth of structure in massive bigravity
• Variety of cosmic acceleration models from massive $F(R)$ bigravity
• New proposal for non-linear ghost-free massive $F(R)$ gravity: cosmic acceleration and Hamiltonian analysis
• Strong lensing constraints on bimetric massive gravity
• New massive bigravity cosmologies with double matter coupling
• Cosmology in ghost-free bigravity theory with twin matter fluids: The origin of "dark matter"
• Cosmology and Stability in Scalar-Tensor bigravity
• External stability for Spherically Symmetric Solutions in Lorentz Breaking Massive Gravity
• A general theory of linear cosmological perturbations: bimetric theories
• Ghost-Free Massive $f(R)$ Theories Modelled as Effective Einstein Spaces and Cosmic Acceleration
• Singular Accelerated Evolution in Massive $F(R)$ Bigravity
• Is there vacuum when there is mass? Vacuum and non-vacuum solutions for massive gravity
• Renormalizable toy model of massive spin two field and new bigravity
• New massive spin two model on curved space-time
• Stability analysis for new theories of massive spin-two particle and black hole entropy of new bigravity
• Cosmology and stability in scalar tensor bigravity with non-minimal kinetic coupling gravity