Disformal Gravity Theories: A Jordan Frame Analysis
arXiv:1509.05679 · doi:10.1103/PhysRevD.92.123005
Abstract
The Jordan frame action for general disformal theories is presented and studied for the first time, motivated by several unresolved mysteries that arise when working in the Einstein frame. We present the Friedmann equations and, specialising to exponential functions, study the late-time cosmology using dynamical systems methods and by finding approximate solutions. Our analysis reveals that either the disformal effects are irrelevant or the universe evolves towards a phantom phase where the equation of state of dark energy is . There is a marginal case where the asymptotic state of the universe depends on the model parameters and de-Sitter solutions can be obtained. Our findings indicate that the metric singularity found using the Einstein frame construction corresponds phantom behaviour in the Jordan frame and we argue that this is the case for general disformal theories.
Updated to reflect published version, results unchanged. 15 pages, 9 figures, 4 tables
References in corpus (21)
- Dynamics of dark energy
- Covariant Galileon
- Generalized Galileons: All scalar models whose curved background extensions maintain second-order field equations and stress tensors
- Exploring gravitational theories beyond Horndeski
- DBI and the Galileon reunited
- Unifying framework for scalar-tensor theories of gravity
- Hamiltonian analysis of spatially covariant gravity
- Counting the degrees of freedom of generalized Galileons
- Disformal couplings and the dark sector of the universe
- Disformal Theories of Gravity: From the Solar System to Cosmology
- Constraining Disformally Coupled Scalar Fields
- Cosmological disformal invariance
- Towards Viable Cosmological Models of Disformal Theories of Gravity
- Disformal dark energy at colliders
- Solar System Constraints on Disformal Gravity Theories
- Derivative Chameleons
- Explaining the Proton Radius Puzzle with Disformal Scalars
- Disformal vectors and anisotropies on a warped brane
- Scalar field deformations of Lambda-CDM cosmology
- Cosmological disformal transformations to the Einstein frame and gravitational couplings with matter perturbations
- Galaxy cluster constraints on the coupling to photons of low-mass scalars
Cited by in corpus (52)
- Implications of the Neutron Star Merger GW170817 for Cosmological Scalar-Tensor Theories
- Dynamical systems applied to cosmology: dark energy and modified gravity
- Extended Scalar-Tensor Theories of Gravity
- Tests of Chameleon Gravity
- Horndeski: beyond, or not beyond?
- A Compendium of Chameleon Constraints
- Testing Gravity Using Dwarf Stars
- The Novel Probes Project -- Tests of Gravity on Astrophysical Scales
- Direct detection of dark energy: the XENON1T excess and future prospects
- Relativistic stars in scalar-tensor theories with disformal coupling
- Towards Strong Field Tests of Beyond Horndeski Gravity Theories
- Palatini-Higgs inflation with non-minimal derivative coupling
- Implications of Palatini gravity for inflation and beyond
- Cosmological dynamics of scalar fields with kinetic corrections: Beyond the exponential potential
- Screened Fifth Forces Mediated by Dark Matter-Baryon Interactions: Theory and Astrophysical Probes
- Searching for scalar gravitational interactions in current and future cosmological data
- Spatially covariant theories of gravity: disformal transformation, cosmological perturbations and the Einstein frame
- Field redefinitions in theories beyond Einstein gravity using the language of differential forms
- Gravitational Effects of Disformal Couplings
- Stellar Pulsations in Beyond Horndeski Gravity Theories
- Spin-orbit effects for compact binaries in scalar-tensor gravity
- Ghost-free Palatini derivative scalar-tensor theory: desingularization and the speed test
- Scalar Fields Near Compact Objects: Resummation versus UV Completion
- Disformally coupled inflation
- Quasi-normal modes of black holes in scalar-tensor theories with non-minimal derivative couplings
- New class of generalized coupling theories
- Disformally Coupled Scalar Fields and Inspiralling Trajectories
- Dynamical system approach of non-minimal coupling in AdS/CFT cosmology
- Disformally Coupled Quintessence
- Dark D-Brane Cosmology: from background evolution to cosmological perturbations
- Forecasts on interacting dark energy with standard sirens
- A generalized Weyl structure with arbitrary non-metricity
- Non-Gaussianity in multi-sound-speed disformally coupled inflation
- Imprints of screened dark energy on nonlocal quantum correlations
- Coupled dark energy model inspired from general conformal transformation
- Spin precession as a new window into disformal scalar fields
- The geometry of null-like disformal transformations
- Novel Screening with Two Bodies: Summing the ladder in disformal scalar-tensor theories
- Stars disformally coupled to a shift-symmetric scalar field
- Dynamics of the universe with disformal coupling between the dark sectors
- Conformal and kinetic couplings as two Jordan frames of the same theory
- Spherical collapse and cluster number counts in dark energy models disformally coupled to dark matter
- Minimal exponential measure model in the post-Newtonian limit
- Potential-driven Inflation with Disformal Coupling to Gravity
- Cosmological attractors to general relativity and spontaneous scalarization with disformal coupling
- Space and time ambiguities in vacuum electrodynamics
- Non-linear Phenomenology of Disformally Coupled Quintessence
- From disformal electrodynamics to exotic spacetime singularities
- On the hypotheses of Penrose's singularity theorem under disformal transformations
- Vainshtein mechanism in general purely disformal gravity theory
- Palatini kinetic scalar-tensor theory: analytical and numerical solutions
- Constraints on a cubic Galileon disformally coupled to Standard Model matter