Ghost-free Palatini derivative scalar-tensor theory: desingularization and the speed test
arXiv:1808.00492 · doi:10.1016/j.physletb.2019.01.061
Abstract
We disclose remarkable features of the scalar-tensor theory with the derivative coupling of the scalar field to the curvature in the Palatini formalism. Using the disformal transformations, we show that this theory is free from Otrogradski ghosts. For a special relation between two coupling constants, it is disformally dual to the Einstein gravity minimally coupled to the scalar, which opens the way to constructing several exact solutions. The disformal transformation degenerates at the boundary of the physical region, near which the properties of desingularization are revealed, illustrated by exact solutions: non-singular accelerating cosmology and a static spherically symmetric geon. We also construct the exact pp-waves of this theory propagating at the speed of light.
arXiv commentNew references added, discussion of disformal duality extended, misprints corrected
References in corpus (40)
- GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
- f(R) Theories Of Gravity
- Gravitational Waves and Gamma-rays from a Binary Neutron Star Merger: GW170817 and GRB 170817A
- Extended Theories of Gravity
- Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
- From k-essence to generalised Galileons
- Dark Energy after GW170817: dead ends and the road ahead
- Strong constraints on cosmological gravity from GW170817 and GRB 170817A
- Dark Energy after GW170817 and GRB170817A
- Palatini Approach to Modified Gravity: f(R) Theories and Beyond
- Implications of the Neutron Star Merger GW170817 for Cosmological Scalar-Tensor Theories
- Transforming gravity: from derivative couplings to matter to second-order scalar-tensor theories beyond the Horndeski Lagrangian
- The Relation between Physical and Gravitational Geometry
- General second order scalar-tensor theory, self tuning, and the Fab Four
- Degenerate higher order scalar-tensor theories beyond Horndeski and disformal transformations
- Exact cosmological solutions with nonminimal derivative coupling
- Cosmology with Nonminimal Derivative Couplings
- Scalar-tensor theories and modified gravity in the wake of GW170817
- Mimetic gravity: a review of recent developments and applications to cosmology and astrophysics
- Disformal invariance of second order tensor-scalar theories: framing the Horndeski action
- Asymptotically flat black holes in Horndeski theory and beyond
- Cosmology with a stiff matter era
- Hybrid metric-Palatini gravity
- Nonminimal Derivative Couplings and Inflation in Generalized Theories of Gravity
- Derivative-dependent metric transformation and physical degrees of freedom
- Palatini formulation of modified gravity with a nonminimal curvature-matter coupling
- Lovelock Gravity at the Crossroads of Palatini and Metric Formulations
- Disformal Inflation
- Ostrogradsky in Theories with Multiple Fields
- Unification of inflation and cosmic acceleration in the Palatini formalism
- Dynamical Aspects of Generalized Palatini Theories of Gravity
- Realistic cosmological scenario with non-minimal kinetic coupling
- Cosmological disformal invariance
- Disformal Gravity Theories: A Jordan Frame Analysis
- Do current cosmological observations rule out all Covariant Galileons?
- General invertible transformation and physical degrees of freedom
- Disformal invariance of cosmological perturbations in a generalized class of Horndeski theories
- Cosmology of non-minimal derivative coupling to gravity in Palatini formalism and its chaotic inflation
- Kundt spacetimes minimally coupled to scalar field
- Comparing metric and Palatini approaches to vector Horndeski theory
Cited by in corpus (20)
- Palatini-Higgs inflation with non-minimal derivative coupling
- Palatini frames in scalar-tensor theories of gravity
- Implications of Palatini gravity for inflation and beyond
- Minimal coupling in presence of non-metricity and torsion
- New class of hybrid metric-Palatini scalar-tensor theories of gravity
- Generation of rotating solutions in Einstein-scalar gravity
- Varying the Horndeski Lagrangian within the Palatini approach
- Conformally invariant proper time with general non-metricity
- Stability of non-degenerate Ricci-type Palatini theories
- A metric-affine version of the Horndeski theory
- Invariant quantities of Scalar-Tensor Theories for stellar structure
- A generalized Weyl structure with arbitrary non-metricity
- The geometry of null-like disformal transformations
- Conformal and kinetic couplings as two Jordan frames of the same theory
- Nutty Kaluza-Klein dyons revisited
- Scalar fields with derivative coupling to curvature in the Palatini and the metric formulation
- Hamiltonian analysis of metric-affine- theory
- On the KG-constrained general disformal transformation of the Einstein-Hilbert action
- Photon surfaces, shadows and accretion disks in gravity with minimally coupled scalar field
- Palatini kinetic scalar-tensor theory: analytical and numerical solutions