Degenerate higher order scalar-tensor theories beyond Horndeski up to cubic order
arXiv:1608.08135 · doi:10.1007/JHEP12(2016)100
Abstract
We present all scalar-tensor Lagrangians that are cubic in second derivatives of a scalar field, and that are degenerate, hence avoiding Ostrogradsky instabilities. Thanks to the existence of constraints, they propagate no more than three degrees of freedom, despite having higher order equations of motion. We also determine the viable combinations of previously identified quadratic degenerate Lagrangians and the newly established cubic ones. Finally, we study whether the new theories are connected to known scalar-tensor theories such as Horndeski and beyond Horndeski, through conformal or disformal transformations.
29 pages, published version
References in corpus (6)
Cited by in corpus (63)
- Dark Energy after GW170817: dead ends and the road ahead
- Strong constraints on cosmological gravity from GW170817 and GRB 170817A
- Horndeski theory and beyond: a review
- Vainshtein mechanism after GW170817
- Selected topics in scalar-tensor theories and beyond
- Metric-affine Gravity and Inflation
- A Class of Minimally Modified Gravity Theories
- Exact black hole solutions in shift-symmetric quadratic degenerate higher-order scalar-tensor theories
- Linear stability analysis of hairy black holes in quadratic degenerate higher-order scalar-tensor theories: Odd-parity perturbations
- Cosmological self-tuning and local solutions in generalized Horndeski theories
- Vainshtein regime in Scalar-Tensor gravity: constraints on DHOST theories
- Weakly-coupled stealth solution in scordatura degenerate theory
- Hairy black holes in DHOST theories: Exploring disformal transformation as a solution-generating method
- Towards Strong Field Tests of Beyond Horndeski Gravity Theories
- A comparison of Einstein-Boltzmann solvers for testing General Relativity
- Higher Derivative Mimetic Gravity
- Black hole perturbations in DHOST theories: Master variables, gradient instability, and strong coupling
- Effective field theory for gravitational radiation in scalar-tensor gravity
- Caustics for Spherical Waves
- Spontaneous scalarization of black holes in the Horndeski theory
- Minimally modified gravity with an auxiliary constraint: a Hamiltonian construction
- Generalized Regge-Wheeler Equation from Effective Field Theory of Black Hole Perturbations with a Timelike Scalar Profile
- On the screening mechanism in DHOST theories evading gravitational wave constraints
- Black holes with a nonconstant kinetic term in degenerate higher-order scalar tensor theories
- Higher order derivative coupling to gravity and its cosmological implications
- Cosmological models in modified gravity theories with extended nonminimal derivative couplings
- Linear stability of black holes in shift-symmetric Horndeski theories with a time-independent scalar field
- New constraints on cosmological modified gravity theories from anisotropic three-point correlation functions of BOSS DR12 galaxies
- Topological black hole in the theory with nonminimal derivative coupling with power-law Maxwell field and its thermodynamics
- Spatially covariant gravity: Perturbative analysis and field transformations
- Spin-orbit effects for compact binaries in scalar-tensor gravity
- Stellar Pulsations in Beyond Horndeski Gravity Theories
- A geometrical approach to degenerate scalar-tensor theories
- Wave propagation and shock formation in the most general scalar-tensor theories
- 50 Years of Horndeski Gravity: Past, Present and Future
- Disformal transformation of stationary and axisymmetric solutions in modified gravity
- Spinning black holes for generalized scalar tensor theories in three dimensions
- Constraining DHOST theories with linear growth of matter density fluctuations
- Superluminality in DHOST theory with extra scalar
- Spatially covariant gravity with a dynamic lapse function
- Quadratic DHOST theories revisited
- Probing Vainsthein-screening gravity with galaxy clusters using internal kinematics and strong and weak lensing
- Tackling non-linearities with the effective field theory of dark energy and modified gravity
- Neutron stars in degenerate higher-order scalar-tensor theories
- Late time cosmological evolution in DHOST models
- Disformal mappings of spherical DHOST geometries
- Generalising the matter coupling in massive gravity: a search for new interactions
- Self-tuning kinetic gravity braiding: Cosmological dynamics, shift symmetry, and the tadpole
- On the Coupling of Generalized Proca Fields to Degenerate Scalar-Tensor Theories
- Generalized disformal invariance of cosmological perturbations with second-order field derivatives
- Decoupling-limit consistency of the generalized SU(2) Proca theory
- Numerical computation of quasinormal modes in the first-order approach to black hole perturbations in modified gravity
- Ghost-free resummation of gravitational interactions of a 2-form gauge field
- Black holes in the quadratic-order extended vector-tensor theories
- Generalized Horndeski-Like Einstein Gauss-Bonnet Inflation with Massless Primordial Gravitons
- Dimensional aspects of Lovelock-Lanczos gravity
- Degenerate Horava gravity
- Cosmological perturbations in the spatially covariant gravity with a dynamical lapse function
- Gravitational wave interactions in models of dark energy
- New time-dependent solutions of viable Horndeski gravity
- Scale-dependence in DHOST inflation
- Positivity vs. Lorentz-violation: an explicit example
- The Black Hole Window on Cosmic Inflation